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3 years ago

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown. What is the function written in vertex form?

Mathematics

1 answer:

pychu [463]3 years ago

4 0

F(x) = 5(x + 4) – 80
f(x) = 5(x + 8) – 80
f(x) = 5(x + 4)2 – 80
f(x) = 5(x + 8)2 – 80

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Charlie knows that 3 blocks are needed to make a tower that is 0.5 foot high.

iogann1982 [59]

Answer:

24 blocks will be needed to make the tower that is 4 feet high

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Charlie knows that 3 blocks are needed to make a tower that is

0.5 foot high

∵ He needs to make a tower that is 4 feet high

→ By using the ratio method

→ Blocks : height (ft)

→ 3 : 0.5

→ x : 4

→ By using the cross multiplication

∵ x × 0.5 = 3 × 4

∴ 0.5x = 12

→ Divide both sides by 0.5 to find x

∵ $\frac{0.5x}{0.5}$ = $\frac{12}{0.5}$

∴ x = 24

∵ x represents the number of blocks

∴ 24 blocks will be needed to make the tower that is 4 feet high

7 0

3 years ago

An employee at a department store is stocking cell phone cases. He has a box of 80 cases. Among the 80 cases, 40 are black, 10 a

Salsk061 [2.6K]

Answer:

$\sf \dfrac{203}{4108}$

As a decimal = 0.05 (nearest hundredth)

Step-by-step explanation:

$\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}$

First pick:

$\sf \implies P(pink)=\dfrac{30}{80}$

As the case is NOT replaced, second pick:

$\sf \implies P(pink)=\dfrac{30-1}{80-1}=\dfrac{29}{79}$

As the case is NOT replaced, third pick:

$\sf \implies P(pink)=\dfrac{29-1}{79-1}=\dfrac{28}{78}$

Therefore,

$\sf \implies P(pink \ and \ pink \ and \ pink)=\dfrac{30}{80} \times \dfrac{29}{79} \times \dfrac{28}{78}=\dfrac{203}{4108}$

Answer as a decimal = 0.05 (nearest hundredth)

6 0

2 years ago

Given f(x) = 4x - 6, evaluate f(3). A. 2 B. 1 C.12 D. 6

Dima020 [189]

Answer:

Step-by-step explanation:

7 0

3 years ago

Last one, So so sorry!

zvonat [6]

C and D are the same, so its between A and B, which concludes your answer should be B

8 0

3 years ago

Read 2 more answers

Which of the following points lies in the l and ll quadrants.

meriva

Answer:

Quadrant I: (1,1), (4,3)

Quadrant II: (-2, 3), (-1, 1)

Step-by-step explanation:

Quadrant I points have positive x and y values. Quandrant II points have negative x values and positive y values.

5 0

3 years ago