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2 years ago

If fx = 2x^2 + 3 and g(x) = x^2 - 7 find (f - g) (x)

Mathematics

1 answer:

Semmy [17]2 years ago

3 0

(f-g) (x) means to subtract g(x) from f(x)

F(x) = 2x^2 +3

g(x) = x^2

This becomes:

2x^2 + 3 - x^2 = x^2 +3

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Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts

Mashutka [201]

Answer:

20 fence posts.

Step-by-step explanation:

Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts 2 feet apart.

Now, if he puts a fence post at each corner of the building, then considering each length of the building there will be $(\frac{10}{2} + 1) = 6$ posts along each length.

Now, considering each width of the building there will be $(\frac{10}{2} - 1) = 4$ posts (excluding the corner posts) along each width.

Therefore, in total there will be (6 + 6 + 4 + 4) = 20 fence post in the total fence. (Answer)

5 0

2 years ago

RS = 4x – 9, ST = 19, RT = 80 – 14 Equation: 82 – 14 RS RT

algol13

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34

4 0

3 years ago

Determine the vertex of the quadratic function.

const2013 [10]

Answer:

Step-by-step explanation:

The vertex is the turning point of the quadratic function.

In this case it lies on the x- axis at (2, 0 ) → B

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to (4^5/4 4^1/4/4^12)^1/2

vitfil [10]

Answer:

43 2/3

Step-by-step explanation:

8 0

2 years ago

the length of a rectangle is 2 times in width if the perimeter of the rectangle is 36 in find its length and width

Basile [38]

Answer:

Length=12 inches Width=6 inches

Step-by-step explanation:

X can stand for the width. 2x can stand for the length since it is twice the width. The perimeter would then equal 6x. 6x is equal to 36. Divide by 6 to isolate x. X equals 6 inches. So twice the width would be 12 inches.

8 0

2 years ago