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vazorg [7]
3 years ago
13

F(x) = –2x2 + 4x and g(x) = x2 + 18x + 77. What is (f•g)(x) in standard form?

Mathematics
1 answer:
Vikki [24]3 years ago
7 0

Step-by-step explanation:

I take it this is meant to be a multiplication, right ?

not a "function of function", which would be symbolized by a little empty circle.

to multiply 2 function means basically the same as to add, subtract or divide 2 functions : to apply the arithmetic operation in both expressions.

(f×g)(x) = (-2x² + 4x)(x² + 18x + 77) =

= -2x⁴ - 36x³ - 154x² + 4x³ + 72x² + 308x =

= -2x⁴ - 32x³ - 82x² + 308x

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The length of a rectangle is 15ft greater than the width. The area is 100 square ft. Find the length and the Width.​
gogolik [260]

Step-by-step explanation:

so let's say that the width is x then the length is x+15

and the area of a square is length times width

x(x+15)=100

x^2+15x-100=0

(x+20)(x-5)=0

x=5 or x=-20 but a side length can't be negative so x would equal 5

Length=x+15 with 5 as x

Length=20

Width=5

Hope that helps :)

7 0
3 years ago
Read 2 more answers
Lynn bought a box of 45 cards for $42.75 how much did each card cost?
pav-90 [236]

Divide the amount of money with the amount of cards.

42.75/45 = 0.95

Each card costs $0.95

hope this helps

6 0
3 years ago
(n^3 +67² + 4n - 2)/(n + 1)
Alla [95]

Answer:

(n^3 + 4 n + 4487)/(n + 1)

Step-by-step explanation:

Simplify the following:

(n^3 + 4 n - 2 + 67^2)/(n + 1)

| | 6 | 7

× | | 6 | 7

| 4 | 6 | 9

4 | 0 | 2 | 0

4 | 4 | 8 | 9:

(n^3 + 4 n - 2 + 4489)/(n + 1)

Grouping like terms, n^3 + 4 n - 2 + 4489 = n^3 + 4 n + (4489 - 2):

(n^3 + 4 n + (4489 - 2))/(n + 1)

4489 - 2 = 4487:

Answer: (n^3 + 4 n + 4487)/(n + 1)

5 0
3 years ago
Can someone plz help me
Aleonysh [2.5K]

Answer:

C

Step-by-step explanation:

It makes sense

4 0
3 years ago
The sum of two integers is 66. The larger is 12 less than five times the smaller. Find the two integers
VikaD [51]

Answer:

13 and 53

Step-by-step explanation:

First Integer: x

Larger integer: 5x-12

66=x+(5x-12)

66= x+5x-12

66=6x+12

78=6x

13=x

First Integer: 13

Larger Integer: 13*5-12= 65-12=53

Check Work:

13+53=66

4 0
3 years ago
Read 2 more answers
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