The function g(x) is described in the table below what is g(0)+g(4)?

Mathematics

2 answers:

WITCHER [35]3 years ago

6 0

Answer:

- 9

Step-by-step explanation:

g(0) = - 5 ← value of g(x) when x = 0

g(4) = - 4 ← value of g(x) when x = 4

Then

g(0) + g(4) = - 5 + (- 4) = - 5 - 4 = - 9

Ksivusya [100]3 years ago

3 0

Let's take a look at our table here in order to solve the problem. We need to know what g(0) and g(4) are to be able to solve.

Since we are plugging in x-values and looking for y-values, we simply need to find 0 and 4 on the left side of the table (the x side), and then find their corresponding g(x), or y, values.

g(0) = -5

g(4) = -4

Now, all that's left to do is add these two values.

-5 + -4

-9

Hope this helps!! :)

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These are the main data: the T-shirt starts at a height of 8 feet when it leaves the cannon and 1 second later reaches a maximum height of 24 feet


So, f(0) = 8 feet and f(1) = 24 feet

That means, that you can evaluate the functions at t = 0 and t = 1 to see which represents those two points, (0, 8) and (1, 24).

A: f(t) = –16(t – 1)^2 + 24

t = 0 => f(0) = - 16 (0 – 1) ^2 + 24 = -16 + 24 = 8 => This is Ok.

t =1 => f(1) = - 16 (1 – 1)^2 + 24 = 0 + 24 => This is Ok.

B: f(t) = –16(t + 1)^2 + 24

t = 0 => f(0) = -16 (0 + 1)^2 + 24 = - 16 + 24 = 8 => this is Ok

t = 1 => f(1) = -16 (1 + 1)^2 + 24 = -16(4) + 24 = - 64 + 24 = - 40 => Wrong

C: f(t) = –16(t – 1)^2 – 24

t = 0 => f(0) = -16 (0 – 1)^2 - 24 = -16 – 24 = - 40 => Wrong

D: f(t) = –16(t + 1)^2 – 24

t = 0 => f(0) = - 16 (0 + 1)^2 – 24 = -16 – 24 = - 40 => Wrong

With tha we have obtained that the answer is the option A.