Any amortizing CPM may was obtained by the borrower for 125,000 at 6% interest for ten years.
a. Monthly payment for a 10-year loan: $1,389.35
b. Monthly payment for a 30-year loan: $749.92. Longer term leads to lower monthly payments but higher total interest.
To calculate the monthly payment on an amortizing loan, we can use the loan amount, interest rate, and loan term in the formula for calculating the monthly payment on an amortizing loan.
a. Monthly Payment Calculation for a 10-year loan:
Loan amount: $125,000
Interest rate: 6% per annum (or 0.06 as a decimal)
Loan term: 10 years (or 120 months)
The formula to calculate the monthly payment is:
\(\text{{Monthly Payment}} = \frac{{P \cdot r \cdot (1 + r)^n}}{{(1 + r)^n - 1}}\)
Where:
P is the loan amount
r is the monthly interest rate
n is the total number of monthly payments
Plugging in the values, we have:
P = $125,000
\(r = \frac{0.06}{12}\) (since it's a monthly rate)
n = 10 * 12 (since the loan term is in years and we need the total number of months)
Calculating the expression:
\(\text{Monthly Payment} = \$125,000 \times \frac{0.06}{12} \times \left(1 + \frac{0.06}{12}\right)^{10 \times 12} \div \left(\left(1 + \frac{0.06}{12}\right)^{10 \times 12} - 1\right)\)
The monthly payment for a 10-year loan will be the result of this calculation.
b. Monthly Payment Calculation for a 30-year loan:
Loan amount: $125,000
Interest rate: 6% per annum (or 0.06 as a decimal)
Loan term: 30 years (or 360 months)
Using the same formula as above with the updated loan term, we can calculate the monthly payment:
P = $125,000
\(r = \frac{0.06}{12}\) (since it's a monthly rate)
n = 30 * 12 (since the loan term is in years and we need the total number of months)
Calculating the expression:
\(\begin{equation}\text{Monthly Payment} = \$125,000 \times \frac{0.06}{12} \times \left(1 + \frac{0.06}{12}\right)^{30 \times 12} \div \left(\left(1 + \frac{0.06}{12}\right)^{30 \times 12} - 1\right)\end{equation}\)
The monthly payment for a 30-year loan will be the result of this calculation.
c. The difference in payments between a 10-year loan and a 30-year loan is primarily due to the longer loan term. With a 30-year loan, the payments are spread out over a longer period, resulting in smaller monthly payments compared to a 10-year loan. However, because the loan term is longer, the borrower will end up paying more in total interest over the life of the loan.
This is because the interest is accumulated over a longer period, even though the interest rate remains the same. So, while the monthly payment for a 30-year loan is lower, the total interest paid will be higher compared to a 10-year loan.
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How are the original coordinates related to the coordinates after the translation?
Answer:
When you perform translations, you slide a figure left or right, up or down. This means that on the coordinate plane, the coordinates for the vertices of the figure will change.
To graph a translation, perform the same change for each point.
You can identify a reflection by the changes in its coordinates. In a reflection, the figure flips across a line to make a mirror image of itself. Take a look at the reflection below.
Figures are usually reflected across either the
x−
or the
y−
axis. In this case, the figure is reflected across the
y−
axis. If you compare the figures in the first example vertex by vertex, you see that the
x−
coordinates change but the
y−
coordinates stay the same. This is because the reflection happens from left to right across the
y−
axis. When you reflect across the
x−
axis, the
y−
coordinates change and the
x−
coordinates stay the same. Take a look at this example.
In the figure above the coordinates for the upper-left vertex of the original figure are (-5, 5). After you reflect it across the
x−
axis, the coordinates for the corresponding vertex are (-5, -5). How about the lower-right vertex? It starts out at (-1, 1), and after the flip it is at (-1, -1). As you can see, the
x−
coordinates stay the same while the
y−
coordinates change. In fact, the
y−
coordinates all become the opposite integers of the original
y−
coordinates. This indicates that this is a vertical (up/down) reflection or a reflection over the
x−
axis.
In a horizontal (left/right) reflection or a reflection over the
y−
axis, the
x−
coordinates would become integer opposites. Let’s look at an example.
This is a reflection across the
y−
axis. Compare the points. Notice that the
y−
coordinates stay the same. The
x−
coordinates become the integer opposites of the original
x−
coordinates. Look at the top point of the triangle, for example. The coordinates of the original point are (-4, 6), and the coordinates of the new point are (4, 6). The
x−
coordinate has switched from -4 to 4.
You can recognize reflections by these changes to the
x−
and
y−
coordinates. If you reflect across the
x−
axis, the
y−
coordinates will become opposite. If you reflect across the
y−
axis, the
x−
coordinates will become opposite.
You can also use this information to graph reflections. To graph a reflection, you need to decide whether the reflection will be across the
x−
axis or the
y−
axis, and then change either the
x−
or
y−
coordinates.
The new coordinates form an equation with the original coordinate and the units of translation.
What is Transformation?Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.
Rotation is a type of transformation of an object on an x-y plane, when an object is turned clockwise or anticlockwise by a certain angle, the object is said to be rotated.
The coordinate (x,y) changes to ( y, -x).
Reflection is to create a mirror image of the coordinate or the figure.
Dilation is to compress or enlarge the image by a scale factor.
The translation is to shift the coordinate or the figure, to the left, right, up, or down.
Let the original coordinates be ( x, y)
Then if the coordinates are translated by 2 units to the right and 2 units up, the new coordinates are:
( x+2, y+2)
The new coordinates are = Original coordinates ± Translation units.
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what is the volume of the solid generated when the region in the first quadrant bounded by the graph of y=x3, the y-axis, and the horizontal line y=1 is revolved about the y-axis?
The volume of the solid is 4/5π.
The volume of a solid generated by revolving a region around a line is given by V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region, respectively, and y is a function of x.
In this case, the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Therefore, the volume of the solid generated when the region is revolved about the y-axis is given by
V = ∫0 1 π(y)2dy
= ∫0 1 πx6dx
= π/7
= 4/5π
The volume of the solid is calculated using the formula V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region and y is a function of x. In this case, the lower limit is a=0 and the upper limit is b=1, since the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Integrating from a=0 to b=1 gives the volume of the solid as V = ∫0 1 πx6dx = π/7 = 4/5π.
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When a number x is multiplied by 6, the result is 38.
What is the value of x?
Drag and drop the correct number into the box so that the equation is true.
3/8
8/3
1/16
9/4
16
4/9
help me plz it is 10 pts
Answer:
8/3
Step-by-step explanation:
i took the quiz
Answer:
6⅓ The answer is not in the options..
Step-by-step explanation:
6x = 38
x = 38÷6
x = 6 ⅓ / 6.33333..
The height of a trapezoid is 4 in. And its area is 48 in 2. One base of the trapezoid is 6 inches longer than the other base. What are the length of the bases? Complete the explanation on how you found your answer
Answer:
9 inches and 15 inches
Step-by-step explanation:
The height of a trapezoid is 4 in.
Its area is 48 in^2.
Let a be one base and b be the second base.
One base is 6 inches longer than the other. This implies that:
a = 6 + b _________ (1)
The formula for the area of a trapezoid is given as:
\(A = \frac{1}{2}(a + b)h\)
where h = height
From (1), we have that:
\(A = \frac{1}{2}(6 + b + b )h\\ \\A = \frac{1}{2}(6 + 2b )h\)
We have that h = 4 and A = 48 in^2, therefore:
\(48 = \frac {1}{2}(6 + 2b) * 4\\ \\96 = 24 + 8b\\\\8b = 96 - 24 = 72\\\\b = 72 / 8 = 9 in\)
=> a = 6 + 9 = 15 in
The bases are 9 inches and 15 inches long.
The power reducing formula for cos(θ) is cos 2
(θ)= 2
1+cos(2θ)
(a) Verify this identity when x= 6
7π
. (b) Plot f=cos 2
(x)− 2
1+cos(2x)
on the indicated domain. Since this is a trigonometric identity, f(x) should be 0 for all x. If you do not get y=0, explain why.
The given identity is not true for all values of \(`x`\).
To verify the given identity when \(`x = 6π/7`\), substitute the value of \(`x`\) in the given identity.
So,
\(`cos2(x) = cos2(6π/7)`\\ `cos(2x) = cos(2 × 6π/7) \\\\ cos(12π/7)`\\Now, \\`cos(12π/7) = cos(7π − 5π/7) \\ − cos(5π/7)`\)
Using the power reducing formula,
\(`cos2(θ) = 2(1 + cos(2θ)\\ = 1 + cos(2θ)`\\So, \\`cos2(6π/7) = 1 + cos(2 × 6π/7)\\ = 1 + cos(12π/7) \\= 1 − cos(5π/7)`.\)
Hence, the given identity is verified when \(`x = 6π/7`\).
(b) Now, we need to plot the graph of \(`f(x) = cos2(x) − 2/(1 + cos(2x))`\) on the indicated domain. The given identity states that \(`f(x)`\) should be 0 for all values of \(`x`\).
We can substitute a few values of \(`x` $ in `f(x)`\) and check if we get \(`0`\) or not. If we get \(`0`\), then we can conclude that the identity holds true for all values of \(`x`\).
However, it may be possible that we don't get \(`0`\) for some value of \(`x`\) because the function \(`f(x)`\) is undefined for some values of \(`x`\) (because of the denominator
\(`1 + cos(2x)`).\)
Therefore, we need to check the domain of the given function first. The denominator \(`1 + cos(2x)`\) should not be equal to \(`0`\).
Therefore, \(`cos(2x) ≠ −1`or `2x ≠ π`or `x ≠ π/2`\)
So, the domain of \(`f(x)` is `R − {π/2}`\).
Now, we can check a few values of \(`x`\) to see if \(`f(x)`\) is \(`0`\) or not. If it is not \(`0`\), then we need to explain why it is not \(`0`\).
Let's check \(`x = 0`.\\`f(0) = cos2(0) − 2/(1 + cos(2 × 0))\\ = 1 − 2/(1 + 1) \\= 1/2 ≠ 0`\)
Let's check \(`x = π/4`.\\`f(π/4) = cos2(π/4) − 2/(1 + cos(2 × π/4))\\ = (1/2)2 − 2/(1 + 0) \\= 1/2 − 2 \\= −3/2 ≠ 0`\)
We can also see that the graph of \(`f(x)`\) is not symmetric about the y-axis. Therefore, the identity does not hold true for all values of \(`x`\).
Hence, the given identity is not true for all values of \(`x`\).
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What’s the answer to this? You’ll. Get 20 points for this.
Can someone help pleaseee
Answer:
\(P(blue)=\frac{5}{24} \\ P(yellow)=\frac{7}{24} \\ P(blue \: \cup \: yellow)=\frac{5 + 7}{24} = \frac{12}{24} \\ P(blue \: \cup \: yellow)= \frac{1}{2} \)
Answer:
4/8
Step-by-step explanation:
Can you guys help me with this, it's due today
Answer:
i think its D
Step-by-step explanation:
Find the measure of 1 can someone plz help
Answer:
4. 120
5. 20
6. 55
Step-by-step explanation:
All straight lines have a degree of 180, so the angle measures all have to add up to 180 degrees.
Answer:
4) 120°
5) 20°
6) 55°
Step-by-step explanation:
4) 180°-60°=120°
5) 180°-160°=20°
6) 90°+35 = 125°
180°-125°=55°
X
0
1
2
3
4
g(x)
---3
--1
1
3
What is the slope of the f function?
What is the slope of the g ?
What function has the greater slope ?
Answer:
doh as djdjndjejehehdhdhdhdhehenejenenejenejenenenejrenenenenenenenenennenejeuehenejeiebenrkrbrndornrjebeydhrjjrhrhrhrb4hrhrhr
Step-by-step explanation:
rhdhdhuridnfhdjjdjfkf
List two things you already know about checking accounts and list two things you want to learn about checking accounts.
I swear to god if someone posts some "The answer is in this link" or something else like that I will cry PLS stop answering my posts with that
Answer:
What I know -Identity and fraud
What I want to learn- Savings and Withdraw
Step-by-step explanation:
Don't worry i'm not to type of person to post links , I don't believe that's helpful.I think that would be a waste of time and all.
Anyone wanna help me
Answer:
w^2 -18w + 81
Step-by-step explanation:
Simply, what we have to do here is to divide the coefficient of w by 2, then square it
we have this as -18/2 = -9
Squaring is -9^2 = 81
Write an expression that represents the perimeter of a regular hexagon if EACH SIDE is (3x-4)?
The expression that represents the perimeter of a regular hexagon is
18x - 24
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
Regular hexagon has all the sides equal in length and it has 6 sides
Perimeter is sum of all sides
Thus,
perimeter of a regular hexagon
= 6* side length
= 6 (3x-4)
Distribute 6
= 18x - 24
The expression that represents the perimeter of a regular hexagon is
18x - 24
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Complete Question:
Write an expression that represents the perimeter of a regular hexagon if each side is (3x-4).
Name each angle in 3 different ways.
Answer: Angle 1, Angle UFO, or Angle UOF.
Angle 2, Angle UOR, or Angle ROU.
Step-by-step explanation:
These are all of the ways you can name each angle.
a used car lot has all vehicles on sale at a 15% discount. Which expression can be used to find the sale price of a vehicle with an original price of p dollars?
The expression that can be used to find the sale price of a vehicle with an original price of p dollars is 085p.
How to calculate the price?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In this case, the expression that can be used to find the sale price of a vehicle with an original price of p dollars will be:
= p - (15% × p)
= p - 0.15p.
= 0.85p
The expression is 0.85p.
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can someone answer page 3 question 3, page 5 question 3, all of page 6
The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7
What is trigonometrical ratios?Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle. There are three common trigonometric ratios: sine, cosine, and tangent
For page 3 question 3,
a) <A + <B = 90 since <C = right angle
b) SinA = BC/AB and CosB = BC/AB
The ratio of the two angles BC/AB ÷ BC/AB = 1
I notice that the ratio of sinA and cosB gives 1
b) The ratio of CosA and SinB will give
BC/AB ÷ BC/AB
= BC/AB * AB/BC = 1
For page 5 number 3
Tan28 = g/i
g/12.2 = tan28
cross multiplying to have
g = 12.2*tan28
g = 12.2 * 0.5317
g = 6.5
b) the angle I is given as 90-28 degrees
<I = 62 degrees
To find the side h we use the Pythagoras theorem
h² = (12.2)² + (6.5)²
h² = 148.84 +42.25
h²= 191.09
h=√191.09
h= 13.8
For page 6
1) Sin42 = x/18
x=18*sin42
x = 18*0.6691
x = 12.0
2) cos28 = 6/x
xcos28 = 6
x = 6/cos28
x [= 6/0.8829
x = 6.8
3) Tan63 = x/34
x = 34*tan63
x= 34*1.9526
x = 66.4
4) Sin50 123/x
xsin50 = 123
x = 123/sin50
x = 123/0.7660
x =160.6
5) Sin57 = P/8
Pole = 8sin57
the pole = 8*0.8387
The pole = 6.7
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You and your friends plan to attend the county fair this weekend. The admission to the fair is $5 and the cost per ride is 50c. if your parents gave yo $20, write and solve a linear equation to find how many rides you can go on. slope-intercept form
Answer:
Inequality: 5 × .50r ≤ 20
r* ≤ 8
You most rides you can go on is 8 rides.
Inequality in slope intercept: y = 2.5 ≤ 20r + 0
*r = rides
Plz mark brainleist:)
There are 30 rides attend in the county fair this weekend.
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The admission to the fair is $5 and the cost per ride is 50c. if your parents gave yo $20.
Let number of rides in the fair = x
So, We can formulate;
⇒ $5 + $0.50x = $20
⇒ 5 + 0.50x = 20
⇒ 0.50x = 20 - 5
⇒ 0.50x = 15
⇒ x = 15/0.50
⇒ x = 30
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In ΔVWX, w = 680 inches, m∠X=15° and m∠V=116°. Find the length of W, to the nearest 10th of an inch
Answer:
W = 680 in
Step-by-step explanation:
You want the length of side w in ∆VWX, where w = 680 in, X = 15°, and V = 116°.
ReadingAs written, this seems to be a problem in reading comprehension. You are asked for one of the values that is given in the problem statement:
W = 680 inches
__
Additional comment
The attachment shows the solution of the triangle. In this, we have used ∆ABC ≅ ∆VWX.
¿Cuánto es 50% de 9 000?
Answer:
4 500
Step-by-step explanation:
Paso 1: Suponemos que 9000 es 100% ya que es nuestro valor de salida.
Paso 2: A continuación, representamos el valor que buscamos con $ x $.
Paso 3: Del paso 1, se deduce que $ 100 \% = 9000 $.
Paso 4: En la misma línea, $ x \% = 50 $.
Paso 5: Esto nos da un par de ecuaciones simples:
4 500
I need help understanding what I did wrong in these questions
Step 1
Draw parallel lines cross by a transversal.
1.
<8 and <4 Alternate Exterior Angles
2.
<2 and <5 Supplementary Angles
3.
<2 and <6 Alternate Interior Angles
4.
<1 and <2 Supplementary Angles
5.
<7 and <5 Corresponding Angles
6.
<6 and <8 Vertical Angles
what is the slope of this graph
Answer:
-4
Step-by-step explanation:
Slope is -4.
Because 0-6 / 3-1
-6 / 2 = -4
Answer:
here is your answer: the line is your rise over run. not what you wanted? if so.. the answer to the question is the change in x and in y
Step-by-step explanation:
anybody know this :( please help
Answer:
the set of all the real values which are strictly greater than zero which is all positive real numbers
Step-by-step explanation:
In interval notation: (0, ∞)
Any exponential function with a positive base and positive multiplier will have a horizontal asymptote at y=0 and will extend to +∞. That's what this one does.
Range of a function--
The range of a function is the set of all the values that are attained by a function.
We are asked to find the range of the function f(x)
the set of all the real values which are strictly greater than zero
x > 0
please mark me brainliest :)
the reflectance curve is a plot of the light reflected off a surface as a function of _____.
Answer: wavelength or frequency
Step-by-step explanation:
The reflectance curve is a plot of the light reflected off a surface as a function of wavelength or frequency. It shows how much light is reflected at each specific wavelength or frequency and can be used to analyze the optical properties of a material.
A random sample of 120 students at a certain high school was asked if they spend more than 4 hours a night on homework. Assume the true proportion of students that spend more than 4 hours a night on homework is 15%, which of the following is closest to the probability that more than 25 students in a sample of 120 students would respond that they spend more than 4 hours a night on homework? * 0.9632 O 0.0368 0.3236 0.6764 None of these
The probability that more than 25 students in a sample of 120 students would respond that they spend more than 4 hours a night on homework is given as follows:
0.0367 = 3.67%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).The estimate and the sample size for this problem are given as follows:
p = 0.15, n = 120.
Hence the standard error is of:
s = sqrt(0.15 x 0.85/120)
s = 0.0326.
More than 25 students is a sample proportion above 25/120 = 0.2083, hence the probability is one subtracted by the p-value of Z when X = 0.2083, hence:
Z = (0.2083 - 0.15)/0.0326
Z = 1.79
Z = 1.79 has a p-value of 0.9633.
Hence:
1 - 0.9633 = 0.0367 = 3.67%.
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Point B' is the image of point B after a reflection in a line. Write an equation of the line.
B(2,4), B'(6, - 4)
Equation:
The line has a -2 slope and a 0 intercept. The line's equation is y = -2x.
What is en equation?
Two expressions joined by the equals symbol ("=") form an equation. [2] The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero. Providing the generality is not diminished, this can be achieved by deducting the right-hand side from both sides.The most frequent kind of equation has two polynomial sides, and is known as a polynomial equation or algebraic equation. A polynomial equation has one or more terms on each of its sides. For instance, the formulaAx2 + Bx + C y= 0Formula for Lines
The slope and y-intercept of the equation must be determined in order to determine the line's equation.The formula for calculating a line's slope isThe line has a slope of 2, which.Let's determine the line's intercept;The equation's line is denoted byTo determine c, we can choose point A and substitute its values.The line's equation is y = -2x.Learn more on equation of a line here;
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The ________ sum of squares measures the variability of the sample treatment means around the
overall mean.
a. treatment
b. error
c. interaction
d. total
Answer:
treatment
Step-by-step explanation:
hope this helps, I did OSM 202 MC , as well.
The TREATMENT sum of squares measures the variability of the sample treatment means around the overall mean.
The sum of squares is used to measure the variation about the mean, In ANOVA we have:
• Sum of square Error : measures the variation between each observation in a group and the mean of that group.
• Sum of square treatment : measures the variation between the mean of each group and the overall mean.
• Total Sum of Square : measures the variation between each observation and the overall sample mean.
Hence, Treatment sum of squares measures variation between sample treatment and overall sample mean.
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Write the ratio as a fraction in lowest terms. (3.4)/(2.2)
The ratio 3.4/2.2 can be expressed as a fraction in lowest terms as 17/11.
To find the fraction in lowest terms, we need to simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 17 and 11 is 1, as there are no common factors other than 1. Dividing 17 and 11 by 1 gives us the fraction 17/11, which is already in its simplest form.
In the given ratio 3.4/2.2, the numerator is 3.4 and the denominator is 2.2. To convert it into a fraction, we can express both the numerator and denominator as whole numbers by multiplying them by a power of 10. In this case, we multiply both 3.4 and 2.2 by 10 to get 34 and 22, respectively. The ratio then becomes 34/22. To simplify this fraction, we find the greatest common divisor of 34 and 22, which is 2. Dividing both the numerator and denominator by 2 gives us the fraction 17/11, which is the simplest form of the ratio.
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Find the equation of the line pecified. The lope i 7, and it pae through ( 8, 6). A. Y = 7x - 50
b. Y = 14x - 50
c. Y= 7x 6
d. Y = 7x 62
That the equation of the line is y = 7x - 50.
The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).
In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.
Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).
Simplifying, we find that the equation of the line is y = 7x - 50.
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Please help me with this homework
Answer:
you should scan it its easy
Function g can be thought of as a scaled version of f(x) = x².
f
-5 -4 -3
Y
5.
4+
3.
2-
1
234
-4+
-5
Write the equation for g(x).
g(x) =
345
(2,-1)
B
Answer:
g(x) = -1/4x²
Step-by-step explanation:
Given f(x) = x² and point (2, -1) on the graph of g(x), which is a scaled version of f(x), you want the equation for g(x).
Scale factorThe scale factor k will satisfy ...
g(x) = k·f(x)
g(2) = k·f(2) . . . . . . true at the given point
-1 = k·2² = 4k . . . . use the coordinates of the given point
k = -1/4 . . . . . . . . . divide by 4
The equation of g(x) is ...
g(x) = -1/4x²