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tangare [24]
3 years ago
5

For f(x) = 3x + 1 and g(x) = x^2 - 6, find (f-g) (x)

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

  B. -x^2 + 3x + 7

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (3x +1) - (x^2 -6) . . . . substitute the functions

= 3x +1 -x^2 +6 . . . . . . . eliminate parentheses; next, collect terms

= -x^2 +3x +7 . . . . . matches choice B

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21. The area of a triangle with a base of 12<br> cm and a height of 9.6 cm
Nastasia [14]
The equation for area of a triangle is A= 1/2bh so a=1/2(12cm)(9.6cm)
4 0
2 years ago
A store buys a jacket for 20.00$ and then sells it to customers for 80% more than that. What is the selling price of the jacket?
ra1l [238]

Answer:

100 + 80 = 180

20/100 X 180 = 36

selling price $36

5 0
3 years ago
Find the sine of angle S. Reduce the answer to the lowest terms.
NeX [460]

Answer:

\sin e\text{ S = }\frac{3}{5}

Explanation:

Here, we want to get the value of sine S

The sine of an angle is the ratio of the opposite side to the hypotenuse side

The hypotenuse side is the side that faces the right angle which is the small box. It is the longest side of the triangle and it measures 10

The opposite is the side that faces the angle which is 6

We have the sine as:

\frac{6}{10}\text{ = }\frac{3}{5}

8 0
1 year ago
Two events, A and B, are independent of each other. P(A) = 1/6 and P(A and B) = 1/8 What is P(B) written as a decimal? Round to
Leona [35]
P(B) = 0.75.

For independent events, P(A and B) = P(A)*P(B).  This gives us

1/8 = 1/6(x)

Divide both sides by 1/6:
1/8 ÷ 1/6 = x
1/8 × 6/1 = x
6/8 = x
3/4 = x
0.75 = x
5 0
3 years ago
Cone B is the image of cone A after dilation by a scale factor of \frac{1}{2}
Bogdan [553]

The surface area of cone B is 10 km², and Cone B is the image of cone A after dilation by a scale factor of 1/2

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Cone B is the image of cone A after dilation by a scale factor of 1/2, hence:

Surface area of cone B = 40 km² * (1/2)² = 10 km²

The surface area of cone B is 10 km², and Cone B is the image of cone A after dilation by a scale factor of 1/2

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
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