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4 years ago

12

I need to find the Horizontal and Vertical Intercepts. Will mark brainliest!!

1 answer:

Firlakuza [10]4 years ago

8 0

Answer:

vertical intercept is another word for y intercept and horizontal intercept is another word for x intercept so for this problem, looking at the graph, the y intercept is (0,0) and the x intercept is (-2,0) though (0,0) could pass of as a second x intercept. But its safe to just go with (-2,0) as the x intercept while y intercept is (0,0)

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The sum of two numbers is 12. The difference of the same two numbers is 24. what is the larger of the two numbers

Vsevolod [243]

ANSWER

The larger number is 18

<u>EXPLANATION</u>

Let x be the larger number and y be the smaller number.

Then,

$x+y=12--(1)$

$x-y=24--(2)$

Let us add equation (1) and (2).

$2x=36$

Divide through by 2

$x=18$

Put $x=18$ in to equation (1).

This implies that,

$18=y=12$

$y=12-18=-6$

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3 years ago

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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

And, It takes 9/4 seconds to reach that point.

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,

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

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

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

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

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3 years ago

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erik [133]

Answer:

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3 years ago

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