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3 years ago

If f(x) = 2x - 6 and g(x) = 3x + 9, find (f - g)(x).

Mathematics

2 answers:

nataly862011 [7]3 years ago

8 0

$(f-g)(x)=2x-6-(3x+9)=2x-6-3x-9=-x-15$

Black_prince [1.1K]3 years ago

4 0

Answer:

The correct option is C.

Step-by-step explanation:

The correct option is C.

We have given:

f(x) = 2x - 6 and g(x) = 3x + 9

Now we have to find (f-g)(x)

(f-g)(x) = f(x)- g(x)

Now subtract g(x) from f(x)

(2x - 6) - (3x + 9)

Open the parenthesis. When we open the parenthesis the signs of second bracket will become negative because there is a negative sign outside the bracket.

(f-g)(x)= 2x-6-3x-9

Now solve the like terms:

(f-g)(x)= -x-15

Thus the correct option is C....

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Dennis_Churaev [7]

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RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly

tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

$C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120$

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3 years ago

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Step-by-step explanation:

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7 0

3 years ago

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STatiana [176]

Answer:

The slope is 4

Step-by-step explanation:

First we pick 2 points (x, y):

(0, -2) and (1, 2)

Then, we use the slope (m) formula:

m = (y2 - y1)/(x2 - x1)

Given:

y2 = 2

y1 = -2

x2 = 1

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2 years ago

1. Find the volume of a cone with a diameter of 14 cm and a height of 25 cm.

slega [8]

Answer:

V≈1282.82

Step-by-step explanation:

V=πr^2h

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3≈1282.817

8 0

3 years ago