The graph of f(x) = 2^x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2^x - k. what is the value of k?

A. 5

B. -1

C. 1

D. 4​

Answers

Answer 1
Answer:  C)  1

==============================================================

Work Shown:

I'm assuming you meant to write [tex]f(x) = 2^{x+4}[/tex] where all of the "x+4" is the exponent.

If we shift f(x) 5 units to the right to end up with g(x), then,

[tex]g(x) = f(x-5)\\\\g(x) = 2^{x-5+4}\\\\g(x) = 2^{x-1}\\\\[/tex]

In the second step, I replaced every copy of x with x-5 so that I could apply the translation of 5 units to the right.

The exponent for g(x) is x-1, which matches up with x-k. We see that k = 1.


Related Questions

X^2-12x+9=y standard to vertex form

Answers

Answer:

(-6, -45)

Step-by-step explanation:

Answer:

y = (x - 6)^2 - 27

Step-by-step explanation:

Can anyone help me out on this not too sure on this

Answers

Answer:

y = 0.1x - 4

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-3, 7)

Points on the y-axis (y1, y2) = (-7, -6)

First of all, we would find the slope;

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

Slope = (-6 - (-7))/(7 - (-3))

Slope = (-6 + 7)/(7 + 3)

Slope = 1/10

Slope = 0.1

Next, we would write the equation using the formula;

y - y1 = m(x - x1)

y - (-7) = 0.1(x - (-3))

y + 7 = 0.1(x + 3)

y + 7 = 0.1x + 3

y = 0.1x + 3 - 7

y = 0.1x - 4

The Lorax can sell his Tuffla for $ .25 per pound. How much money will he earn if he sells 50,265 pounds?​

Answers

Answer:

$12566.25

Step-by-step explanation:

because .25 is 1/4 of $1 all you have to do is divide 50,265 by 4 and that's your answer

you could also just multiply .25 by 50,265 to make it simpler and it'll come with the same answer


Which word phrase represents the following
expression: 5. 3?

Answers

Answer:

Step-by-step explanation:

5.3 in words is "five point three," meaning 5 3/10 ("five and three tenths."

Answer:

five dot three which means 5.3 is five dot three

Solve the given equation.

45
.
28
=
19
.
83
+
z

Answers

1260 = 1577+ z
-317=z

Answer:

[tex]z=-317[/tex]

Step-by-step explanation:

1) Simplify 45 × 28  to  1260.

[tex]1260=19*83+z[/tex]

2)  Simplify  19 × 83  to  1577.

[tex]1260=1577+z[/tex]

3) Subtract 1577 from both sides.

[tex]1260-1577=z[/tex]

4) Simplify  1260 - 1577  to −317.

[tex]-317=z[/tex]

5) Switch sides.

[tex]z=-317[/tex]

Therefor, the answer is z = -317.

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 7) and (2, 252)

Answers

Answer:

y=7(6)^x

xStep-by-step explanation:

Use the give information to prove that a || b. Given 2= 6 prove a || b

Answers

Answer:

Since 2=6 is false, there is no solution.

Step-by-step explanation:

Can you explain how you got the answer as well please?

Answers

Answer:

A. 35

Step-by-step explanation:

The total amount of movies that the critic rates that we are given is 20. Now they want to figure us to figure it out with 100 movies. 20 times 5 is one hundred. We are supposed to look at the 3 star reviews, which is 7 movies. 7 times 5 is 35. Hope this helps!

Answer:

The answer is option A

Step-by-step explanation:

I have shared a file with the steps if you still can't understand so feel free to contact me through my email. Thanks.

what is 3(1/3a-2/3) +4a+8

Answers

5a+6

hope it's helpful ❤❤❤❤

THANK YOU

The Glazed Donut Shop made 120 donuts, and 48 of them are filled with jelly. What percent of the donuts are filled with jelly?

Answers

Answer:

just divide 48 by 120

Step-by-step explanation:

40 is the answer!!!!!!!!!!!!

Ms. Clandestine is planning to take her study group on a field trip to an amusement park. The regular cost is $25 per person. There is a party special that costs $15 per person with an additional $150 fee for a private room where students can eat lunch. Ms. Clandestine is trying to decide if she should use the regular price or the party special.

Question 1:Write an equation to show the total cost of the regular price with x people.
Group of answer choices

y=5x + 2

y=2x + 5

y=25x

None of the above

Question 2:Write an equation to show the total cost of the party special with x people.
Group of answer choices

y=15x + 25

y=15x + 150

y=150x + 15

None of the above

Question 3: What is the solution to this system?

Group of answer choices

(-375, 15)

(-15, 375)

(375,15)

(15,375)

Question 4: What does the solution mean in relation to THIS PROBLEM?

Answers

Question 1:

Multiply the regular price by the number of people (x)

Y = 25x

Question 2:

Multiply the special rate by number of people(x) and add the cost of the room:

Y = 15x + 150

Question 3:

Replace x with a positive value and solve for y, which will be larger than the x value

Answer (15,375)

Question 4:

This means for 15 people the total cost for the special rate would be $375

Please help!!! Thanks

Answers

Answer:

Option 2

Step-by-step explanation:

it easy Add them all up and then you get 47/16 then divide them and convert it to mixed number and then you get 2 15/16

Answer:

2 15/16

Step-by-step explanation:

We need to make sure all fractions have the same denominator.

The LCM (least common denominator) is 16.

Now we have to multiply each nunber except 2 1/16 to get a numerator of 16.

1/2: 1x8= 8, 2x8= 16→ 8/16

3/8: 3x2= 6, 8x2= 16→ 6/16

Now every add everything all up.

8/16 + 6/16 + 2 1/16 = 2 15/16

2 15/16 is our answer.

Pls how can I round the following figures to the nearest ten, hundred, thousand (1)46,586 (2)213,340 (3)391,565

Answers

Answer:

Step-by-step explanation:

Sample         Nearest 10        nearest hundred        nearest thousand

1                         46590                   46500                     47000

2                        213340                  213300                    213000  

3                        391560                  391600                    392000

The table above is actually the answers. The rule is this:

If you want to round to the nearest 10, go to the tens place.Observe the units placeIf the units place is 5 or more, round the 10s place up one.Show the units place as a zeroIf the units place is 4 or less, leave the 10s place alone. Make the units place 0. Rounding to the tens place always gives a 0 at the units place

If you want to round to the 100s place

Round the hundreds place using the five or more or 4 or less rule from the above rules.You should have 2 zeros at the end.

If you want to round to the 1000s place

Round the thousands place using the five or more or 4 or less rule from the above rules.You should have 3 zeros at the end.

people pay to visit a stately home
age 16 and over: £32.70
under 16: £17.90
143 people pay and 38 of these people are under 16.
How much ticket money is collected?

Answers

Answer:

£4113.70

Step-by-step explanation:

Given that:

143 people pay ; out of which 38 are under 16 ;

Hence ; 143 - 38 = 105 are over 16

Under 16 = £17.90

£17.90 * 38 = £680.20

16 and Over : = £32.70

£32.70 * 105 = £3433.50

£(680.20 + 3433.50) = £4113.70

Pls help!!

If the table below represents the number of cars sold in September , who sold the most cars?

A. Sara
B. Randy
C. Frank
D. Alice

Answers

Answer: C. Frank

Step-by-step explanation:

Frank sold 25 cars which is the highest amount.

C) Frank because it looks like he had the most cars sold from everyone else (25 cars)

maggie is baking 8 dozen cookies. the recipe she is using makes 24 cookies. she needs 2/3 cup of flour for one recipe. how much flour will she need?

Answers

Answer: 2 2/3 cups of flour

Step-by-step explanation:

Maggie is baking 8 dozen cookies.

8 dozen is equal to 96 cookies as 8×12=96

One recipe is equal to 24 cookies and for each recipe she'll need 2/3 cup of flour.

So you divide 96 by 24 which is equal to 4.

Therefore, you will need 4 recipes worth of flour.

4×2/3=2 2/3

So Maggie would need 2 2/3 cups of flour

evaluate the following expressions -5+2(8-12)​

Answers

Answer:

[tex] - 13[/tex]

Step-by-step explanation:

1) Simplify 8 - 12 to -4.

[tex] - 5 + 2 \times - 4[/tex]

2) Simplify 2 × -4 to -8.

[tex] - 5 - 8[/tex]

3) Simplify.

[tex] - 13[/tex]

Therefor, the answer is -13.

Answer:

- 13

Step-by-step explanation:

Hope this will help

Pls help for points

Answers

Answer:

The Answer is 1331

Step-by-step explanation:

11*11*11

A ball dropped a height from 100 m
Each time it hits the ground, it bounces 3/5 of the height it fell from.
How high did it bounce
A) on a first bounce?

B)on a second bounce?

Answers

the first should be 60, the second should be 36!

Compute and simplify the following: (a+b+c)^3

Answers

Answer:

a^3+3a^2b+3a^2c+3ab^2+3ac^2+6abc+b^3+c^3+3bc^2+3b^2c if you want it expand

(a+b+c)(a+b+c)(a+b+c) is equal to (a+b+c)^3

Find the next three terms of each geometric sequence.

8.1, -6, 36...

10.3, 15, 75...

12.-5, -20, -80...

Answers

I tried subtraction addition multiplication and division and I am still very confused on this

1-7 blanks plz help its due soon!

Answers

X-int: (-1+2 square root of 2, 0) & -1-2 square root of 2, 0)

Y-int: (0,-7)
Vertex: (-1,-8)
AOS: x= -1
Max/Min Value: (-1,-8)

tan23.tan35.tan60.tan67.tan55 =

(a) 1 (b) 1/√3 (c) √3 (d) 0

maths

STD 10

Answers

Answer:

c

Step-by-step explanation:

since all the tangent(tan) angles are multiplying,

you factor tan out and multiply the numbers. that's : tan( 23+35+60+67+55)

tan(240)

tan(240) =3

a point is chosen at random in the circle. What percent of the time will the point be in the square? Round to the nearest tenth of a percent.

Answers

Answer:

P = 0.637

Step-by-step explanation:

By a small online search, i've found that the image is a circle of radius R = 1in, and a square inside of the circle, such that the distance between the center of the square and the one vertex of the square is one inch.

To solve this problem, we need to find the area of each figure.

The area of a circle of radius R is:

A = 3.14*R^2

Then the area of our circle is:

A = 3.14*(1in)^2 = 3.14 in^2

Now for the square.

If the distance between the center and one vertex is 1 inch, then the distance between two opposite vertex is twice that: 2 inches.

Now we can think of a triangle rectangle, where both catheti are equal to L, the side length of the square, and the hypotenuse is 2 inches.

Using the Pythagoreans theorem, we get:

L^2 + L^2 = (2in)^2

2*L^2 = (2in)^2

L^2 = (2in)^2/2 = 2 in^2

L = √(2 in^2) = √2 in

And the area of a square of side length L, the area is:

A = L^2

Then the area of our square is:

A = (√2 in) = 2 in^2

Then:

Area of the circle = 3.14 in^2

Area of the square = 2 in^2

The area of the circle represents the 100% (if a point is chosen at random in the circle, the probability that the point will be inside the circle is P = 1)

The probability that the point will be inside the square is equal to the quotient between the area of the square and the area of the circle, this is:

P = (2 in^2)/(3.14 in^2) = 0.637

Marcus makes a punch that is 1/4 cranberry juice. Write two fractions that are equivalent to 1/4.

Answers

2/8 4/16 would be two answers

In the diagram, the measure of angle 1 is 116°, the measure of angle 2 is (8x)°, and the measure of angle 6 is (x + 12)°

What is the measure of angle 8, to the nearest degree?

14°
20°
52°
64°

Answers

Answer:

b

Step-by-step explanation:

Answer:

20 or B

Step-by-step explanation:

Edge 2021

EXPRESS THE AREA OF THE ENTIRE RECTANGLE. YOUR ANSWER SHOULD BE A POLYNOMIAL IN STANDARD FORM

Answers

Answer:

(x+7) times (x+3)

Step-by-step explanation:

Because a area of a rectangle is lw and you combine x and 3 to make x+3 and 7 and x to make x+7 and you multiply them together.

The area of the rectangle will be (x² + 10x + 21) unit².

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The Length of the rectangle = x + 7

And, The width of the rectangle = x + 3

Now,

Since, The Length of the rectangle = x + 7

And, The width of the rectangle = x + 3

We know that;

The area of rectangle = Length × Width

                                  = (x + 7) × (x + 3)

                                  = x² + 3x + 7x + 21

                                  = x² + 10x + 21

Thus, The area of rectangle = (x² + 10x + 21) unit²

Learn more about the rectangle visit:

brainly.com/question/9585915

#SPJ2

what is it please?*mmm,mmjjjjjjn​

Answers

Answer:

y=-4x

Step-by-step explanation:.

Why
is 30% of 40
and 40% of 30 the
same?​

Answers

Answer:

no it's different 30% would be 12 and 40% would be 16 if it was going into 30 now mark as brainliest

Answer:

In both cases you are really multiplying the same numbers together.

Step-by-step explanation:

30% of 40 would be 30 x 40 x 0.01 = 12

or 0.30 x 40 = 12

40% of 30 would be 40 x 30 x 0.01 = 12

or 30 x 0.40 = 12

Picture attached pls help (will give brainliest)

Answers

Answer:

[tex] \boxed{ \tt{b.}}[/tex]

Step-by-step explanation:

[tex] {2x}^{4} + {2x}^{3} - {x}^{2} - x \\ x({2x}^{3} + {2x}^{2} - x - 1) \\ x({2x}^{2} (x + 1) - 1(x + 1)) \\ {2x}^{3} (x + 1) - x(x + 1) \\ ({2x}^{3} - x)(x + 1)\\ x({2x}^{2} - 1)(x + 1)[/tex]

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