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IgorLugansk [536]
2 years ago
6

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

Mathematics
1 answer:
jek_recluse [69]2 years ago
6 0

Answer:

3x³ + 13x² + 14x

Step-by-step explanation:

(f × g)(x)

= f(x) × g(x)

= (x + 2)(3x² + 7x)

= x(3x² + 7x) + 2(3x² + 7x) ← distribute parenthesis

= 3x³ + 7x² + 6x² + 14x ← collect like terms

= 3x³ + 13x² + 14x

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Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...
Readme [11.4K]

Answer:

1183

Step-by-step explanation:

Common difference:

d = 31 - 15 = 16

nth term:

a_n = a_1 + (n - 1)d

Here, a_1 = -1

a_{75} = -1 + (75 - 1)(16)

a_{75} = 1183

3 0
2 years ago
HELPPPPP
OlgaM077 [116]

Answer:

Point on Midline (0,3)

Maximum (9π/2,3)

Minimum (-9π/2,-3)

Step-by-step explanation:

in the given sine function which is in the form of f(x) = a sin(bx+c) +d

a = amplitude

period = frequency = 18π

Therefore b = 2π/18π = 1/9

Y intercept = vertical shift = 3

Horizontal shift = d = 0

Therefore the sine function will be

f(x) = 6 sin(x/9) + 3

Now first point on the midline is (0,3)

Second point is maximum (9π/2,9)

Third point be a minimum value ( -9π/2,-3)

7 0
2 years ago
Can someone help please
Elis [28]

Answer:

Alternate

Step-by-step explanation:

Because, as you can see, it is alternating

4 0
3 years ago
The sum of twice a number and five is greater than three times the number minus three.
AnnZ [28]

Answer:

x<8

Step-by-step explanation:

2x+5>3x-3

2x+8>3x

8>x

5 0
2 years ago
Read 2 more answers
How much will Ashley’s plan cost for the same number of texts as when Jumel’s costs $75? Show your work and write your answer in
ELEN [110]

Answer: In order to begin figuring that out, we need to know how both of their plans work.

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3 years ago
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