3 years ago

F(x) = 2x + 6, g(x) = 4x2 Find (f + g)(x).

1 answer:

5 0

(f+g)(x) is simply saying add these two problems together.

(2x+6) + (4x^2)

Parenthesis are now useless, as there is only addition.

2x + 6 + 4x^2

Reorder, cause it's pretty and familiar

4x^2 + 2x + 6

We could further simplify

2(2x^2 + x + 3)

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a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th

Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

A positive number is 7 times another number:

a = 7b

If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:

a+3 = 5/2 × (b +3)

To solve this we substitute a with 7b in the second equation:

7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
14b + 6 = 5b + 15 ⇒ collecting like terms
14b - 5b = 15 - 6
9b = 9
b = 1 ⇒ solved for b

Then, finding a:

a= 7b
a=7*1
a= 7 ⇒ solved for a

So the numbers are 7 and 1

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3 years ago

What is the slope of the line that contains the point ( -2, 7) and (2,3)

xz_007 [3.2K]

The slope is 1. The picture will show you why.

8 0

3 years ago

$150 for repair, $50 per week after repair to operate. X=#of weeks and y=total cost. Equate using slope-intercept form

Cloud [144]

Answer:

y=150+50x

Step-by-step explanation:

Given data

Repair= $150

weekly charge = $50

X=#of weeks and y=total cost.

Hence the expression in slope-intercept form is

y=150+50x

8 0

3 years ago

Sarah baby-sits her cousins once a week. She gets paid $10 per hour and she includes a travel fee. if she baby-sat for 5 hours a

likoan [24]

22$......................

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3 years ago

How do you write 2.3 x 103 in standard form?

Misha Larkins [42]

Answer:

2300

Step-by-step explanation:

$2.3 \times {10}^{3} \\ \\ = 2.3 \times 1000 \\ \\ = 2300$

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2 years ago