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2 years ago

Hi, I need help with equations :D

Mathematics

1 answer:

lana [24]2 years ago

8 0

3(3) - (-8)/4 = 9 + 2 = 11 so (3,-8) is solution

3(4) - 4/4 = 12 - 1 = 11 so (4,4) is solution

answer
C. both ordered airs are solutions

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⅜

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3 years ago

A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec

STALIN [3.7K]

Answer: Maximum height = 105 feet

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Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

$h(t) = -16t^2 + 72t + 24$ --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get, $h'(t) = -32 t + 72$

Again differentiating above equation with respect to t,

We get, $h''(t) = -32$

For maximum or minimum, $h'(t) = 0$

$- 32 t + 72 = 0$

$32 t = 72$

$t = \frac{9}{4}$

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

$h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -81 + 162 + 24=105$

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2 years ago

On a six-sided number cube, what is the probability that you will roll a number less than 4?

patriot [66]

Answer: 1/3

Step-by-step explanation:

Since greater than 4 is 2/3

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2 years ago