Answers
Answer:
For a function f(x), a vertical stretch of scale factor K is written as:
g(x) = k*f(x)
And for a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive, the translation is up
if N is negative, the translation is down.
1) We have the function:
y = f(x) = 5^(x - 2)
A vertical stretch of factor 3 will be:
y = g(x) = 3*f(x) = 3*(5)^(x - 2)
2) We have the function:
y = f(x) = 7.2^x
A translation up of 8 units will be written as:
y = g(x) = f(x) + 8 = 7.2^x + 8
Related Questions
GIVING 20 POINTS, HELP ASAP!! DUE IN 45 MIN!!!!!
Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The graph below represents what Health Club B charges.
Answers
The equation of line is solved and Health Club B costs $ 7 less in monthly membership fees that Health Club A
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 3 , 106 )
Let the second point be Q ( 6 , 187 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 187 - 106 ) / 3
Slope m = 27
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 106 = 27 ( x - 3 )
y - 106 = 27x - 81
Adding 106 on both sides , we get
y = 27x + 25 be equation (1)
Now , let the equation of line be represented as B
And , the value of B is
Let the first point be R ( 3 , 105 )
Let the second point be S ( 6 , 165 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 165 - 105 ) / 3
Slope m = 20
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 105 = 20 ( x - 3 )
y - 105 = 20x - 60
Adding 105 on both sides , we get
y = 20x + 45 be equation (2)
Now , when x = 1
Substitute the value of x = 1 in equation (1) and equation (2) , we get
y₁ = 27 + 25 = $ 52
y₂ = 20 + 45 = $ 65
So , health club B costs $ 7 less than health club A every month
Hence , the equation of lines is solved
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Paragraph One
He drives a racecar 80 miles per hour. He motivates audiences of hundreds. He's earned awards for his performance on and off the racetrack, and he's traveled the country to compete. Did we mention that he's 13 years old? One look at his accomplishments and it is easy to see that Noah "Little Gator" Cornman is on the fast track to success. "Little" might be a part of his nickname, but it does not describe his determination to succeed and his heart to make a difference for kids like him.
In paragraph 1, which sentence implies that the author is impressed with the teen's accomplishments?
He drives a racecar 80 miles per hour.
He motivates audiences of hundreds.
Did we mention that he's 13 years old?
He's traveled the country to compete.
Answers
Answer:
Did we mention that he's 13 years old?
Step-by-step explanation:
because he inspire alot of people by driving a racecar 80 mph that is fast for a kid at his age.
Answer:
Did we mention that he's 13 years old?
Step-by-step explanation:
Did this in middle school 1 year ago it right
what is x? (7x+1)=(9x-7)
Answers
Step-by-step explanation:
Given
7x + 1 = 9x - 7
9x - 7x = 1 + 7
2x = 8
x = 8 / 2
x = 4
Hope it will help :)❤
What is the area of the trapezoid?
Answers
Answer:
108
Step-by-step explanation:
b1+b2/2×h
so 12+15/2×8
12+15=27
27÷2=13.5
13.5×8=108
108 is the answer
If x+3/3 = y+2/2, then x/3 = ______
Answers
X-Y= 0
Hope this helped you
Write an equation of the line that passes through (1,2) and is parallel to the line y = -5x+4
Answers
Answer:
y =-5x + 7
Step-by-step explanation:
y = -5x + 4
Slope = -5
Parallel lines have same slope
Slope of the parallel line to this line = -5
(1 , 2)
y -y1 =m(x - x1)
y - 2 = -5(x - 1)
y -2 = -5x + 5
y = -5x + 5 + 2
y = -5x + 7
A cube has a side length of 4 feet. What is the volume of the cube?
48 ft3
64 ft3
96 ft3
12 ft3
Answers
Answer:
64 square ft^3
Step-by-step explanation:
If the side lengh is 3 then you would have 4^3 which is 64.
Answer:
64
Step-by-step explanation:
Please Help!!! I'll give brainliest
Answers
Mac Cosmetics sells a lip gloss for $15.50, but it only costs the company $6 to make it. What is the percentage markup on the lip gloss? Show all of your work and record your final answer in the space below.
Answers
Answer:
258 percent
Step-by-step explanation:
15.5/6 is 2.58, which is 258 percent
Please help me i really need it please
Answers
Answer:
1. 12 outcomes 2. 24 outcomes
Step-by-step explanation:
Three sides of a kite measure 8 inches, 10 inches, and 8 inches. What is the perimeter of the kite?
A 26 inches
B. 28 inches
C. 34 inches
D. 36 inches
Answers
Answer:
26
Step-by-step explanation:
8+10+8=26
The Perimeter of the Kite whose dimensions 8 in., 10 in. and 8 in. is 26 inches.
What is the Perimeter of Kite?
A kite has two pairs of equal size. Total distance around the outside is called the perimeter of a kite. This distance can be found by calculating the sum of the lengths of each pair.
Here, the perimeter of kite = a + b + c
= 8 + 10 + 8
= 26 inches.
Thus, the Perimeter of the Kite whose dimensions 8 in., 10 in. and 8 in. is 26 inches.
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Yoo Helpppp meee outt
Answers
Answer:
I going to go with B $2378.30
Answer:
I going to go with B $2378.30
Step-by-step explanation:
Maria has 64 flowers. She makes 8 bouquets with the flowers. How many bouquets of flowers will she have if she has 80 flowers?
Answers
Answer:
10 bouquet of flowers
Step-by-step explanation:
64÷8=8
80÷8=10
URGENT PLEASE !!!! Please answer correctly !!Will mark Brianliest !!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Square Root of 85
Mel has a net annual income of $53 246 after 21% of her income is C withdrawn for tax purposes. What was her gross income?
Answers
Answer:
$67400
Step-by-step explanation:
Given that :
Net income = 53246
Deduction (tax purposes) % = 21%
Gross income = net income + deduction
Let gross income = x
x = 53246 + 21% of x
x = 53246 + 0.21x
x - 0.21x = 53246
0.79x = 53246
x = 53246 / 0.79
x = 67400
12 NEED HELP ASAP WILL GIVE BRAINLY
Answers
Answer:
x = 4
8(4) - 2 = 30
15(4) = 60
All triangles equal 180 degrees and there is already a right angle. 60 plus 0 is 90, and 90 plus 90 (or 90 times 2) is 180
60 + 30 = 90
90 + 90 = 180
Step-by-step explanation:
Solve x2 - 10 = 0. If necessary, round to the nearest hundredth.
Answers
9514 1404 393
Answer:
3.16 or -3.16
Step-by-step explanation:
Add 10 and take the square root.
x^2 = 10
x = ±√10 ≈ ±3.16
x is 3.16 or -3.16
what's 5x-4y=-12 need help
Answers
PLS HELP ILL GIVE U BRAINLIST !!!!
Answers
tan^-1(opp/adj)
tan^-1(6/5)
=50.2 degrees!! :)
Tell me 5 things you have learned about scientific notation.... pls
Answers
Answer: 1) If the decimal is being moved to the right, the exponent is negative. 2) It’s it’s moved to the left, the exponent is positive.
Step-by-step explanation:
fnejfkenfejdb that’s all I know that is correct.
2y-4x=-18 slope intercept form
Answers
Answer:
y=−2x−9
Step-by-step explanation:
Solving Process:
1. Isolate y
2. Make coefficient of y equal 1
Steps:
1. (2y - 4x) / 2 = 18 / 2
2. y - 4x = 9
3. y = 4x + 9 <<<<
Good luck to you!
A restaurant has a total of 30 employees there are 14 who work in the evening and the rest work during the day what is the ratio of employees who work in the evening to employees who work during the day?
A: 7:8
B: 7:15
C: 8:7
D: 8:15
Answers
Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocelyn the correct solution.
Answers
Complete Question:
Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.
We need to check if 27² + 45² = 36² is a true statement. The left side of the equation is equal to 2,754. The right side of the equation is equal to 1,296. That means 272 + 452 = 362 is not true, and the triangle shown is not a right triangle
Answer/Step-by-step explanation:
Jocelyn used a wrong equation and statement.
Here's what she should have stated and done.
Using the converse of Pythagorean Theorem, which says that a triangle with sides a, b, and c is a right triangle if it satisfy the statement: a² + b² = c².
Where, c is the hypotenuse which is the longest leg. While a and b are the side lengths of the other two legs.
Therefore, in this case,
c = 45
b = 27
a = 36
Thus, what we need to check to be true would be:
36² + 27² = 45² (this is where Jocelyn made a mistake. Jocelyn wrote 27² + 45² = 36² rather)
Let's check if it's true.
2,025 = 2,025 (this is true)
Therefore, the triangle is a right triangle.
How do i find "40% is 80 of what number?"
Answers
Answer:
hhhsunf
Step-by-step explanation:
Look it up
PLEASE ANSWER WILL GIVE POINTS!!!!!!!!!!!!!!!!
Answers
(7)From the diagram
cos 34=y/37
y=37 × cos34
y=30.673 approximately 31
and x+y=52
therefore we have our x=21 and y=31
How to find the slope for (2,2) and (-1,2)
Answers
Answer:
Slope = 0
slope is the same as gradient, so you will use the formula
M = y2 - y1 / x2 - x1 in this case (2,2) and (-1.2)
the first 2,is x1.then the other 2 in the first coordinate is y1 , for the last coordinate -1 is x2 and 2 is y2, use the formula I gave you , you will see that the answer is 0
will mark brainliest and give 5/5
Answers
Answer:
last one i gussing
Step-by-step explanation:
Answer:
i feel like its b but im so sorry if im wrong
Step-by-step explanation:
who can help me with some math homework
Answers
Answer:
I can help you dude if any trouble (:
What is the next term of the geometric sequence?
48,-36,27....
Answers
Answer:
-15 is the next number in the sequence
The list price on a winter coat is $84. It is being sold at a 23% discount. What is the sale price of the coat?
A)$64.68
B)$61.32
C)$47.48
D)$22.68
Answers
Answer:
A) $64.68
Step-by-step explanation:
Note that 23% = 23/100 = 0.23
First, multiply $84 with 0.23:
84 x 0.23 = 19.32
Next, subtract 19.32 from the total cost:
84 - 19.32 = 64.68
A) $64.68 is your answer.
~
Answer:
A)$64.68
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