The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units, then what is the value of k?

k equals one seventh
k equals negative one seventh
k = 7
k = −7

Answers

Answer 1

Answer:

k = 7

Step-by-step explanation:

Vertical shift down by 7units, f(x) - 7

g(x) = (0.5)x - 7

g(x) = (0.5)x - k

Comparing both equations, k = 7

Answer 2

Answer:

k = 7

Step-by-step explanation:

it would be 7 and not -7 because there is already a minus symbol which shows that k is being moved downwards 7 UNITS.


Related Questions

HOPE I MADE YOU SMILE!!

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Answer:

ok points

Step-by-step explanation:

Answer:

Thank You so much.....You made me smile lol :D

What is [-2,-4] and [1,0]

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Answer:

m=4/3

Step-by-step explanation:

50 squared is rational

True
False

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Answer:

false

Step-by-step explanation:

Answer:

A rational number can be written as a fraction. Try finding the square root of 50 and see if you can rewrite it in fraction form.

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y - 2 = -14

Answers

Answer: y=-6

Step by step explanation:
2y-2=-14
2y=-12 (move the negative 2 to the right)
y= -6 (divide both sides by 2)
Your equation is then y=-6

8a+3.28=46.28
solve for a please ik I already asked but I need to pass this test thank you :)

Answers

Answer:

A=5.375

Step-by-step explanation:

46.28-3.28= 43

43÷8= 5.375

I hope this helps

Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.

Answers

Answer: He needs to splash the threes

Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer

Which value of y makes the equation y+4.2=21 true?

Answers

Answer:

16.8

Step-by-step explanation:

21-4.2= 16.8

n less than 10
.......................

Answers

Answer:

n<10

Step-by-step explanation:

What is the height of a triangle with an area of 67. 5 square meters and a base of 9 meters?.

Answers

The height is 15meters long

The height of the triangle is 15 meters.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Types of triangles

Right triangle Equilateral triangle Isosceles triangle Scalene triangle

Area of a triangle = 1/2 (base x height)

height = (2 x area ) / base

(2 x 67.5) / 9

= 135 / 9

= 15 meters

Please find attached an image of a triangle. A similar question was answered here: https://brainly.com/question/7655890

Help me pleas asap and pleas show your work

Answers

Answer:

y = 7 - 4x

Step-by-step explanation:

8x + 2y = 14

2y = 14 - 8x (since we're solving for "y", we want "y" by itself)

y = 14-8x / 2 (we want to separate "y" and 2, so we divide the other side of the  equation by 2)

y = 7 - 4x (divide by 2)

Hope this helps :)

your answer would be y=7-4x

Amy is solving the equation using the steps shown.



Which could be the correct next step in solving the equation?


Subtract 2 from both sides of the equation to yield (x 2 – 16) = 0.
Subtract 2 from both sides of the equation to yield (, x , 2, – 16) = 0.

Multiply (x 2 – 16)(x + 2) on the left side of the equation to yield x 3 + 2x 2 – 16x – 32 = 0.
Multiply (, x , 2, – 16)(, x, + 2) on the left side of the equation to yield , x, , 3, + 2, x, , 2, – 16, x, – 32 = 0.

Factor (x 2 – 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
Factor (, x , 2, – 16) on the left side of the equation to yield (, x, + 4)(, x, – 4)(, x, + 2) = 0.

Add 16 to both sides of the equation to yield x 2(x + 2) = 0.
Add 16 to both sides of the equation to yield , x , 2, (, x, + 2) = 0.

Answers

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

[tex]\mathbf{(x^2 - 16)(x + 2) = 0}[/tex]

The possible next steps are:

1. Expand the equation as follows

[tex]\mathbf{x^3+2x^2-16x-32 = 0}[/tex]

2. Express x^2 -16 as a difference of two squares as follows

[tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

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Use the function z=7c to find the value of z when c=8.

Answers

Answer:

z = 56

Step-by-step explanation:

z = 7(8)

Write an Equation for each of the lines on the graph.

Answers

NOTE: for C there is an x after -4.1176

Step-by-step explanation:

David has $90 to spend on sneakers. The sales tax in his state is 6%.
Vincent has $95 to spend on sneakers. The sales tax in his state is 9%.
Both boys are interested in a pair of sneakers that costs $86. Who will be able to buy the sneakers?

Answers

Answer:

Vincent will be able to buy the sneakers, while David will not be able too.

Step-by-step explanation:

I believe this is true because for David,

6% of 86$ is 5.16$

so 86 + sales tax (which is 5.16) = 91.16$

David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.

While for Vincent,

9% of 86$ is 7.74$

so 86 + sales tax (which in this case is 7.74) = 93.74

Vincent has 95$ to spend so he can afford the shoes.

I am not exactly sure if all calculations are correct, but I hope this helps! :)

Answer:

Vincent          

I took the test on edg

Can you Explain your thinking.

Answers

Answer:

Record yourself explaining your thoughts and listen to the recording. Continue re-recording what you say and listening to your recording until it sounds they way you want it to.

what does FSS stand for in math

Answers

Answer:

frequency-selective surface (FSS)

Convert -439° to radians

Answers

Answer:

-439° × π / 180°  

= -2.4388888889π rad  

= -7.6619954163 rad

Step-by-step explanation:

π rad = 180°

good night everyone : )

Answers

Answer:

Good night sagey!!!! sleep well

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

PLS HELP URGENTT

Answers

Answer:

Please give Brainliest!

Step-by-step explanation:

The three sides are 36ft, 72ft, and 59 ft.

Find the center and radius of the circle x^2+y^2-10x-12y+45=0.

Answers

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

x - 5 + y + 6 = 4

Here, (a,b) = (5, -6) and = 16, with r = 4

Thus, The center is (5, -6) with a radius of r

-TheUnknownScientist 72

Hi please help !!! With steps as well please!

Answers

Answer:

  a) m = 60°, n = 30°

  b) m = 20°, n = 45°

Step-by-step explanation:

a)

The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.

Angle n is the complement of angle m, so is 90°-60° = 30°

  m = 60°, n = 30°

__

b)

The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)

The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.

  m = 65° -45° = 20°

  m = 20°, n = 45°

_____

Additional comment

The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...

  a + 2b = 180°

  2b = 180° -a

  b = (180° -a)/2 . . . . . . the relation used above

Will give brainliest i rlly need help

Answers

Answer:

1/6

Step-by-step explanation:

-3/4 - (-1/2) = - 1/4

-2/3 - 5/6 = - 3/2

-1/4 ÷ -3/2

Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?

Please show work

Answers

Answer:

70

Step-by-step explanation:

the least common multiple of 10 and 14 will be the answer

the prime factorization of 10 is 2 and 5

the prime factorization of 14 is 2 and 7

so you can multiply the number in common, 2, by the ones not common, 5 and 7

2 x 5 x 7 = 70

2. A high school wants to double the size of its parking lot by expanding the existing lot as
shown below. By what distance should the lot be expanded?
x ft
kin
75ft
old parking lot
165ft
school
300 Ft
75 ft xft

Answers

The parking lot is located along the front and one side of the school

building.

The distance x with which the lot should be expanded is 60 feet.

Reasons:

The given dimensions in the compound are;

Length of the school and the old parking lot = 300 + 75

Width of the school and the old parking lot = 165 + 75

Length of the school, the old and new parking lot = 300 + 75 + x

Width of the school and the old and new parking lot = 165 + 75 + x

Area of the new parking lot the school wants = Double the old parking lot

In terms of areas, we have;

New compound - School = 2 × (old compound - school)

Which gives;

(300 + 75 + x) × (165 + 75 + x) - 300 × 165 = 2 × ((300 + 75) × (165 + 75) - 300 × 165)

2 × (375 × 240 - 49,500) = (375 + x) × (240 + x) - 49,500

Simplifying gives;

81,000 = x² + 615·x + 40,500

x² + 615·x + 40,500 - 81,000 = 0

x² + 615·x - 40,500 = 0

Factorizing with a graphing calculator gives;

(x - 60)·(x + 675) = 0

Therefore;

x = 60 or x = -675

Given that x is a natural number, we have, the correct value is; x = 60;

The distance with which the lot should be expanded, x = 60 feet.

Learn more about writing equations here:

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Can someone help me with this, and if you can Explain it.​

Answers

Answer:

20

Step-by-step explanation:

Since C is the midpoint of BD, BC must be equal to CD. Therefore, we can set the equation:

x+4=3x-10

Solve:

14=2x

x=7

Then we find AC, which is:

2x-5+x+4 = 3x-1

We can plug x in to get:

3*(7)-1=20

could someone explain this to me? ​

Answers

Answer:  f(x) = 3x^3 - 15x^2 + 12x - 60

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

Explanation:

Let's focus on the root x = 2i. Square both sides to get rid of the imaginary component and then get everything to one side.

x = 2i

x^2 = (2i)^2

x^2 = 4i^2

x^2 = -4

x^2+4 = 0

You should find that the root x = -2i leads to x^2+4 = 0 as well.

So the equation x^2+4 = 0 produces the complex roots x = 2i and x = -2i. This tells us that x^2+4 is a factor of the answer. The other factor is x-5 due to the real number root x = 5.

We'll multiply those two factors mentioned:

(x-5)(x^2+4)

w(x^2+4) ..... let w = x-5

wx^2 + 4w

x^2(w) + 4(w)

x^2(x-5) + 4(x-5) .... plug in w = x-5

x^3 - 5x^2 + 4x - 20

----------

The last step is to triple each term so that we go from the leading term of x^3 to 3x^3. This will give us a lead coefficient of 3.

So we go from this

x^3 - 5x^2 + 4x - 20

to this

3x^3 - 15x^2 + 12x - 60

after tripling everything. This expression has the same roots as the previous one. Scaling the function only stretches it vertically, but the roots aren't changed.

pls help me solve this​

Answers

Volume = Area of triangle x length


Area of triangle = 1/2 x base x height

Area of triangle = 1/2 x 5 x 4

Area of triangle = 10


Volume = area of triangle x length

Volume = 10 x 12

Volume = 120 cm^3

Plz help brainiest to the correct answer

Answers

1. -2 + 15 = 13

If the temperature is -2 and it rises 15 degrees, the new temperature is 13 degrees.

2. The temperature rose 15 degrees

-6 + 9 = 15

Answer:

1 a) 13 degrees Celsius

b) By fifteen degrees

3.52 in expanded form

Answers

Step-by-step explanation:

3.52 =

3

+ 0.5

+ 0.02

hopes this helps you

A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bagels, and z onion bagels. Which expression represents the total amount Max spent at the bakery?
A.
1.09x + 1.59yz
B.
1.09x + 1.59y + 1.59z
C.
1.09x + 3.18(y + z)
D.
(1.09 + 1.59)(x + y + z)

Answers

Answer:

B

Step-by-step explanation:

For each glazed donut, Max spends $1.09. Therefore, if he buys x donuts, he pays $1.09 x times, or $1.09 * x. Similarly, for cinnamon bagels, he pays $1.59 * y, and for onion bagels, he pays $1.59 * z. Adding these up, we get

1.09x + 1.59y + 1.59z

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