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Inessa05 [86]
2 years ago
13

Surface area triangle prism 3in ,3in ,3in 2.6 in, 7 in

Mathematics
1 answer:
vodka [1.7K]2 years ago
6 0

Answer:

The answer is 70.8

Step-by-step explanation:

You do 7x3 times 2 and then 3x2.6 and then 7x3 again. You add them all up and get 70.8

21 + 21 + 3.9 + 3.9 + 21 = 70.8

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The height 'h' (in feet) of a ball in a baseball game can be modeled by h = -16t² + 28t + 8 , where 't' is the time (in seconds)
lidiya [134]

Answer:

  a)  No. t < 0 is not part of the useful domain of the function

  b) 2.0 seconds

Step-by-step explanation:

a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.

__

b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.

  h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0

  0 = -4(4t² -7t -2) = -4(4t +1)(t -2)

This has t-intercepts where the factors are zero, at t=-1/4 and t=2.

The ball will hit the ground after 2 seconds.

4 0
3 years ago
Find the indicated function values for the function f(x) = 3x² + 2x - 6.
Mariulka [41]

The function values for the function f(x) = 3x² + 2x - 6, for the values are:

a. f(0) = -6

b. f(2) = 10

c. f(-4) = 34

d. f(b) = 3b² + 2b - 6

e. f(4a) = 48a² + 8a - 6

<h3>How are function values calculated?</h3>

To calculate function value f(k) for a function f(x), we substitute variable x = k, in the function f(x).

<h3>How to solve the question?</h3>

In the question, we are asked to find the function value for the function f(x) = 3x² + 2x - 6 for:

a. f(0)

b. f(2)

c. f(-4)

d. f(b)

e. f(4a).

We calculate these in the following ways:-

a. f(0):

We substitute the value of x = 0 in the function f(x).

Therefore f(0) = 3(0)² + 2(0) - 6,

or, f(0) = 0 + 0 - 6 = -6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>-6</u>.

b. f(2):

We substitute the value of x = 2 in the function f(x).

Therefore f(2) = 3(2)² + 2(2) - 6,

or, f(2) = 12 + 4 - 6 = 10.

Therefore, the function value f(2) for the function f(x) = 3x² + 2x - 6 is <u>10</u>.

c. f(-4):

We substitute the value of x = -4 in the function f(x).

Therefore f(-4) = 3(-4)² + 2(-4) - 6,

or, f(-4) = 48 - 8 - 6 = 34.

Therefore, the function value f(-4) for the function f(x) = 3x² + 2x - 6 is <u>34</u>.

d. f(b):

We substitute the value of x = b in the function f(x).

Therefore f(b) = 3(b)² + 2(b) - 6,

or, f(b) = 3b² + 2b - 6.

Therefore, the function value f(b) for the function f(x) = 3x² + 2x - 6 is <u>3b² + 2b - 6</u>.

e. f(4a):

We substitute the value of x = 4a in the function f(x).

Therefore f(4a) = 3(4a)² + 2(4a) - 6,

or, f(0) = 48a² + 8a - 6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>48a² + 8a - 6</u>.

Learn more about finding function values at

brainly.com/question/27943419

#SPJ2

4 0
2 years ago
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