What were the two whole numbers?

Mathematics

1 answer:

kumpel [21]3 years ago

6 0

Answer:

Ah, this is an example of the distribution property, as you would need to distribute the 5 to the 8 and 3. Here's the step-by-step process:

$5(8+3)$

Let's first multiply the 5 and 8

$5(8)=40$

Now, the 5 and 3

$5(3)=15$

We now have two whole numbers, and therefore our answer:

40 + 15

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The function h(t) = -16t2 + 48t + 28 models the height (in feet) of a ball where t is the time (in seconds).

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Answer:

Step-by-step explanation:

[using calculus] When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have $h'(t) = -32t + 48$ , which equals zero when $t = 3/2 = 1.5$ . The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

[without calculus] This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.