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2 years ago

For f(x) = 4x + 2 and g(x) = x^2 - 6, find (f+g)(x)

Mathematics

1 answer:

Margaret [11]2 years ago

3 0

Answer:

$(f+g)(x) = x^2 + 4x - 4$

Step-by-step explanation:

We are given these following functions:

$f(x) = 4x + 2$

$g(x) = x^2 - 6$

(f+g)(x)

We add the common terms. Thus:

$(f+g)(x) = f(x) + g(x) = 4x + 2 + x^2 - 6 = x^2 + 4x + 2 - 6 = x^2 + 4x - 4$

Thus:

$(f+g)(x) = x^2 + 4x - 4$

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In the figure below, p ||q. <br> find m 7 if m 8=116°

Serjik [45]

Answer:

m∠7 = 64°

Step-by-step explanation:

∠7 and ∠8 are supplementary meaning they add up to 180°.

m∠7 + m∠8 = 180°

m∠7 + 116° = 180°

m∠7 = 64°

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3 years ago

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What is 82% of $5.00? Is the answer going to be more or<br> less than $2.50, Why?

ArbitrLikvidat [17]

Answer:

Part A) 82% of $5.00 is $4.10.

Part B) Less, because $5.00 is 2x as much as $2.50, therefore anything over 50% would be less, and anything under would be more.

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2 years ago

Complete the square to re-write the quadratic function in vertex form: y=x2-x+3

Anna [14]

Answer:

Step-by-step explanation:

hello :

note : the vertex form is :

ax²+bx+c = a(x+(b)/(2a))²- delta/4a² and delta = b²- 4ac

in this exercice you have : a =1 b = -1 and c= 3

continu ..........

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2 years ago

The area of a rectangle is 27ft squared, and the length of the rectangle is 3ft less than twice the width. Find the dimensions o

oksano4ka [1.4K]

Answer:

width =4.5ft

length=6ft

Step-by-step explanation:

w = x

L = 2x-3

area = L*w

27 = x(2x-3)

$27=2x^{2} -3x$

$2x^{2} -3x-27=0$

$2x^{2} +6x-9x-27=0$

2x(x+3)-9(x+3)=0

(2x-9)(x+3)=0

2x-9=0

2x=9

x=9/2

x=4.5

L=2x-3=2*4.5-3 =9-3=6

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3 years ago

Marla bought 12 books at a garage sale. Some of them were hardback and the rest were paperback. She paid $0.50 for each paperbac

olga nikolaevna [1]

Answer: The number of books bought were 9 paperbacks and 3 hardbacks

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence let the hardback be called h, while the paperback shall be called p.

If Marla bought 12 books at the garage sale, that means she bought

h + p = 12 ------(1)

Then she paid 0.5 dollars for paperback and 0.75 dollars for hardback and the total spent was 6.75 dollars for all of them, then we can express these as follows;

0.5p + 0.75h = 6.75 ------(2)

We now have a pair of simultaneous equations which are

h + p = 12 ------(1)

0.5p + 0.75h = 6.75 ------(2)

From equation (1), make h the subject of the equation,

h = 12- p

Substitute for h into equation (2)

0.5p + 0.75(12 - p) = 6.75

0.5p + 9 - 0.75p = 6.75

0.5p - 0.75p = 6.75 - 9

-0.25p = -2.25

Divide both sides of the equation by -0.25

p = 9

Now, substitute for p into equation (1)

h + p = 12

h + 9 = 12

Subtract 9 from both sides of the equation

h = 3

Therefore Marla bought 9 paperbacks and 3 hardbacks

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3 years ago

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