If you vertically stretch the exponential function f(x)= 2^x by the factor of 4, what is the equation of the new function

Answers

Answer 1

Answer:

to vertically strech a function by a factor of c, multiply the whole function by c

so

f(x) vertically streched by a factor of 4 is 4f(x)

so we get

the new function is f(x)=4(2)ˣ

Step-by-step explanation:


Related Questions

Convert 3 days into weeks. Round your answer to the nearest hundredth.

Answers

Answer:

0.43 weeks

Step-by-step explanation:

There are 7 days in 1 week , then

3 days = [tex]\frac{3}{7}[/tex] week ≈ 0.43 week ( to the nearest hundredth )

A set of Numbers is shown below.

Answers

Answer: A

Step-by-step explanation:

The equation of a line in the point-slope form is show below. 4 – 9 = (x – 2) What is the slope of this line?​

Answers

Answer:

undefined

Step-by-step explanation:

4 - 9 = x - 2

-5 = x - 2

-3 = x

this is a vertical line (parallel to the y-axis) at x = -3.

that means the slope of this line is "undefined". or some would call it "infinite".

as the slope is the ratio of y/x describing how many units y changes, when x changes a certain amount of units.

now the change of x for this line is constant 0.

so, we have a slope y/0, which is undefined.

2 (1 - x) + 5 > 3 (2 x 1)

Answers

Answer:

I think that it might be (−∞,1/2)

hope it was any help ^^

Please help will mark the Brainlyst

Answers

Answer:

don't u just add the side lengths and then get the answer?

The first person to answer this correctly gets Branilist!

Answers

Step-by-step explanation:

1)8x-2x=35-17

6x=18

x=18/6

x=3

2)7k-2k=-37-8

5k=-45

k=-45/5

k=-9

3)m-9m=-13-3

-8m=-16

8m=16

m=16/8

m=2

4)-4y+3y=12-6

-y=6

y=-6

5)6a-2a=-40

4a=-40

a=-40/4

a=-10

6)5w+2w=55+29

7w=84

w=84/7

w=12

7)5p-13p=-43+11

-8p=-32

8p=32

p=32/8

p=4

8)-c-5c=-2+50

-6c=48

c=-48/6

c=-8

Hi guy.

8x+17= 2x+35
-2x + 8x = -17 + 35
6x = 18
x = *3*


7k+8 = 2k-37
-2k + 7k = -8+-37
5k = -45
K = *-9*


m+3 = 9m-13
-9m + m = 13+3
-8m = 16
m = *-2*

-4y+6 = -3y+12
-4y + 3y = -6 + 12
-y = 6
y = *-6*

6a+40 = 2a
-2a + 6a = 40
4a = 40
a = *10*

5w-29 = 55-2w
2w + 5w = 29 + 55
7w = 84
w = *12*

5p-11 = 13p-43
-13p +5p = 11+43
-8p = 56
p= -7*

-50-c = 5c-2
+c + 5c = 2+-50
6c= -48

C = -8


I hope I can help. By the way I'm from turkey ❤️

1458 smallest whole number by which it should be multiplied so as to get a perfect square number.also find the square root of the square number obtained

Answers

9514 1404 393

Answer:

254

Step-by-step explanation:

The prime factorization of 1458 is ...

  1458 = 2·3^6

The exponent of 3 is even, but we need another factor of 2 to make the exponent of that factor even. You will get a perfect square by multiplying by 2.

  √(2·1458) = √2916 = 54

Multiplying by 2 will give the square of 54.

A farmer has 1,217 pounds of
vegetables. After selling some
vegetables to a restaurant, he has
843 pounds left. Then he sells 326
pounds of vegetables at the
farmer's market. How many pounds
of vegetables does he sell in all?

Answers

1217-843 = 374 (how much he sold to restaurant)

374 + 326 = 700 pounds sold total

find the complement of the B in universe U. U is the set of natural numbers less than or equal to 8. B is the set of even factors of 8.

Answers

Answer:

{1,3,5,6,7,8}

Step-by-step explanation:

U={1,2,3,4,5,6,7,8}

B={2,4}

B is even factors so you won't start with one

The complement of set B will be {1, 3, 5, 6, 7}

A set is an arrangement or collection of numbers. Given the universal sets:

Natural numbers are positive integers starting from 1. Hence the universal set will be:

U = {1, 2, 3, 4, 5, 6, 7, 8}

Factors of 8 are 1, 2, 4 and 8

Set of even factors of 8 will be 2, 4 and 8

B = {2, 4, 8}

Compliment of a set B are sets that are in the universal set but not in set B. Hence the complement of B will be {1, 3, 5, 6, 7}

Learn more here: https://brainly.com/question/18203375

can someone help me with this ?

Answers

Answer:

The answer is 14.28cm

I need help please…thank youuu!!!

Answers

Answer:

I will help ukshagaakavlabsbakakahsjskmdlslsbsbs skshsvs

What is the solution to this system of equations using the linear combination method?

Please help!!

Answers

Answer:

x= -3, y= 13

Step-by-step explanation:

The idea is that x and y in both equations are the same numbers and that the equations are like rules that need to be followed both in the same time.

We take the y from one equation and use it in the other equation because is the same y .

3x+y =4 , subtract 3x from both sides

y=  -3x+4

2x+y =7 , substitute y with the y = -3x+4 from the first equation

2x -3x+4 = 7, subtract 4 from both sides

2x-3x = 7-4, combine like terms

-x = 3  so x = -3

We know that x= -3 so we can substitute it in y= -3x+4 to find y

y=  -3x+4

y= -3 (-3) +4

y= 9+4 = 13

y= 13

What statement is true about these two triangles?

Answers

Answer:

Step-by-step explanation:

c

Solve the given equation by completing the square.

x^2 + 8x = 38

Fill in the values of a, b, and cto complete the solutions.

Answers

Answer:

Step-by-step explanation:

[tex]x^2+8x=38\\\\x^2+8x-38=0\\\\\Delta=8^2+4*38=216=6^3\\\\x=\dfrac{-8-6\sqrt{6} }{2} \ or\ x=\dfrac{-8+6\sqrt{6} }{2}\\\\x=-4-3\sqrt{6} \ or\ x=-4+3\sqrt{6}\\\\a=-4\\b=3\\c=6\\[/tex]

Expand and simplify 5)3x+2)-2(4x-1)

Answers

Answer:

It is 7x + 12

Step-by-step explanation:

[tex]5(3x + 2) - 2(4x - 1)[/tex]

open brackets:

[tex] = 15x + 10 - 8x + 2[/tex]

group like terms together:

[tex] = (15x - 8x) + (10 + 2)[/tex]

factorise out x :

[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]

w(x) = x2 + 1; Find w(x + 3)

Answers

Given the function w:

[tex] \displaystyle \large{w(x) = {x}^{2} + 1 }[/tex]

Since we want to find w(x+3), the input would be x+3.

Substitute x = x+3 in.

[tex] \displaystyle \large{w(x + 3) = {(x + 3)}^{2} + 1 }[/tex]

Alternate Solution

The answer above works if you want it in vertex form. For this alternate solution, I will convert the function in standard form.

As we know:

[tex] \displaystyle \large{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} }[/tex]

Therefore:

[tex] \displaystyle \large{ {(x + 3)}^{2} = {x}^{2} + 2(x)(3) + {3}^{2} } \\ \displaystyle \large{ {(x + 3)}^{2} = {x}^{2} + 6x+ 9}[/tex]

Now for function w:

[tex] \displaystyle \large{w(x + 3) = {x}^{2} + 6x + 9+ 1 } \\ \displaystyle \large{w(x + 3) = {x}^{2} + 6x + 10}[/tex]

Hence:

The answer is w(x+3) = (x+3)^2+1 for vertex formOR w(x+3) = x^2+6x+10

Plz answer this is very important

Answers

P=2₶R
P=2*3.14*19cm = 119.38cm
Circumference of a circle=2πr
2×π×19=38π≈119.38≈119.4
Hope my answer helped u :)

If mZEDH = 73 and mZDHE = 85° in the diagram below, what is mZHEF? O 338 O 22 O 158 202​

Answers

Answer:

338

Step-by-step explanation:

ok

please answer this correctly dont answer it wrong please:):):):)

Answers

Answer:

the difference is £0.3 because I have calculated 25% of £1.20 and got£0.3 meaning the Doughnuts at the second shop costs £1.5 which is the sum of 25% of £1.2 and £1.2 and the difference between£1.5 and £1.2 is £0.3

Factors of 54 whose sum is 15

Answers

Answer:

6 and 9

Step-by-step explanation:

All of the factors of 54 are:

1, 2, 3, 6, 9, 18, 27, 54

6 and 9 together equal 15

Please Help I really need this to not get behind in my math class.

I would award more points but I fear people are just gonna answer with no actual answer and just for points….

Answers

Answer:

1. 12x+19

2.11x+16

3.54

4.3x+5x+8

Step-by-step explanation:

I first wrote the question and grouped like terms.So after grouping these you will get x+2x+8x +x +7 + 2+10 .When you simplify you wil get 12x+19 . If you don't understand comment me

Is this right answer??

Answers

Yes that is correct

pleasee help me answer dis question, will mark brainliests, just question 7 & 9​

Answers

Answer:

-16

Step-by-step explanation:

7)

y= mc+c ------gradient formula

y: y-intercept

m: gradient

c: y-axis

y= -2(6)+(-4)

= -12-4

= -16

find the cube root of 5832​

Answers

Answer:

18

hope it helps

What is Slope=2, y-intercept =5

Answers

y = 2x + 5

x= -3 , y= -11x= -2 , y= -9x= -1 ,  y= -7x=  0 , y= 5x=  1 ,  y= 7x=  2 , y= 9x=  3 , y= 13

Find the greatest commonFoctor for these
numbers 18, 42, 96​

Answers

Answer:

The greatest common factor for 18,42 and 96 is 6.

Step-by-step explanation:

6 X 3 = 18

6 X 7 = 42

6 X 16 = 96  

making 6 your largest common factor.

Which describes the process that could be used as the first step in solving this equation? 6x = 4 + 5(x + 8) A) Combine like terms by adding 4 + 5. B) Use distributive property to multiply 5(x + 8). C) Use division property of equality to divide both sides of the equation by 6. D) Use subtraction property of equality to subtract 6x from both sides of the equation.

Answers

Answer: B) Use distributive property to multiply 5(x + 8).

Step-by-step explanation:

trust me its right

The first step in solving this equation 6x = 4 + 5(x + 8) is,

⇒ Use distributive property to multiply 5(x + 8).

Option B is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 6x = 4 + 5(x + 8)

Now, We can solve the expression as;

⇒ 6x = 4 + 5(x + 8)

⇒ 6x = 4 + 5x + 40

⇒ 6x - 5x = 44

⇒ x = 44

Thus, The first step in solving this equation is,

⇒ Use distributive property to multiply 5(x + 8).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Genese Girer Gervis just hard the gossip about the latest scandal. He wants to make sure his fifteen buddies leam the gorp as quickly as possible. All the gossiping must take place by telephone, and every telephone conversation lasts an hour. How long will it take for all of Gervis's buddies to learn about the scandal?​

Answers

15 hours right? If I’m correct at least correct me if I’m incorrect.

The area of triangle ABC is
square units.

Answers

Answer: Area = 17.5 unit²

Concept:

Here, we need to know how to calculate the area of a triangle.

Area (triangle) = b · h · (1/2)

b = base

h = height

Solve:

Given information (By counting grids on the graph)

b (AB) = 7

h (BC) = 5

Given expression

Area = b · h · (1/2)

Substitute values into the expression

Area = (7) · (5) · (1/2)

Simplify by multiplication

Area = (35) · (1/2)

Area = [tex]\boxed{17.5}[/tex]

Hope this helps!! :)

Please let me know if you have any quesitons

1.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.

A. quadratic; y = –2.5x2

B. linear; y = 2.5x

C. exponential; y = 2.5x

D. quadratic; y = 2.5x2

Answers

Answer:

D. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

   = -2.5

   

  = 2.5

   

  = 7.5

2nd difference,

   = 5

   

  = 5

   

  = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

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