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White raven [17]
3 years ago
12

F(x) = 3x^2 -15 g(x) = 1 -2/3x

Mathematics
1 answer:
Oliga [24]3 years ago
8 0

Answer:

f(g(-6)) is equal to 60

Step-by-step explanation:

We can simply solve this by first plugging -6 into function 6, and then applying function f to the result of that.

f(g(-6))\\= f(1 - \frac{2(-6)}{3})\\= f(1 - \frac{-12}{3})\\\\= f(1 + 4)\\= f(5)\\= 3(5)^2 - 15\\= 3 * 25 - 15\\= 75 - 15\\= 60

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Henry says he can write an 8 in each box to make both equations true. Is he correct?
Rama09 [41]

Answer:

yes it's true because 3 groups of 8 is 24

4 0
3 years ago
A game has a spinner with 12 equal sectors labeled 1 through 12.
victus00 [196]

Answer:multiple of 3

Step-by-step explanation:

12 is a multiple of 3 so 3 is the Awnser

4 0
2 years ago
Read 2 more answers
With a family bowling pass, families can bowl for $4 per game . The pass cost $10 per year. Use equation , a table and a graph t
Klio2033 [76]

Answer:

Part a) a=4g+10 (see the explanation)

Part b) see the explanation

Part c) The graph in the attached figure

Step-by-step explanation:

<u><em>The complete question is</em></u>

With a family bowling pass, families can bowl for $4 per game. The pass costs $10 per year. Use an equation, a table, and a graph to explain the relationship between the total amount of money spent on bowling in a year, a, and the number of games a family plays in a year, g. Part A Use words and an equation to represent this problem. Part B Create a table to show values for g and a. Part C Use the values from your table to draw a graph.

Part A) Use words and an equation to represent this problem

Let

a ----> the total amount of money spent on bowling in a year

g ---> the number of games a family plays in a year

we know that

The linear equation in slope intercept form is equal to

a=mg+b

where

m is the slope or unit rate

b is the a-intercept or initial value

In this problem we have

m=\$4\ per\ game

b=\$10

substitute

a=4g+10

Part b) Create a table to show values for g and a

Assume different values of g and calculate the corresponding values of a

For g=0 ----> a=4(0)+10=\$10

For g=1 ----> a=4(1)+10=\$14

For g=2 ----> a=4(2)+10=\$18

For g=3 ----> a=4(3)+10=\$22

For g=4 ----> a=4(4)+10=\$26

The table is

\left[\begin{array}{ccc}g&a\\0&10\\1&14\\2&18\\3&22\\4&26\end{array}\right]

Part c) Use the values from your table to draw a graph

we have the ordered pairs

(0,10),(1,14),(2,18),(3,22),(4,26)

Plot the ordered pairs and join them to graph the line

The graph in the attached figure

6 0
3 years ago
Determine the possible side lengths of the third side of a triangle with known side lengths 3 and 6. answers: –3 &lt; c &lt; –9
vovangra [49]

Answer:

3 < c < 9

Step-by-step explanation:

The length of a side of a triangle cannot be negative. This eliminates the first and last options.

The addition of two sides of a triangle must be greater than the third side. In this case:

3 + 6 = 9 > c

So, the second option is correct. The third option is not correct, because, for example, c = 8 is possible

4 0
3 years ago
The inequality x &lt; 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible v
Elodia [21]

Answer:

$11, $13, $14

Step-by-step explanation:

all of those answers are greater than $9 but less than or equal to $14.

7 0
3 years ago
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