What is the equation of an exponential function with base=2 that has a vertical stretch by a factor of 3, a shift to the right 5 and a shift up 6 ?

Answers

Answer 1

Answer:

[tex]y=3(2)^{x-5}+6[/tex]

Step-by-step explanation:

Let the equation of the exponential function with base 2 is,

[tex]y=a(2)^{x+c}+d[/tex]

Here, a = vertical stretch

c = Horizontal shift

d = Vertical shift

If this function has a vertical stretch by a factor of 3,

Equation will be,

[tex]y=3(2)^{x+c}+d[/tex]

If this function has a shift of 5 to the right,

Equation of the function will be,

[tex]y=3(2)^{x-5}+d[/tex]

If this function has a shift of 6 units upwards,

[tex]y=3(2)^{x-5}+6[/tex]


Related Questions

The area of a square is 16x^2 -40x+ 25. What is the perimeter of the square?​

Answers

Answer:

Perimeter = 16x-20 units

Step-by-step explanation:

Given: 16x^2 - 40x + 25

Reduce perfect square trinomial: (4x-5)(4x-5)

4x-5 is your side length. Since the perimeter of a square is 4s, then the perimeter is 4(4x-5)=16x-20

pls help asap no files though

Answers

Answer:

About 10 for A and B

Step-by-step explanation:

Just count the little boxes :)

Carlos has 4.5 pounds of flour she needs three out of 4 pound of flour to make pizza what is the greatest number of pizzas Carlos can make.

Answers

Answer:

6 pizzas

Step-by-step explanation:

divide 4.5 by 3/4

100%
How many inches are in 2 ft?
А. 10
В. 12
C. 20
D. 24
Е. 36

Answers

Answer:

D. 24 inches

Step-by-step explanation:

There are 12 inches in a foot so multiply 2 feet by 12 inches

Answer:

The answer is 24

Step-by-step explanation:

Solve the quadratic equation
(x+2)^2=1

Answers

Answer: x = -1, -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Taking the square root of both sides leads to

x + 2 = ±1

which in turn comes out to  x = -2 + 1, or x = -1, and x = -2 - 1, or x = -3

please help fast ill give brainliest
Which of the following are equivalent expressions? Select all that apply.
a. g3 – 23 = g × g × g – 23
b. 64 + 2f = 64 + f + f
c. 5p3 = 5 × 3 × p
d. 2d3 + 8 = 2 × d × d × d + 8
e. 37 + 4n = 37 + 4 + n

Answers

Answer:

sorry for the late answer but it's a, b, and d. hope it helps :)

could someone please help

Answers

140
The area is lengthX width so (7+7)(5+5) which is just 14 x 10

Answer:

70

Step-by-step explanation:

the formula for a triangle is b (base) x h (height), then ÷2. there are two tringles together to make this shape, their bases are 10 (5+5) and their heights are 7. so if you do the math for the 2 triangles then add them together you get the area for the entire shape.

helpppp meeee plsssssss

Answers

Answer:

Step-by-step explanation:

2 3/4 - 2 1/4

2/4 or 1/2 or 0.5 whichever you want to go with

Answer:

[tex]range = 2 \frac{1}{2} - 2 \frac{3}{4} \\ = \frac{5}{2} - \frac{11}{4} \\ = - \frac{1}{4} \\ = 7 - 1 \\ = 6[/tex]

The triangle shown is rotated 90° counterclockwise about the origin. What are the new coordinates of point A?
A)
(1,2)
B)
(-2, 1)
C)
(2, 1)
D)
(-2,-1)

Answers

Answer:

c

Step-by-step explanation:

Jayesh determines that he needs to sell more than $200 worth of fruit athis produce stand in order to make a profit. Part A.Which inequality represents the fruit sales,s, in dollars, forwhich Jayesh will make a profit?A s< 150 Bs< 200 Cs> 200 Ds> 250

Answers

Answer:

s > 200

Step-by-step explanation:

Note that

> means greater than

< means less than

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

If he needs to sell more than 200, sales has to be greater than 200 = s > 200

answer for brainilest and 11 points

Answers

The answer is y = 2.2x .
hope this helped

Answer and Step-by-step explanation:

y = 2.2x is the equation for the table.

When you plug in the values for x into the equation, we get the same numbers as the values shown in the y section of the table.

#teamtrees #PAW (Plant And Water)

PLSSS HELP ASAP WILL GIVE BRAINLEAST!!!!!!!!!!!!

#2 8.EE.1.2 Check all the pairs of number that satisfy the square root or the cube root [radicand, result] *

a.[8, 4]
b.[64, 8]
c.[1000, 100]
d.[100, 10]
e.[64, 4]
f.[1000, 10]

Answers

Answer:

Hello! Your answer would be, F)[1000, 10] AND C)[1000, 100]

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

WILL MARK BRAINLIEST

Answers

Answer:

30

Step-by-step explanation:

60(highest) - 30(lowest) = 30(range)

PLEASE HELP FOR #2abc!!

Answers

Answer:

a) 2

b) 1

c) y =mx+b

Step-by-step explanation:

Slope = rise/run = Δy/Δx = 2/1 =2   [Δ means difference between 2 values]

To find slope we need to find by how many difference do the x and y increases or decreases. Here y increases by 2 and x increases by 1.

The constant just another way of asking y-intercept.

The slope-intercept form y=mx+b. [m=slope, b= y-intercept]

We will choose point (1,3) to input into the equation. You can use any point it would give the same answer.

3 = 2×1 +b

3 = 2 +b

b = 3-2

b = 1

hi^_^ I NEED HELP WITH A PLZ HELP

Answers

Answer:

∠ X = 80° , ∠ V = 60°

Step-by-step explanation:

(a)

Since XY and WX are congruent then the triangle is isosceles and the 2 base angles are congruent, that is

∠ W = ∠ Y = 50° , so

∠ X = 180° - (50 + 50)° ← sum of angles in triangle

∠ X = 180° - 100° = 80°

(b)

Since the 3 sides are congruent then the triangle is equilateral with the 3 angles congruent, each 60°

∠ V = 60°

PLEASE HELP 25 PLUS POINTS!!!THIS IS REALLY IMPORTANT

Answers

Answer: A- 12.5 million

Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.

Answer:

40 million

Step-by-step explanation:

125% of x

125/100 * x = 1.25x

x+ 10 = 1.25x

(subtract x from both sides)

10 = 1.25x - x

10 = 0.25x

(divide both sides by 0.25)

10/0.25 = x

x= 40

help me again with this question please.

Answers

Answer:

The answer is A..........

Answer:

Step-by-step explanation:

Write an expression that represents the volume of a cube with side length 2x^3. (For any cube with side length s, v = s^3 = s.s.s^.)
A. 6x^6
B.6x^9
C. 8x^9
D.8x^6

Answers

Answer:

C. 8x^9

Step-by-step explanation:

(2x³)³=8x^9

what’s is 63 fl oz;7 c; and 1.5 qt from least to greatest

Answers

Step-by-step explanation:

explain what 7 c is please and I'll write the answer in the comments:))

Help me please.. :) :) :) :) :) :)

Answers

Answer:

Reflection Waves(i think)

Step-by-step explanation:

When light bounces off something then that is reflection and music travels in sound waves so I would say waves.

Reflection and waves

Find 3[g(4)] if g(x) = -2x + 10

Answers

Answer:

6

Step-by-step explanation:

= 3[-2(4) + 10]

= 3(-8 + 10)

= 3(2)

The function is given as  g(x) = -2x + 10 then the solution of the 3[g(4)] would be equal to 6.

What is a function?

A function is a type of relation, or rule, that maps one input to a specific single output.

Functions that are formed by composing two or more functions in a way that one's output is another's input are called composite functions.

They are also called functions of functions.

We have to find 3[g(4)] if g(x) = -2x + 10

3[g(4)] = 3[-2(4) + 10]

3[g(4)]  = 3(-8 + 10)

3[g(4)]  = 3(2)

3[g(4)]  = 6

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Hurry please I need it tonight thank u so much

Answers

it’s the 3rd option!

-5 (the bubble shaded black), the arrow going left towards -9.

Hope this helps!

Thanks don’t answer any of my questions or post share this to everyone on Brainily I’m tired of my phone blowing up not from the nice people some are mean y’all will get 71 points I chose that ok peace

Answers

i will share to my friends

find the value of x then find the angle measures of the polygon 65, x, (x-5)

Answers

Answer:

x = 60

Step-by-step explanation:

Assuming that there are no secret angles unmentioned, the figure in question is a triangle, as it has 3 angles. With this knowledge, we also know that a triangle contains 180°. So, we can do the following to solve for x.

65 + x + (x - 5) = 180

2x + 60 = 180

2x = 120

x = 60

Can somebody help me with this! Please


Answers

Answer:

Step-by-step explanation:

3(x +2 ) = 18     {Use distributive property: a(b +c) =a*b + a*c}

3*x +3*2 = 18

3x + 6 = 18             {Subtract 6 from both sides}

     3x = 18- 6

     3x = 12          {Divide both sides by 3}

       x = 12/3

x = 4

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

I think D

Step-by-step explanation:

It makes sense to me

A line segment AB is increased along its length by 25% by producing it to C on the side of B . If A and B have the coordinates ( 1 , 2 ) and ( 5 , 6 ) respectively then find the coordinates of C.
Ans : ( 6 , 7 )

*Please show your workings* ​

Answers

Answer:

C = (6, 7)

Step-by-step explanation:

Coordinates of point B in terms of A and C:

x = x₁ + (x₂ - x₁)*a/(a + b)y = y₁ + (y₂ - y₁)*a/(a + b)B(x, y) = (5, 6), A(x₁, y₁) = (1, 2), C(x₂, y₂) = ?

Find the coordinates:

5 = 1 + (x₂ - 1)*4/5  ⇒ 4 = 4/5*(x₂ - 1) ⇒ x₂ - 1 = 5 ⇒ x₂  = 66 = 2 + (y₂ - 2)*4/5 ⇒ 4 = 4/5(y₂ - 2) ⇒ y₂ - 2 = 5 ⇒ y₂ = 7C = (6, 7)

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

3100

Step-by-step explanation:

V=πr2h

 = 3.14 x [tex]10^{2}[/tex]x10

 = 3100

A square sticky note has sides that are 7 centimeters long. What is the sticky note's area?

Answers

Answer:

side- 7

area of square - side x side

7 x 7 - 49² cm

square - all sides are the same length

area - length * width

7 * 7 = 49

49 cm^2

How do I solve for X?

Answers

All the angles should add up to 360°.

8x+10x+9+21x-12+90=360°

Group like terms together.

So,8x+10x+21x+9+90-12=360

39x+87=360

39x=360-87

39x=273

x=7

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