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4 years ago

G(n) = 3n - 3f(n) = 2n - 4Find g(-3) f(-3)

Mathematics

1 answer:

dlinn [17]4 years ago

4 0

Answer:

G(-3) = -12, and F(-3) = -10.

Step-by-step explanation:

G(n) = 3n - 3

G(-3) = 3(-3) - 3, which is equivalent to -9 - 3, or -12.

F(n) = 2n - 4

F(-3) = 2(-3) - 4, which is equivalent to -6 - 4, or -10.

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The probability that it'll rain tomorrow in Ohio is 30%

VLD [36.1K]

It raining in Alaska and raining in Ohio are independent events. One does not control the other or affect the other in any way.

For two independent events (let's call them A and B), the Probability of A and B both occurring is given by P(A and B) = P(B) x P(B).

For this problem, let A = rain in Ohio and B= rain in Alaska.

P(A and B) = P(A) x P(B)
$\frac{12}{100} =(P(A))( \frac{3}{10} )
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3 years ago

The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

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3 years ago

Solve each equation by graphing. round to the nearest tenth.2x^2+5=11x

Lesechka [4]

Answer:

Step-by-step explanation:7

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2 years ago

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3 years ago

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3 years ago

G(n) = 3n - 3f(n) = 2n - 4Find g(-3) f(-3)​

G(n) = 3n - 3f(n) = 2n - 4Find g(-3) f(-3)