23. (04.05)
Which statement best describes the effect of replacing the function f(x) = 2 ^x-2 with the function g(x) = 2 ^x+3

The graph shifts 1 units left.
The graph shifts 5 units left.
The graph shifts 1 unit right.
The graph shifts 3 units right.

Answers

Answer 1

Answer:

The graph shifts 5 units left

Step-by-step explanation:

The given functions are;

f(x) = [tex]2^{x - 2}[/tex], g(x) = [tex]2^{x + 3}[/tex]

Therefore, we have;

When x = 2, f(2) = [tex]2^{2 - 2}[/tex] = 1  and g(2) = [tex]2^{2 + 3}[/tex] = 32

When x = 3, f(3) = [tex]2^{3 - 2}[/tex] = 2  and g(3) = [tex]2^{3 + 3}[/tex] = 64

When x = 6, f(6) = [tex]2^{6 - 2}[/tex] = 16  and g(6) = [tex]2^{6 + 3}[/tex] = 512

When x = 7, f(7) = [tex]2^{7 - 2}[/tex] = 32 and g(7) = [tex]2^{7 + 3}[/tex] = 1024

When x = 8, f(8) = [tex]2^{8 - 2}[/tex] = 64  and g(8) = [tex]2^{8 + 3}[/tex] = 2,048

Therefore, the y-value of f(x) obtained at x = 8, is obtained by g(x) at x = 3, and the graph is shifts(ed) 5 units left.


Related Questions

What is the slope??
(The bottom one says : (1, 1)

Answers

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.
The slope is: -1/3
Ok done. Thank to me :>

The students at the engineering conference ate more than 20 pizzas. The inequality x greater-than 20 represents the situation. Which graph represents the inequality?
A number line going from 15 to 25. An open circle is at 20. Everything to the right of the circle is shaded.
A number line going from 15 to 25. An open circle is at 20. Everything to the left of the circle is shaded.
A number line going from 15 to 25. A closed circle is at 20. Everything to the right of the circle is shaded.
A number line going from 15 to 25. A closed circle is at 20. Everything to the left of the circle is shaded.

Answers

Answer: Image A

Step-by-step explanation:

math

Answer:

A

Step-by-step explanation:

can i please have help with this question branliest for the correct answer

Answers

Answer:

y = -4x+2

Step-by-step explanation:

To find a perpendicular line, the slope would be -4.

y=-4x

Since the point it has to go through is (0,2), the y-intersept is already given.

y = -4x+2

Find: (4x2y3 2xy2 â€"" 2y) â€"" (â€""7x2y3 6xy2 â€"" 2y) Place the correct coefficients in the difference. X2y3 xy2 y.

Answers

The required coefficient is 11,-4 and 0.

Given expression is,

[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)[/tex]

we have to find the coefficient of the above expression.

ON solving the above expression,

[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=4x^{2} y^{3} +2xy^2-2y+7x^2y^3-6xy^2+2y[/tex]

[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=11x^2y^3-4xy^2+0y[/tex]

Hence from the above expression, it is clear that the coefficient of [tex]x^2y^3[/tex] is 11,[tex]xy^2[/tex] is -4 and [tex]y[/tex] is 0.

For more details on coefficient follow the link:

https://brainly.com/question/10702726

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

i think it’s the 3rd one
its the 3rd answer!!!

Last week bakery marvels baked 5 of the power of ten 5 muffins. How many muffins Do bakery marvels make?

Answers

Answer:3125 muffins

Step-by-step explanation:

help fast it due at 11pm

Answers

Answer:

multiplying 14/15 by 5 then dividing by 7

Hamid has gained weight.
he now weighs 88kg, this is 10% more than his normal weight.
what is hamids normal weight?

Answers

Answer:

174.6

Step-by-step explanation:

88 kg = 194.007 - 10%

194 * 10% = 194 - 19.4 = 174.6

solve the ratio with solution nonsense=report
1.23:67
2.67:89​

Answers

Step by step explanation:23:67 23÷67--Convert the ratio into a fraction using a÷b=a/b23/67--Calculate the approximate value0.343284--Round the number to the nearest ten thousand0.3443--Write a decimal fraction34.33/100--by definition p/100=p%Answer:1.34.33%

67:89 67÷89--Convert the ratio into a fraction using a÷b=a/b67/89--Calculate the approximate value0.752809--Round the number to the nearest ten thousand 0.7528--Write as decimal fraction75.28/100--by definition p/100=p%Answer:2.75.28%

That's the correct answerLiked my answer Brainliest

30 POINTS! "A triangle with the side lengths of these numbers CAN exist: 9, 3, and ____?

Answers

Answer:

Let the third side be x

We know that

Sum of two sides of a triangle must be greater than the third side

So,

9 + 3 > x

12 > x (1)

Also, difference of two side of triangle must be smaller than the third side

9 - 3 < x

6 < x (2)

From 1 and 2 we concluded

6 < x < 12

The length of third side would lie between 7 to 11

It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need

Answers

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

I DONT KNOW AHHHHHH
[tex]0.399 + w = 0.4[/tex]

Answers

Answer:

[tex] \sf \: w = 0.001[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of w.

The equation is,

→ 0.399 + w = 0.4

Then the value of w will be,

→ 0.399 + w = 0.4

→ w = 0.4 - 0.399

→ [ w = 0.001 ]

Hence, the answer is 0.001.

A truck is 2000 kg and has a cargo load of 1000 kg. Its speed is 50 km/h. The momentum for the truck and cargo is

Answers

Answer:

The momentum for the truck and cargo is 150000 kg·km/h

Step-by-step explanation:

p = mv

p = (2000 kg + 1000 kg)(50 km/h)

p = (3000 kg)(50 km/h)

p = 150000 kg·km/h

Solve for x.

x2 + 4x - 21 = 0

Answers

2x + 4x - 21 = 0
6x - 21 = 0
6x = 21
x=3.5

What is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187. 5, … /.

Answers

The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]

Given the following geometric sequence:

768, 480, 300, 187. 5

To determine the common ratio for the given geometric sequence:

The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.

Mathematically, the common ratio of a geometric sequence is given by the formula:

[tex]C=\frac{T_{n+1}}{T_n}[/tex]

Substituting the given parameters into the formula, we have;

[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]

Read more: https://brainly.com/question/13162487

!!!NEED ANSWERS ASAP!!!! simplify 15 ÷ 3 +2 x 10

Answers

Answer:

70

Step-by-step explanation:

because 15 divided by 3 is 5+2=7 and 7 x 10=70

ok how do i show work for this tho lolololoololololollloooooool

Answers

Answer:

y=[tex]\frac{1}{5}[/tex]x is linear

Step-by-step explanation:

4x-3y=7y+2x

collect like terms

4x-3y-7y-2x=0

2x-10y=0

simplify

x-5y=0

rewrite it in slope intercept form

y=[tex]\frac{1}{5}[/tex]x which is the equation for a straight line

HELP PLEASE...........

Answers

Answer:

  B. slope -5, y-intercept (0, 7)

Step-by-step explanation:

The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)

The slope is ...

  change in y / change in x

  (-13 -7) / (4 -0) = -20/4 = -5 . . . slope

This matches choice B.

You barrow 300$ for 5 years at an interest of 4% what is the interest you paid

Answers

Answer:

$60

Step-by-step explanation:

There's not enough information. We need to know how often the interest is compounded. I'll assume it's yearly. If not, you can apply the same method to what it actually is.

If it's compounded yearly that means it's going to be compounded 5 times so the equation becomes.

5*(300*4%)

which is:

5*(300*.04)

which becomes:

5*12

Which is:

$60

An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?

Answers

Answer:

$14 discount$56 discounted price

Step-by-step explanation:

The amount of the discount is ...

  20% of $70 = 0.20·$70 = $14 . . . discount

The discounted amount is ...

  $70 -14 = $56 . . . discounted price

A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?​

Answers

Answer:

a = 8

Step-by-step explanation:

First find the equation of line using

y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1

y-1=7(x-(-6))

y-1=7x+42

y=7x+43

now let x be -5 to find y which is a

y=7(-5)+43

y=-35+43

y=8

so a = 8

the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?

Answers

Answer:

$41.78

Step-by-step explanation:

tax is 4.5% on top of original price of 39.98

so multiplying 39.98 by 1.045 gives us 41.78

you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included

$41.78
you add the price and the sales tax to get the total amount

Find the inverse of the function 6-5x

Answers

Answer:
-x/5 + 6/5
hope this helps!

I NEED BOTH OF THESE


60 POINTS

asap

Answers

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5


Please help me solve this problem

Answers

Answer:

15

Step-by-step explanation:

1/2-1/3x=-4 solve the equation

Answers

Answer: x=-21/2

Step-by-step explanation:

1

2

1

1

3

Answer:

x=27/2

Step-by-step explanation:

1/2-1/3x=-4

subtract 1/2 from both sides

1/2+-1/3x -1/2=-4 -1/2

Group like terms

-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2

Combine the fractions

-1/3 ⋅ x+0=-4 -1/2

Convert the integer into a fraction

-1/3 ⋅ x=-8/2 -1/2

Combine.

-1/3 ⋅ x= -9/2

Isolate the x:

-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1

1x=-9/2 ⋅ 3/-1

x= -9 ⋅ -3/2

x=27/2 as your answer

The length of each side of a square is 3 inches more than the length of each side of a smaller square. the sum of the areas of the squares is 369 in.² find the length of the sides of the two squares

Answers

Answer:

Have you ever had a dream that, that, um, that you had, uh, that you had to, you could, you do, you wit, you wa, you could do so, you do you could, you want, you wanted him to do you so much you could do anything?

Step-by-step explanation:

the sum of two opposite angles of a parallelogram is 140 degree . find all the angles ofa parallelogram?

Answers

Answer:

since opp. angles of a parallelogram is equal.

therefore,

let the angle be x

thus,

x+x=140

2x=140

x=70°

co interior angles are supplimentary,

thus,

x+y=180

y=180-70

y=110°

opp. angles are equal thus,

fourth angle =110°

1st angle=70

2nd angle=70

3rd angle =110°

Step-by-step explanation:

the fraction 26/5 is between which two numbers​

Answers

Answer:

[tex]\huge\boxed{5,6}[/tex]

Step-by-step explanation:

The fraction 26/5 can be simplified to 5 and 1/5, which is between the numbers 5 and 6.

Hope it helps :) and let me know if you want me to elaborate.

Find the quotion 19.00/
16

Answers

Answer:

1.1875

Step-by-step explanation:

19.00/16 is =1.1875

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