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Harrizon [31]
3 years ago
6

Given f(x)=4x2−5 and g(x)=x+3 . What is (fg)(x) ?

Mathematics
2 answers:
kozerog [31]3 years ago
7 0
I just took the test, it was A. 4x^3+12x^2-5x-15 :)
vova2212 [387]3 years ago
7 0

Answer:

(fg)(x)=4x^3+12x^2-5x-15

First option is correct.

Step-by-step explanation:

We have been given that

f(x)=4x^2-5

g(x)=x+3

We know that (fg)(x)=f(x)g(x)

Hence, we have to find the product of f(x) and g(x)

(fg)(x)=(4x^2-5)(x+3)

Apply distributive property

(fg)(x)=4x^2\cdot x+4x^2\cdot3-5x-5\cdot3

Simplifying, we get

(fg)(x)=4x^3+12x^2-5x-15

First option is correct.

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A car, initially at rest, accelerates at 2 meters/s/s. assuming the car starts from rest, how far will it travel in 10 s?
MrRa [10]
We shall use the formula for distance traveled:
s = ut + (1/2)at^2
where
u = initial velocity
t = time
a =  acceleration.

Because
u = 0 (car starts from rest),
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a = 2 m/s^2 (acceleration), m
the di mstance traveled is
s = (1/2)*(2 m/s^2)*(10 s)^2 = (1/2)*2*100 = 100

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8 0
3 years ago
What is the upper bound and lower bound for 35.7
stepladder [879]

Answer:

tried.. sry if it is wrong...

Step-by-step explanation:

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7 0
3 years ago
Dante bought a new graduated cylinder for his chemistry class. It holds 1,345.6 milliliters of liquid. If the cylinder has a rad
pentagon [3]
The formula for a cylinder's volume  is
V = π r² h
V = 1345.6
π = 3.14
r = 5.8 cm

1345.6 = 3.14 * 5.8^2 h Multiply 3.14 and 5.8^2 together.
1345.6 = 105.6 h  Divide by 105.6
1345.6 / 105.6 = h
h = 12.73 cm <<<< answer.
 I don't see anything wrong with what I've done but I don't see the answer anywhere. Estimating 1345 can be rounded to 1300. 
pi * 5.8^2 = 3 * 35 = 105 which we could round to 100.

1300 / 100 about = 13 So the answer should be in the region of 100.

I cannot see any reason to believe there is an error. If there is something that has not been copied correctly, I'd like to know what it is.

 
7 0
3 years ago
Examine the following steps. Which do you think you might use to prove the identity Tangent (x) = StartFraction tangent (x) + ta
Over [174]

Answer:

The correct options are;

1) Write tan(x + y) as sin(x + y) over cos(x + y)

2) Use the sum identity for sine to rewrite the numerator

3) Use the sum identity for cosine to rewrite the denominator

4) Divide both the numerator and denominator by cos(x)·cos(y)

5) Simplify fractions by dividing out common factors or using the tangent quotient identity

Step-by-step explanation:

Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;

tan(x + y) = sin(x + y)/(cos(x + y))

sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))

(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))

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∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)

6 0
3 years ago
Read 2 more answers
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Lunna [17]

Answer:

24

Step-by-step explanation:

Because the C represents the 4 let 24 represent the answer.

8 0
2 years ago
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