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3 years ago

Assume f(x) = g(x). Which of the following two functions may be used to represent the function 3x = x – 4? *

1 answer:

8 0

Since we know that the two functions are equal, f (x) = g (x), therefore when we equate the two equations the result should be similar to 3x = x – 4:

A. f(x) = 3x, g(x) = x – 4

Equating the two functions:

3x = x – 4 (correct)

So we now got our answer (A)

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In her first 20 games, Jennie served 4 aces. If she continues to serve aces at this rate, how many aces will she have after 160

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

The percent of decrease time can be written as the expression $\frac{200}{200}-\frac{198}{200} = \frac{2}{200}.$ Now, we convert the fraction into a decimal: $\frac{2}{200} = \frac{1}{100} = 0.01.$ We can convert this decimal into a percentage: 0.01*100 = 1%.

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3 years ago

The volume of the rectangular solid below is 1,440 cubic inches. What could be the length and width of this rectangular solid?

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C. 8 inches by 20 inches

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3 years ago

There is a competition in the cinema to win free tickets. You must guess the ages of the four employees. Here are the clues: - W

jenyasd209 [6]

Answer:

Kirk is 28 years old, Brian is 36 years old, Matt is 18 years old, and the manager is 24 years old.

Step-by-step explanation:

Let $k$ be Kirk's age.

Let $b$ be Brian's age.

Let $m$ be Matt's age.

Let $m_{1}$ be the boss/manager's age.

From the information given, we can set up 4 equations:

$k+b+m+m_{1}=106$

$k=2(m_{1}-10)$

$b=2m_{1}-12$

$m=\frac{1}{2}m_{1}+6$

Rewrite the first equation, substituting $k$ , $b$ , and $m$ in terms of $m_{1}$ to get:

$2(m_{1}-10)+(2m_{1}-12)+(\frac{1}{2}m_{1}+6)+m_{1}=106$

Open up the parentheses using the distributive property (which is $a(b-c)=ab-ac$ ) and combine like terms to get:

$5.5m_{1}-26=106$

Add 26 to both sides to reach:

$5.5m_{1}=132$

Thus, $m_{1}=24$ . Substitute $24$ for $m_{1}$ in the second, third, and fourth original equations to find that $k=28$ , $b=36$ , and $m=18$ . Therefore, Kirk is 28 years old, Brian is 36 years old, Matt is 18 years old, and the manager is 24 years old. To check, you can add up all of the ages to get 106.

Hope this helps :)

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2 years ago