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3 years ago

PLS HELP WILL MARK BRAINLIEST. IF GOTTEN RIGHT SHOW WORK

Mathematics

1 answer:

zalisa [80]3 years ago

3 0

9514 1404 393

Answer:

12 feet

Step-by-step explanation:

You seem to have a few of these, so let's find a generic solution.

The vertex form of a quadratic equation is ...

f(x) = a(x -h)² +k

When we expand that, we get ...

f(x) = a(x² -2hx +h²) +k = ax² -2ahx +ah² +k

Comparing this to your standard form quadratic ...

h(t) = -16t² +vx +s

we can see that ...

a = -16
-2ah = v
ah² +k = s

Solving for h and k, we get ...

(-2)(-16)h = v

h = v/32

and

k = s -ah² = s -(-16)(v/32)²

k = s +v²/64

So, the generic solution for these problems is ...

h = time to maximum height = v/32

k = maximum height = s +v²/64

This problem asks for the maximum height, which will be ...

s +v²/64 = 3 +24²/64 = 3 +9 = 12 . . . . feet

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Missing part of the question

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Answer:

$2z + b \le 9$

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Step-by-step explanation:

Given

$Flour = 15$

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Since there are enough of other ingredients, we will only consider the amount of eggs and cups of flour.

So, we have:

Zucchini Bread

$Egg = 2$

$Flour = 2$

Banana Bread

$Egg = 1$

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For the eggs

The ratio of eggs to use in the Zucchini bread to Banana bread is:

$Egg = 2$ (z) : $Egg = 1$ (b)

This gives:

$2z + 1b$

The total number of eggs cannot exceed 9.

So, the inequality is:

$2z + 1b \le 9$

$2z + b \le 9$

For the flours

The ratio of flours to use in the Zucchini bread to Banana bread is:

$Flour = 2$ (z) : $Flour = 3$ (b)

This gives:

$2z + 3b$

The total cups of flours cannot exceed 15.

So, the inequality is:

$2z + 3b \le 15$

Hence:

The system of inequalities is:

$2z + b \le 9$

$2z + 3b \le 15$

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