Sketch the region whose area is given by the integral. Evaluate the integral. IL *6 sin(8) rdr de x Evaluate the iterated integral by converting to polar coordinates. 2x - x2 1 1/2 - $ 7x² + y2 dy dx JO
Answers
The given integral represents the area of a region. However, without more information about the limits of integration or any constraints, it's not possible to accurately sketch the region.
Sketch the region and evaluate the integral, let's break down the process step by step:
The given integral represents the area of a region. However, without more information about the limits of integration or any constraints, it's not possible to accurately sketch the region. Please provide the limits of integration or any additional information to proceed with the sketch.
Evaluating the Integral:
For the integral IL * 6sin(8) rdr de x, we need to know the limits of integration for both 'r' and 'x' to evaluate the integral. Without specific limits, it's not possible to provide a numerical evaluation. Please provide the limits of integration for 'r' and 'x' to proceed with the evaluation.
Converting the Iterated Integral to Polar Coordinates:
The given iterated integral ∫∫ 2x - x^2 (1/2 - √(7x^2 + y^2)) dy dx needs to be converted to polar coordinates.
To convert the integral to polar coordinates, we need to express the limits of integration and the differential elements in terms of polar coordinates. The conversion formulae are:
x = rcosθ
y = rsinθ
dx dy = r dr dθ
Let's apply these transformations to the given integral:
∫∫ 2x - x^2 (1/2 - √(7x^2 + y^2)) dy dx
= ∫∫ 2(rcosθ) - (rcosθ)^2 (1/2 - √(7(rcosθ)^2 + (rsinθ)^2)) r dr dθ
= ∫∫ 2rcosθ - r^2cos^2θ (1/2 - √(7r^2cos^2θ + r^2sin^2θ)) r dr dθ
Now, the limits of integration for 'x' and 'y' need to be expressed in terms of polar coordinates.
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Related Questions
PLEASE HELP! 5√x^5/6 * √x
Which of the following expressions is equivalent to the expression above?
O x^23/15
O 12√x
O x^2/3
O x^31/60
Answers
For given expression 5√x^5/6 * √x an equivalent expression is, x^(2/3)
The correct answer is an option (C) x^2/3
In this question, we have been given an expression 5√x^5/6 * √x
We need to find an equivalent expression to given expression.
Consider given expression,
(5√x)^5/6 . √x
= (x^1/5)^ 5/6 . x^(1/2)
= x^(1/5*5/6) . x^(1/2)
= x^(1/6) . x^(1/2)
= x^(1/6 + 1/2)
= x^(2/3)
Therefore, for given expression 5√x^5/6 * √x an equivalent expression is, x^(2/3)
The correct answer is an option (C) x^2/3
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use the rule for sample means to explain why it is desirable to take as large a sample as possible when trying to estimate a population value.
Answers
By taking a larger sample, you increase your chances of obtaining an accurate estimate of the population value you are interested in.
The rule for sample means, also known as the law of large numbers, states that as the sample size increases, the sample mean will more closely approximate the population mean. This is a fundamental principle in statistics that underscores the importance of taking as large a sample as possible when trying to estimate a population value. Let's delve into the reasons behind this desirability.
Increased Precision: By taking a larger sample, you increase the amount of information you have about the population. This additional information leads to a more precise estimate of the population value. A larger sample reduces the impact of random fluctuations or sampling error, resulting in a more accurate estimation of the population mean.
Decreased Sampling Variability: When you draw a small sample from a population, there is a greater likelihood that the sample might not accurately represent the population characteristics. Small samples are more susceptible to random variations, which can lead to larger discrepancies between the sample mean and the population mean. In contrast, larger samples tend to smooth out these variations and provide a more stable estimate.
Reduced Bias: Bias refers to the systematic deviation between the sample statistic (such as the sample mean) and the population parameter (such as the population mean). Taking a larger sample reduces the potential for bias by encompassing a more diverse range of observations from the population. This inclusivity helps to mitigate the influence of any specific subset of the population that may have unique characteristics.
Increased Confidence Interval Accuracy: When estimating a population value, it is common to construct a confidence interval to quantify the uncertainty associated with the estimate. A larger sample size leads to narrower confidence intervals, indicating a more precise estimate. This narrower interval reflects increased confidence in the estimated range that captures the population value, providing a more useful and reliable estimation.
Enhanced Generalizability: By collecting a larger sample, you increase the representativeness of your sample relative to the population. A larger sample size allows for a better reflection of the population's diversity, ensuring that various subgroups and characteristics are adequately represented. This improves the generalizability of your findings, enabling you to draw more accurate conclusions about the entire population.
In summary, the rule for sample means emphasizes the desirability of larger sample sizes when estimating population values. Larger samples yield more precise estimates, reduce sampling variability and bias, enhance confidence interval accuracy, and increase the generalizability of the findings.
Therefore, By taking a larger sample, you increase your chances of obtaining an accurate estimate of the population value you are interested in.
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Need help? Step by step solving?
Answers
Step-by-step explanation:
=4+5-6
=9-6
=3d^2
plzzzz mark me brainliest if it helps you then
engineers must consider the diameters of heads when designing helmets. the company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 6.4-in and a standard deviation of 0.9-in. due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 1.4% or largest 1.4%. what is the minimum head diameter that will fit the clientele? min
Answers
The largest head diameter that can accommodate the clientele is 8.5743
Mean, u = 6.4
Standard deviation = 0.9
We must utilize the inverse of the common normal table to obtain our values.
the smallest head width possible.
P(Z < z) = 1.4%
P(Z < z) = 0.014
P(Z < -2.0749) = 0.014
z = -2.0749
Using the z-score calculation,
(x - μ) ÷ σ = \(Z_{0.019}\)
Let x be the heads' breath.
Making x the focus of the equation,
x = z × σ + μ
We already have:
z = -2.0749
u = 6.5
s.d = 1
Replacing numbers,
x = (-2.0749 × 1) + 6.5
x = 4.4251
The clientele requires a minimum head breadth of 4.4251.
The largest head width that can be accommodated.
P(Z > z) = 1.4%
1 - P(Z < z) = 0.014
P(Z < z) = 1 - 0.014 = 0.981
P(Z < 2.0749) = 0.981
Using the z-score calculation,
(x - μ) ÷ σ = \(Z_{0.019}\)
Let x be the heads' breath.
Making x the focus of the equation,
x = z × σ + μ
z = 2.0749
u = 6.5
s.d = 1
Substituting figures,
x = (2.0749 × 1) + 6.5
x = 4.4251
x = 8.5743
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ARCHERY The height, in feet, of an arrow can be modeled by the expression 89- 161², where is the time in
seconds. Factor the expression.
Answers
The factored expression is 89 - 161² = - ( 161 + √89 ) ( 161 - √89 ).
How to determine factored expression?The expression can be factored as:
89 - 161² = -161² + 89
Use the difference of squares formula, which states that:
a² - b² = ( a + b )( a - b )
In this case,:
a = 161 and b = √89
So, write:
-161² + 89 = - ( 161 + √89 ) ( 161 - √89 )
Therefore, the factored expression is:
89 - 161² = - ( 161 + √89 )( 161 - √89 )
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what is the product of these measurements 23.6 km x 3.0 km?
Answers
The product of these measurements 23.6 km x 3.0 km is 70.8 km².
The product of measurements is the total area or volume of an object or space. To find the product of measurements, you must multiply the length by the width and/or the height.
In addition to finding the product of measurements for geometric shapes, you can also find the product of measurements for other objects, such as furniture, appliances, or even clothing.
The measurements are 23.6 km x 3.0 km.
So the product of the measurements 23.6 km x 3.0 km is
= 23.6 km x 3.0 km
= 70.8 km²
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For a criminal trial, 8 active and 4 alternate jurors are selected. Two of the alternate jurors are male and two are female. During the trial, two of the active jurors are dismissed. The judge decides to randomly select two replacement jurors from the 4 available alternates. What is the probability that both jurors selected are female? 1/12 1/6 1/2 1/4
Answers
The probability that both jurors selected are female is 1/6. To calculate the probability that both jurors selected are female,.
We need to determine the number of favorable outcomes (two female jurors selected) divided by the total number of possible outcomes.
In this scenario, there are two female alternate jurors available out of a total of four alternates. Since we need to select two jurors, we can use combinations to calculate the number of possible outcomes.
The number of possible outcomes is given by selecting 2 jurors out of 4, which can be calculated as:
C(4, 2) = 4! / (2! * (4-2)!) = 6
Therefore, there are 6 possible outcomes.
Out of these possible outcomes, we are interested in the favorable outcome where both selected jurors are female. Since there are two female alternate jurors available, we can calculate the number of favorable outcomes by selecting 2 female jurors out of 2, which is:
C(2, 2) = 2! / (2! * (2-2)!) = 1
Therefore, there is 1 favorable outcome.
Now, we can calculate the probability:
Probability = Number of favorable outcomes / Number of possible outcomes
= 1 / 6
= 1/6
Thus, the probability that both jurors selected are female is 1/6.
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g Milk consumption and lactose digestion after weaning are exclusively human traits made possible by the continued production of the enzyme lactase in adulthood. In Europe and northwestern India, adult lactase persistence is considered a classic case of biocultural evolution since herders of Indian and European cattle share their predominant allele for lactase persistence and its presence in the human population appears to coincide with the presence of genes in the herded cattle for increased milk production. Multiple independent mutations in a 100-bp region-part of an enhancer-approximately 14-kb upstream of the LCT gene are associated with this trait in Europeans and pastoralists from Saudi Arabia and Africa. However, a single mutation of purported western Eurasian origin accounts for much of observed lactase persistence outside Africa. What is the dominant gene coding for adult lactase persistence in Europe and India? a. The south Asian -13910 C>T mutation has emerged as the dominant gene coding for adult lactase persistence in India and Europe. b. The west Eurasian -13910 C>T mutation accounts for nearly all the genetic variation observed in the 400- to 700-bp LCT regulatory region. c. None of the above. d. The north Atlantic -13910 C>T mutation is the basis for lactase persistence throughout the entire milk-drinking world. e. The east African -13910 C>T mutation diffused into Indian and then westward into Europe around 15 kya.
Answers
The dominant gene coding for adult lactase persistence in Europe and India is the east African -13910 C>T mutation diffused into Indian and then westward into Europe around 15 kya. The correct option is e.
In European popular and other areas population the lactase productions in body being continued throughout the life for lactase persistence. If we focus only on the European population a single -13,910×T genetic variant strongly associated with lactase persistence.
This genetic variant helps in natural adaptation. Enhancer region for the transcription of LCT is MCM6 which is upstream to LCT . In east Africa -13910 C>T mutation occurs which diffuse to India and western Europe. Option (a) is incorrect because this mutation indicate the high quantity of lactating animals and option (b) is incorrect because the mutation occurs in upstream region.
Therefore, option (e) is correct as mentioned above.
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which geometric concept is most useful when explaining the effect of a rotation on a segment
A. angle
B. parallel lines
C. perpendicular lines
D. scale factor
Answers
The required concept that is most useful when explaining the effect of a rotation is the angle. Option A is correct.
Given that,
To determine that which geometric concept is most useful when explaining the effect of a rotation on a segment.
Geometry is the mathematical study of figures and shapes.
here,
When it is to rotate the main geometric concept that must explain is the angle, for the rotation, it must me known how much angle the rotation is initiated.
Thus, the required concept that is most useful when explaining the effect of a rotation is the angle. Option A is correct.
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What does A Equal in this Problem?
Answers
\(\text{Area of the trapezoid}= \left(\dfrac{AD+BC}2\right)CK\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\left( \dfrac{10+8}2\right) \times 30 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{18}2 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=9 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=270~~ \text{sq units.}\)
Help me please I’ll give brainliest if your correct
Answers
To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:
x = -b/2a
where a = -5 and b = 286.
x = -b/2a
x = -286/(2(-5))
x = 28.6
So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).
Therefore, the widgets should be sold for $28.60 to maximize the company's profit.
Hope I helped ya...
Answer:
29 cents
Step-by-step explanation:
The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:
\(y=-5x^2+286x-2275\)
The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.
The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:
\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)
For the given equation, a = -5 and b = 286.
Substitute these into the formula:
\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)
\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)
\(\implies x_{\sf vertex}=\dfrac{286}{10}\)
\(\implies x_{\sf vertex}=28.6\)
Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.
Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.
The perimeter of a rectangle is 48 centimeters, The relationship
between the length, the width, and the perimeter of the rectangle
can be described with the equation 2 • length + 2 • width = 48.
Find the length, in centimeters, if the width is:
1. 10 centimeters
2. 3.6 centimeters
3. w centimeters
Answers
1. L= 14 cm
2. L= 20.4 cm
3. L= 12 cm
Our formula is 2L + 2W = 48
Substitute given values
1.
2L + 2W = 48
2L + 2(10) = 48
2L + 20 = 48
2L +20 -20 = 48 - 20
2L = 28
L = 14
2.
2L + 2W = 48
2L + 2(3.6) = 48
2L + 7.2 = 48
2L + 7.2 - 7.2 = 48 - 7.2
2L = 40.8
L = 20.4
3.
2L + 2W = 48
W = 12
L = 12
* note, #3 says w = w cm? I assumed if w = w to solve the equation as 2L + 2W = 48 with no variable
-2(-7+11)-5-{-2+(-3+5)-[4-(2+3)]}
Answers
Answer:
The answer is -14 .
Step-by-step explanation:
Using BODMAS rule.... at first solve the bracketed problem... then you wm get your answer!
Determine the 8th term in the geometric sequence whose first term is -10 and whose common ratio is 2.
Help pls!
Answers
Answer:
T8 = -1280
Step-by-step explanation:
Tn = ar^n - 1
T8 = ar^7
T8 = -10*2⁷
T8 = -1280
Plz answer this is important
Answers
Answer:
78.5714
Step-by-step explanation:
given,
radius=5cm
now,
area of circle (A)=
\( = \frac{22}{7} \times {5}^{2} \\ \\ \\ = \frac{22}{7} \times 25 \\ \\ = 78.5714 {cm}^{2} \)
What is the value of f(x) when X=-3
f(x) = 2x2 + 4x+10
A. -14
B. -8
C. 16
D. 34
Answers
16
Step-by-step explanation:
f(x) = 2x^2 + 4x + 10
f(-3) = 2(-3)^2 + 4(-3) + 10
f(-3) = 2(9) + (-12) + 10
f(-3) = 18 + (-12) + 10
f(-3) = 16
Richard' Bakery recently pent a total of $594 on new equipment, and their average hourly operating cot are $5. Their average hourly receipt are $23. The bakery will oon make back the amount it inveted in equipment. How many hour will that take? What would the total expene and receipt both equal?
Answers
The required operating time, total expense and receipt are 33hours, $759 and $759 respectively.
How to get hours in operation?
It is time taken by worker or operator to operate particular work.
We have given,
Spend money = $594
Average hourly operating cost = $5.
Average hourly receipt = $23
Accoridng to question:Let time taking in operation be h,
594 + 5h = 23h
18h = 594
h = 33 hours.
and
Total expense = 23h =$23(33) =$ 759
receipt =594 + 5h = 594 + 5(33) = 594 + 165 =$ 759
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Factor this expression completely, then place the factors in the proper location on the grid. A3y + 1
Answers
Answer: HI your question is incomplete/poorly attached below is the complete question
answer
( a + 3 ) , ( b + 2 )
Step-by-step explanation:
Given expression = ab + 2a + 3b + 6
factorizing the expression completely we will have
= a( b + 2 ) + 3 ( b + 2 )
hence the factors of the expression = ( a + 3 ) , ( b + 2 )
n is a point on mp such that np is four more than three times mn. if mp= 4, find mp.
Answers
The length of NP is 4 units.
To find NP.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations. Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given that:
Let MN be of length x.
Therefore, NP = 4+3*x
Since, MP = MN+NP
→ MP = x+4+3*x
→ 4= x+4+3*x
Since MP=4
→ 4 = 4+4*x
→ 4*x = 4-4
→ 4*x = 0
→ x = 0.
Therefore, NP = 4+3*x
→ NP = 4+3*0 = 4.
So, the length of NP is 4 units.
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How would I translate 8+7t=22 into a verbal sentence.
Answers
Calculate the index of refraction nr of the indicated refractive medium given the following assumptions:
Answers
Given:
\(\begin{gathered} n_i=1.00 \\ \theta_i=60\degree \\ \theta_r=18.5\degree \end{gathered}\)Required:
To find the value of nr.
Explanation:
The Snell's law is
\(\begin{gathered} n_i\sin\theta_i=n_r\sin\theta_r \\ \\ n_r=\frac{n_i\sin\theta i}{\sin\theta_r} \\ \\ =\frac{1.00\times\sin60}{\sin18.5} \\ \\ =\frac{1\times0.8660}{0.3173} \\ \\ =2.7292 \\ \\ n_r=2.73 \end{gathered}\)
Rationalize the denominator of each expression.
√5x⁴y / √2x²y³
Answers
The rationalized form of √5x⁴y / √2x²y³ is √(10x⁶y⁴) / (2x²y³), obtained by multiplying both numerator and denominator by the conjugate.
To rationalize the denominator of √5x⁴y / √2x²y³, we need to eliminate the square root from the denominator.
This can be done by multiplying both the numerator and denominator by the conjugate of the denominator, which in this case is √2x²y³.
(√5x⁴y / √2x²y³) * (√2x²y³ / √2x²y³)
Applying the multiplication of the numerators and denominators, we get:
(√(5x⁴y * 2x²y³)) / (√(2x²y³ * 2x²y³))
Simplifying inside the square roots:
(√(10x⁶y⁴)) / (√(4x⁴y⁶))
This simplifies further to:
√(10x⁶y⁴) / √(4x⁴y⁶)
Finally, we can simplify the square roots:
√(10x⁶y⁴) / (2x²y³)
Therefore, the expression after rationalizing the denominator is √(10x⁶y⁴) / (2x²y³).
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Mary has $65,000 to invest in two accounts. The first account is a private savings offering 6% annual interest and the second account is a government savings account offering 4% annual interest. How much money should Mary invest in each account to make $3520 in total annual interest.
Answers
Answer:
first account with 6% interest ( x ) = $46000
second account with 4% interest ( y ) = $19000
Step-by-step explanation:
Principal = $65000
first interest rate = 6%
second interest rate = 4%
assuming ; X = money invested in first account , Y = money invested in second account
hence :
( 65000 - y ) * 6% + ( 65000 - x ) * 4% = 3520
3900 - 0.06 y + 2600 - 0.04 x = 3520
0.04 x + 0.06 y = 3900 + 2600 - 3520
0.04 x + 0.06 y = 2980 ----- ( 1)
x + y = 65000 ------- ( 2 )
solve equation 1 and 2 simultaneously by elimination method
0.04 x + 0.06 y = 2980 ------ ( 3 )
0.06 x + 0.06 y = 3900 ------- ( 4 )
subtract equation 3 form equation 4
0.02 x = 920 , hence x = $46000
therefore y = $65000 - $46000 = $19000
How do you simplify 0.1m x \(2\pi\)?
Answers
Answer:
0.2π m
Step-by-step explanation:
Assuming your "x" is a multiplication symbol, form the product of the numerical constants.
= 0.2mπ
If m represents units of meters, it can be placed last:
= 0.2π m
If you want an approximate value, use an appropriate approximation of π.
≈ 0.628319 m
A poll conducted by the UC Berkeley Institute of Governmental Studies in 2019 found that 51.7% of 4527 respondents said they considered moving out of the state. Complete parts a through c. a) Compute a 90% confidence interval for the proportion of all Californians who considered moving out of state. b) Int repret your interval in this context. Select the correct answer below and fill in the answer baxes to complete your choice: (Type integers or decimals rounded to one decimal place as needed.) A. One is 90% conficent that the probability a randomly sampled Casfornian who considered moving out of the state is between and B. One is 90% confident that the true proportion of Californans who considered moving out of the slate is between y and C. The percent of Calilomians who considered moving out of the state is between % and D. There is a 90se chance, based on this sample, that betreen … and % of Californians considered moving out of state c) Since high cost of housing has often been cited as a reason why residents move out, suppose thę state government wil consider investing in new aftordable housing initiatives if it can be reasonably sure that more than 50% of Californians would consider moving. What should the state government conclude, based on the data? Since the contidence interval _____50\%, the state government____consider investing in new atordabie housing initiatives.
Answers
Therefore, the state government should consider investing in new affordable housing initiatives.
a) To compute the 90% confidence interval, we can use the formula:
CI = p ± z*(√(p(1-p))/n)
where p is the sample proportion, z is the z-score corresponding to a 90% confidence level (which is 1.645), and n is the sample size.
Plugging in the values, we get:
CI = 0.517 ± 1.645*(√((0.517)(1-0.517))/4527)
CI = 0.505 to 0.529 (rounded to three decimal places)
b) The 90% confidence interval tells us that we are 90% confident that the true proportion of Californians who considered moving out of the state is between 0.505 and 0.529.
c) Since the confidence interval does not include the value of 0.5, which is the null hypothesis value, we can conclude that there is evidence to suggest that more than 50% of Californians would consider moving out of state due to high cost of housing.
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sylvia surveyed her classmates at school to find out who plays sports at her school.the table below shows the number of students that bplay diffrent sports
_____________________
sport | number of players |
--------------------------------------- |
basketball | 30 .......................|
soccer | 60 ............................|
tennis | 120 .............................|
volleyball | 90 ........................|
------------------------------------
which of sport represents 20% (.2) of those who surveyed?
A basketball
B soccer
C tennis
D Volleyball
Answers
Answer:
Using the info you just gave,
Basketball, 8 studentsfootball, 7 studentsSoccer 12 studentsother, 13 students
We can now figure out the percentage of students that did NOT select soccer.
First, you need to add all the students together.
8 + 7 + 12 + 13
You get 40 students all together.
Now, add together the students that DID NOT choose soccer.
7 + 8 + 13 = 29
That means that 28/40 of the students did not choose soccer.
Now, convert that to a percentage.
28/40 = 0.7
To make that into a percentage, multiply by 100
Thus, the percentage of students that did not select soccer is 70%.
Hope this helped!
23 x 536 * Your answer
Answers
Answer:
12328
Step-by-step explanation:
Use the algorithm method.
2 3
× 5 3 6
1 1
1 3 8
6 9 0
1 1
1 1 5 0 0
1 1
1 2 3 2 8
Therefore, 23*536=12328
Simplify: 5m + 3b - 9m - 4w Responses 14m + 7b 14m + 7b 14m + 3b - 4w 14m + 3b - 4w -4m + 3b - 4w -4m + 3b - 4w 21
Answers
Answer:
3b-4w-4m
Step-by-step explanation:
3b-4w+5m-9m
3b-4w-4m
Answer:
-4m+3b-4w
Step-by-step explanation:
5m+3b-9m-4w
we combine like terms but in this case only the m are like terms
5m-9m+3b-4w
-4m+3b-4w
i cant really see the options but it looks like it is the second to last or c option
hopes this helps please mark brainliest
What are the x-intercept and the y-intercept of the graph of 9x − 7y = −63?A.x-intercept: 7; y-intercept: −9B.x-intercept: −7; y-intercept: 9C.x-intercept: 9; y-intercept: −7D.x-intercept: −9; y-intercept: 7
Answers
Equation of a line:
9x - 7y = -63
To find the x-intercept we have to substitute y = 0 into the equation, as follows:
9x - 7*0 = -63
9x = -63
Dividing by 9 at both sides of the equation:
9x/9 = -63/9
x = -7
To find the y-intercept we have to substitute x = 0 into the equation, as follows:
9*0 - 7y = -63
-7y = -63
Dividing by -7 at both sides of the equation:
-7y/(-7) = -63/(-7)
y = 9
Answer
x-intercept: −7; y-intercept: 9
I need help ASAP please help! I have to choose between 4 graphs
Answers
Answer:
Step-by-step explanation:
This is a sideways cubic translated down 2 units. The graph shown is the sideways cubic translated up 2. So locate the graph that looks like this but has its "squiggly part" at -2 instead of 2.