The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)?
A.
g(x) = 5^(7x)
B.
g(x) = 7(5^x)
C.
g(x) = 7^(5x)
D.
g(x) = 5(7^x)
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[tex]g(x) = 5( {7}^{x} )[/tex]
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The correct answer is (( D )) .
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The Graph transformation of [tex]f(x) = 7^x[/tex] which stretched vertically by a factor of five is [tex]g(x) = 5(7^x)[/tex] .
What is graph transformation?Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph .
According to the question
The graph of [tex]f(x) = 7^x[/tex] stretched vertically by a factor of five .
i.e
we have to make change is graph equation so y axis changes 5 times .
Therefore ,
[tex]f(x) =( 7^x ) * 5[/tex]
The Graph transformation of f(x) is
[tex]g(x) = 5(7^x)[/tex]
Hence, the Graph transformation of [tex]f(x) = 7^x[/tex] which stretched vertically by a factor of five is [tex]g(x) = 5(7^x)[/tex]
To know more about Graph transformation here:
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In chemistry class, Bob recorded the volume of a liquid as 17.7 mL. The actual volume was 17.1 mL. Use the formula to find percent error of Bob's measurement to the nearest tenth of a percent.
Percent Error =
|Experimental Value − Actual Value|
Actual Value
× 100
(HELP PLEASE!! answer all the questions) Mr. Smith decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the center, there is a window that is 5 34feet long.
Each president's picture is 6 inches wide.
If the pictures are placed side by side on either side of the window, how many pictures can he fit on this wall?
Answer the questions to solve this problem.
1. How many feet long is the space Mr. Thuman wants to fill with pictures? Explain how you know.
Write your answer in the space below.
2. Convert this length to inches. (There are 12 inches in 1 foot)
Write your answer in the space below.
3. How many pictures will Mr. Thuman use? Explain how you found your answer.
Write your answer in the space below.
4. How would your answer change if the pictures were 10 inches wide? Explain.
Write your answer in the space below.
9514 1404 393
Answer:
4.00 feet48 inches8 pictures4 picturesStep-by-step explanation:
1. The available wall space is the difference between the length of the wall and the length of the window:
9.75 ft - 5.75 ft = 4.00 feet
__
2. At 12 inches per foot, this is ...
(4 ft)(12 in/ft) = 48 in
__
3. If the pictures are 6 inches wide, Mr. Smith can use ...
(48 in)/(6 in/picture) = 8 pictures
__
4. If the pictures are 10 inches wide, Mr. Smith can use ...
(48 in)/(10 in/picture) = 4.8 pictures
There is room for 4 pictures. Space for a fraction of a picture is not useful. This number is even, so 4/2 = 2 pictures can be placed on either side of the window.
A pitcher can hold 5.2 liters of water. How many 0.4 liter glasses of water can be poured from the pitcher?
10
11
13
5
x2+ x -12x-pWhat value should be substituted for p for the expression to reduce to (x + 4) ?
Estimate the difference.
6.11 - 1.2
Answer:
5.9
Step-by-step explanation:
Answer:
it is 5.9
Step-by-step explanation:
y’all what is 1/7=1/7x-3
Answer:
x=22
Step-by-step explanation:
Megan's bank account is charged $9.95 per month for an online newspaper subscription how can you represent a change in her account balance after three months of charges
Answer:
T = C - (9.95 * 3)
Step-by-step explanation:
The account balance total can be calculated with the following equation where the variable T represents the final balance while the variable C represents her current balance before the three months...
T = C - (9.95 * 3)
The monthly charge is multiplied by the three months that Megan will be charged and then discounted from her current balance in order to give the new Total Balance after paying the subscription for the three months.
Help meeeeeeee!!!!!!!!!!’n
Answer:
A.
Step-by-step explanation:
Answer:
A. 5 adult tickets and 15 children tickets
Step-by-step explanation:
I will try to give the first one Brainlyest plz answer
Answer:
B
Step-by-step explanation:
when divided by 6 i am 200 when divided by 4 i am 200
Answer:
umm
Step-by-step explanation:
what? XD wdym
confusion...
ax = 2x + 5
please explain
Answer: -1.5x
Step-by-step explanation: Um, I think your explanation would be to subtract 5 on both sides which would be -3, and then divide by two on both sides which equals -1.5, and -1.5 equals A, and the final answer is -1.5x.
Hope it helps!!!!
if f(x)=3x-1 find f(2)
pls show steps I rlly need to understand this!
A bag contains 2 blue marbles, 3 green marbles, 1 white marble and 4 red marbles.
What is the probability of selecting a red marble? Your answer should be in simplified
form.
Answer:
2/5
Step-by-step explanation:
add all marbles together: 10 marbles
since only 4 are red, the fraction would be 4/10
4/10 can be simplified to 2/5
Answer:
1/45
Step-by-step explanation:
2/10 * 1/9 = 1/45
2/10= 2 red marbles and 10 marbles in total.
1. The table shows the relationship between y, the cost to rent a bicycle, and x, the amount of time the bicycle is rented in hours. Ab Bicycle Rental Costs Time, x (hours) Total Cost, y (dollars) 1 $10 2 $20 3 $30 Part 1: A student drew the following graph to represent this situation. Explain the error in the graph
1) The error in the graph should be that the time should be on x-axis and cost should be on y axis
Important information: The table shows the relationship between y, the cost to rent a bicycle, and x, the amount of time the bicycle is rented in hours.Information regarding graph:Here the error is that the time should be shown on the x-axis and the cost should be shown on the y-axis.Find out more information about the graph here:
https://brainly.com/question/14375099?referrer=searchResults
can y’all help i’m stuck i don’t understand
Answer:
C. x=2.5, DC=7.5, EC=15
Step-by-step explanation:
since the triangles have congruent angles, the sides have a relationship too. Basically, the ratio between the triangle is 4:10 because those sides math up. So, that also means it is 2:5. Therefore, BC:EC=6:15. 15-12.5=2.5, so x=2.5.
Now you can just do 2.5+5=7.5 so DC=7.5
The total for the two items (without tax) was $151.48. The price of the backpack was $65.49. What was the price of the calculator?
Answer:
The price of the calculator was $85.99
Step-by-step explanation:
Equation: 65.49 + x = 151.48 Subtract: x = 85.99Write the equation of the line that passes through the points (-6, -9) and
(7,7). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answer:
y - 7 = 16/13(x - 7)
General Formulas and Concepts:
Alg I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Point (-6, -9)
Point (7, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7+9}{7+6}[/tex]Add: [tex]m=\frac{16}{13}[/tex]Step 3: Write equation
y - 7 = 16/13(x - 7)
Justin is ordering 5 identical sandwiches and a bag of chips. The bag of chips cost $1.25 and the entire order costs $38.75. Which equation can be used to find the price of a sandwich, s?
Answer:
5S +1.25 = 38.75
Step-by-step explanation:
5 S = 5 sandwich cost
+ 1.25 = chip cost
answer of s is
S = 7.50
hi can somebody answer this rlly quickly
Answer:
11
Step-by-step explanation:
72/9=8 so 99/9=11
Which option correctly shows how this formula can be rearranged to isolate x^2?
Options in picture.
Answer:
A
Step-by-step explanation:
We have:
[tex]\displaystyle m=\frac{x_1-x_2}{y_1-y_2}[/tex]
And we want to isolate x₂.
So, let’s first remove the denominator by multiplying both sides by it:
[tex]\displaystyle m(y_1-y_2)=\frac{x_1-x_2}{y_1-y_2}(y_1-y_2)[/tex]
The right side will cancel. This will leave:
[tex]\displaystyle m(y_1-y_2)=x_1-x_2[/tex]
Now, we can subtract x₁ from both sides. So:
[tex]\displaystyle m(y_1-y_2)-x_1=-x_2[/tex]
Finally, we will multiply both sides by -1. So:
[tex]\displaystyle x_2=-m(y_1-y_2)+x_1[/tex]
Hence, our answer is A.
a) 3√ -1 =
b) 3√ 216 =
c) 3√ -0,008 =
d) 3√127=
e) 3√ -0,064 =
f) 3√ 338=
Answer:
you can download photo math to help you to solve this questions
Below are two parallel lines with a third line intersecting them
Answer:
Z is 66. If you want an explanation, I could give it to you, FYI.
Answer:
x=66°
Step-by-step explanation:
Solve for x:
If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:
∠1+∠2=180°
Substitute known values:
[tex]x+114=180[/tex]
Subtract 114 from both sides to isolate x:
[tex]x+114-114=180-114\\\\x=66[/tex]
The value of x is 66°.
:Done
it had to dell with Finding the Slope from Points
Answer:
Step One: Identify two points on the line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
Step Three: Use the slope equation to calculate slope.
Step-by-step explanation:
from google
Mr. Randall, a salesperson, earns a weekly salary of $300 plus a commission of 7% of
his weekly sales of merchandise. Last week, Mr. Randall earned $426. This can be
represented by the equation below, where s represents his total sales, in dollars, for
the week.
$300 + $0.07s = $426
How many dollars worth of merchandise did Mr. Randall sell last week?
Answer:
-3
Step-by-step explanation:
Based on his weekly salary and commission, we can calculate that Mr. Randall sold goods worth $1,800.
In the formula given, sales is represented as s. To find the total sales, you can solve the equation:
300 + 0.07s = 426
0.07s = 426 - 300
s = 126 / 0.07
= $1,800
In conclusion, Mr. Randall sold $1,800 worth of goods.
Find out more at https://brainly.com/question/19297414.
What is the value of X
Answer:
x=6
Step-by-step explanation:
1) you set 16x+9 equal to 105
2) then you solve! 16x+9=105 --> 16x=105-9 --> 16x=96 --> x=96/16 --> x=6
Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
X+123°=180°(BEING DUM OF CO INTEROIOR ANGLES IS EQUAL TO 180°)
X=180°-123°
X=57°
Hi!
x = 57 degrees.
Explanation:
There is a straight line, so that must mean there is a linear pair. We know the first part of that pair is 123 degrees. The linear pair adds up to 180 degrees. Subtract 123 from 180 to get 57.
That angle and x are alternate interior angles, so they are equivalent.
complete the missing value in the solutuion to the equation
Answer:
Step-by-step explanation:
5x-2y=30
Given x=8
5×8-2y=30
-2y=30-40
y=5
Please help :)Please help :)Please help :)
Answer:
the first one is correct
Step-by-step explanation:
I need help with another one! Thankyou guys this means alot to me
Answer:
9.5 = y
Step-by-step explanation:
You have to use the cosine function equation.
cos(38) = [tex]\frac{y}{12}[/tex]
Multiply 12 on both sides.
12cos(38) = y
Solve.
9.46 = y
Answer:
9.5
Step-by-step explanation:
y is the adjacent side of the given 38 degree angle. You are given the hypotenuse of right angle triangle. So the trig function that you need to use is the Cosine
Cos(38) = y / 12
multiply both sides by 12
12*cos(38) = 12*y/12
12*cos(38) = y
12*0.7880= y
y =9.456