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Yuliya22 [10]
3 years ago
5

F(x) = a(x - h)power of 3 + k   please describe what a, h and k do within our function. 

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

F(x) = a(x - h)³ + k

The parent graph is F(x) = x³

k - shifts the parent graph up k-units (or down if it is negative).  This is also called a vertical shift.

h - shifts the parent graph to the right h-units (or left if it is negative).  This is also called a horizontal shift.

a - stretches the parent graph vertically by a factor of "a"

Additonally, the coordinate (h, k) is the center/vertex of the graph.


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Rectangular prism A measures 2 inches by 7 inches by 8 inches. Rectangular prism B measures 1 inches by 5 inches by 10 inches.
satela [25.4K]

The Volume for Rectangular prism A is 172 inches², Volume = 112 inches³

Surface Area to Volume Ratio = 43/28

<h3>Mensuration of Solids</h3>

Given Data

Rectangular prism A

Length = 2 inches

Width = 7 inches

Height = 8 inches

Surface Area

A=2(wl+hl+hw)

A=2(7*2+8*2+8*7)

A=2(14+16+56)

A= 172 inches²

Volume

Volume = L*W*H

Volume = 2*7*8

Volume = 112 inches³

Surface Area to Volume Ratio

= 172/112

= 43/28

Learn more about Mensuration of Solids here:

brainly.com/textbook-solutions/q-7-composite-figures-use-diagram-backpack-right

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7 0
1 year ago
Out of 230 racers who started the marathon,
schepotkina [342]

Answer:

6.96%

Step-by-step explanation:

Assuming that the total number of races who did not finish the race are the ones who gave up and were disqualified:

(14+4)/230 = 0.06957

convert to percentage 0.06956*100= 6.957%

8 0
3 years ago
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
Alisiya [41]

Answer:

x ≈ 9.5 , y ≈ 15.3

Step-by-step explanation:

sin32° = \frac{opposite}{hypotenuse} = \frac{x}{18} ( multiply both sides by 18 )

18 × sin32° = x , then

x ≈ 9.5 ( to the nearest tenth )

cos32° = \frac{adjacent}{hypotenuse} = \frac{y}{18} ( multiply both sides by 18 )

18 × cos32° = y , then

y ≈ 15.3 ( to the nearest tenth )

5 0
2 years ago
7. What percent of 75 is 27?
alexira [117]

Answer:

36 %

Step-by-step explanation:

x% = x/100

27/75 = x/100

100 · 27/75 = 100 · x/100

2700/75 = x

36 = x

36%

5 0
3 years ago
Read 2 more answers
John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel.
dezoksy [38]

Answer:

114 plus 3 = 117 (one-third of the novel)

117 x 3 = p = 351 (entire novel)

 

5 0
3 years ago
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