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

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]

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

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

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

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

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

Answer:

338

Step-by-step explanation:

ok

Answer:

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

9514 1404 393

Answer:

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.

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.

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.

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.

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:

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Answer: A

Step-by-step explanation:

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

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.

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

Answer:

18

hope it helps

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]

Answer:

The answer is 14.28cm

Answer:

I will help ukshagaakavlabsbakakahsjskmdlslsbsbs skshsvs

Answer:

I think that it might be (−∞,1/2)

hope it was any help ^^

Answer:

Step-by-step explanation:

c

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 )

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:

y = 2x + 5

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