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SSSSS [86.1K]
3 years ago
11

Given that Fx)=x2-4 and g(x) = 1- x, find (f - g)(2), if it exists.​

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Replace x with 2 in each equation, then subtract g from f:

f(x) = x^2 -4 = 2^2 -4 = 4-4 = 0

g(x) = 1-x = 1-2 = -1

f-g = 0 - -1 = 1

The answer is 1

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A watermelon is launched from a 25-foot tall platform at a carnival. The watermelon's height h (in feet) at time t seconds can b
Nataly [62]

Answer:

The maximum height of the watermelon is 74 feet.

Step-by-step explanation:

The watermelon reaches its maximum height when its velocity is zero. Mathematically speaking, velocity is the first derivative of the function height, that is:

v(t) = \frac{d}{dt} h(t) (1)

Where v(t) is the velocity, in feet per second.

If we know that h(t) = -16\cdot t^{2}+56\cdot t +25 and v(t) = 0\,\frac{ft}{s}, then the time associated with maximum height is:

v(t) = -32\cdot t +56 (2)

-32\cdot t + 56 = 0

t = 1.75\,s

Now we evaluate the function height at time found in the previous step: (t = 1.75\,s)

h(t) = -16\cdot t^{2}+56\cdot t +25

h(1.75) = 74\,ft

The maximum height of the watermelon is 74 feet.

5 0
3 years ago
You and 3 friends are going to the County Fair.
FromTheMoon [43]

Answer:

$120

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Since after $20 coupon, the price become $100, then before it was

(20 + 100) = $120

Thenks and mark me brainliest :)

8 0
3 years ago
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