Which graph shows the system StartLayout Enlarged left-brace 1st row x squared + y = 2 2nd row x squared + y squared = 9 EndLayout?
Answers
Answer: Hope this helps <3
Step-by-step explanation:
Graphs can be used to represent functions.
See attachment for the graphs of \(\mathbf{x^2 + y = 2}\) and \(\mathbf{x^2 + y^2 = 9}\)
The functions are given as:
\(\mathbf{x^2 + y = 2}\)
\(\mathbf{x^2 + y^2 = 9}\)
Rewrite \(\mathbf{x^2 + y^2 = 9}\) as:
\(\mathbf{x^2 + y^2 = 3^2}\)
The above equation represents a circle of radius 3, and that has its center as the origin.
Similarly, we have:
\(\mathbf{x^2 + y = 2}\)
Make y the subject
\(\mathbf{y = 2 -x^2}\)
Rewrite as:
\(\mathbf{y = -x^2 + 2 }\)
The above is a square function, that is reflected over the y-axis, and then shifted up by 2 units.
See attachment for the graphs of \(\mathbf{x^2 + y = 2}\) and \(\mathbf{x^2 + y^2 = 9}\)
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Related Questions
The length of a rectangle is 2 ft more than twice the width. The area is 84 ft2. Find the length and width of the rectangle.
Lenght
Width
Answers
Answer:
let width=x
length = x + 2ft
Area = 82ft^2
Area= length×width
=(x+2)x
=x^2 +2x=82
x^2+2x-82=0
Use Quadratic Equation to get x.
x = -10.1(reject, length cannot be minus value or 8.11)
x = 8.11
width = 8.11ft
length = 10.11ft
A garden has only tomato and cucumber plants. There are 12 tomato plants and 5 cucumber plants.
What is the ratio of the number of cucumber plants to the total number of plants?
Enter your answer by filling in the boxes.
Answers
The ratio of cucumbers plants to total plants is: 5 cucumbers to 17 plants total
So It can be expressed as: 5/17 or 5:17
The ratio of cucumber plants to the total number of plants is 5:17.
What is the ratio?We can determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio. Ratios can be divided into two groups. One is the part-to-whole ratio, and the other is the part-to-part ratio. The link between two distinct entities or groupings is depicted by the part-to-part ratio.
Given the number of tomato plants = 12
number of cucumber plants = 5
total number of plants = 12 + 5 = 17
and the ratio of the number of cucumber plants to the total number of plants
= (number of cucumber plants)/(total number of plants)
= 5/17
the symbol of the ratio is ":"
= 5:17
Hence the ratio of the condition is 5:17.
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Calculate the monthly payment for a $2,500 loan at 9% annual interest for two years.
Answers
i used a loan calculator
Find an equivalent expression using the Distributive Property. 0.25(8r−4m)
Answers
Answer:
2r-m
Step-by-step explanation:
0.25(8r - 4m)= multiply the parentheses by o.25 then calculate 0.25x8r- 0.25x4m
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
−b4+2b2+35
Step-by-step explanation:
b2+5)(−b2+7)
=(b2)(−b2)+(b2)(7)+(5)(−b2)+(5)(7)
=−b4+7b2−5b2+35
Write as an algebraic expression of x that does not involve trigonometric functions.
Answers
Given:
\(\cos (\arcsin 3x+\arccos x)\)\(\text{Let A= arcsin3x ; B= arccosx}\)\(\sin A=3x\text{ ; }cosB=x\)\(\cos (A+B)=\cos A\cos B-\sin A\sin B\)\(\cos (A+B)=\cos A(x)-\sin B(3x)\)\(\cos (A+B)=\sqrt[]{1-\sin^2A}(x)-\sqrt[]{1-\cos^2B}(3x)\)\(\cos (A+B)=\sqrt[]{1-9x^2}(x)-\sqrt[]{1-x^2}(3x)\)\(\cos (A+B)=x\sqrt[]{1-9x^2}-3x\sqrt[]{1-x^2}\)Therefore, 1st option is the correct answer.
If mx*m7=m28 and (M5)y=m15 , what is the value of X+y
Answers
what does new thousand mean?
Answers
We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.
What is a thousand?A thousand is a number that denotes the sum of 1,000 units or ten hundreds.
The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."
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Two integers are relatively _________ if and only if their only common positive integer factor is 1.
Answers
Answer:
Two integers are relatively primes if and only if their only common positive integer factor is 1.
Step-by-step explanation:
The prime number is one whose only divisor is 1 and itself.
The prime factors of a whole number are the exact prime divisors of that whole number. In other words, every composite number can be written as a multiplication of two or more prime factors.
So, two integers are relative primes if they have no prime factor in common, or, put another way, if they have no common divisor other than 1.
So, two integers are relatively primes if and only if their only common positive integer factor is 1.
1. What's the fraction 18/24 reduced to its lowest terms?
A. 12
B.24 18
C.34
D. 1824
Answers
Answer:
answer is 3 upon 4
Step-by-step explanation:
because if we reduce 18/24 to its lowest term so first we have to reduce 18 to and then 24 --- 18 is factor of 9x2 and 24 is factor of 12x2 then we have to cut 2 in both and there is answer 9 upon 12 still it is reducing so 3x3 is 9 and 3x4 is 12 so now we have to cut 3 in both the answer is 3 upon 4
1. What is the surface area of the cone?
Answers
Answer:
A ≈ 297.33
Step-by-step explanation:
\(radius=5\)
\(height=13\)
Using the formulas:
\(A=\pi rl+\pi r^2\)
\(l=\sqrt{r^2+h^2}\)
Solving for A:
\(A=\pi r(r+\sqrt{h^2+r^2})=\pi *5*(5+\sqrt{13^2+5^2})\) ≈ \(297.32643\)
Therefore, the surface area of the cone is 297.33.
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To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
Answers
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answers
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
There are two words or phrases in this problem that tell you what operations will be in the algebraic expression. Choose the correct meaning for each.
Answers
Answer:I need to know what the phrases are.
Step-by-step explanation:
I can't answer this unless you do so.
On Monday, your bank account balance was -$12.79. Because you didn't realize this, you wrote a check for
$30.56 for groceries.
Answers
Explanation: -12.79 - 30.56 = -43.35
The marked price of a mobile set is Rs3500 and the shopkeeper allows of 10%discount? (I) find the amount of discount. (ii)How much should a customer pay for it after discount.
Answers
Step-by-step explanation:
3500 × 10/100
rs. 350 is the discount
and to find the amnt the customer should pay subtract 350 from 3500
which is,
3150 Rupees
A recipe calls for 2 tsp of oatmeal to make 7 protein bars.
How much oatmeal is needed to bake 27 protein bars?
A) 3 1/3 tsp
B) 9 tsp
C) 21 tsp
D) 81 tsp
Answers
Answer:
3 1/3 is the answer im pretty sure
what percent of 36 is 24?
Answers
Answer:
66.67
Step-by-step explanation:
Answer:
66.67
Step-by-step explanation:
24 / 36 x 100 is 66.67%
What is the slope and y-intercept of a line that passes through the points (2, - 5) and (4,
Answers
ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
Answers
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
I need help with Number 7 please!!!
Answers
Answer:
8.06 ft or \(\sqrt{65}\) ft
Step-by-step explanation:
Since Rebecca bought a square table and squares have equal sides, you can take the square root of the area of the table, which gives you \(\sqrt{65}\) ft per side. This can be approximated to 8.06 ft.
Mark me as the brainliest please I spent 25 hours working on this. Thank you very much little boo. You are so segsy. Go get some Bob pics from mother’s boyfriend. 8.06 under your di37 hole
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answers
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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ITS TIMED HELP ASAP PLES
What is the following product?
45
0 )
(2)
0 (-)
Answers
Answer:
Step-by-step explanation:
it's c
3^3 * 2^3*5
Factor rs + 6s + 6r + 36 by grouping.
Answers
Which of the fractions is equivalent to 2/5?
Answers
Answer:
4/10, 6/15, 8/20, 10/25
Step-by-step explanation:
29/24 rounded to the nearest hundred
Answers
Answer:
The answer to your problem is, 1.20
Step-by-step explanation:
First we need to convert our fraction to decimal which is:
1.2 EXACT.
We already know that it is in the tenths place shown: 1.2
We know that but how do you round it to the hundredths place?
Short answer: Cannot really since it is in the tenths place we can technically round it to, 1.20. Same fraction by the way.
Thus the answer to your problem is, 1.20
the quadratic curve crosses the x axis at 1,0 and 5,0 and the y intercept is 5. express this in the equation y = ax2 + bx + c
Answers
Answer:
y = x² - 6x + 5Step-by-step explanation:
As per question there are 3 points on the curve:
(1, 0), (5, 0) and (0, 5)Substitute the x- and y- values into equation and find the values of a, b and c.
x = 0, y = 5
5 = a*0² + b*0 + c5 = cc = 5x = 1, y = 0
0 = a*1² + b*1 + 5a + b = - 5 (1)x = 5, y = 0
0 = a*5² + b*5 + 525a + 5b = - 55a + b = - 1 (2)Subtract the equations 1 and 2:
5a - a + b - b = - 1 - (- 5)4a = 4a = 1Now find the value of b:
1 + b = - 5b = - 5 - 1b = - 6The equation of the curve is:
y = x² - 6x + 5
Which of the following scenarios describes a function represented by a table? Choose all that apply:
For any x-values that are the same, the y-values are the same
All y-values are different, some x-values are different
All x-values are the same, some y-values are different
For any x-values that are the same, the y-values are different
All x-values are different, some y values are different
All y-values are the same, some x values are different
Answers
The scenarios that describes a table that represents a function are:
A. For any x-values that are the same, the y values are the same
E. All x-values are different, some y-values are different
Note the following about a relation that is a function:
Each x-value (input) of a function has only one possible y-value (output) that corresponds to it.Two different x-values can have the same y-value.Two different y-values can't have the same x-value.An example of table representing a function is in the figure attached below. (see attachment).
In conclusion, the scenarios that describes a table that represents a function are:
A. For any x-values that are the same, the y values are the same
E. All x-values are different, some y- values are different
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3 1/2 inches so what is the area of this circle?
Answers
Answer:
19.6 in²
Step-by-step explanation:
area of circle = π r²
= π (3 1/2)²
= π (5/2)²
= π 25/4
= 22/7 x 25/4
= 275/14
=19.6 in²
alguien me podria ayudar?, por favor
