If f(x) = 4x2 and g(x) = x+1, find (*•g)(x).

Answers

Answer 1
Answer:

Answer:

(f · g)(x) = 4x³ + 4x²

Step-by-step explanation:

(f · g)(x) = f(x) · g(x)

We have f(x) = 4x² and g(x) = x + 1. Substitute:

(f · g)(x) = (4x²)(x + 1)    use the distributive property

(f · g)(x) = (4x²)(x) + (4x²)(1)

(f · g)(x) = 4x³ + 4x²


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What is the greatest common factor of 35 and 63

Answers

The greatest common factor of 35 and 63 is,

⇒ 7

We have to given that;

Find the greatest common factor of 35 and 63.

Now, We can find LCM of number,

⇒ 35 = 7 × 5

⇒ 63 = 7 × 3 × 3

We know that;

The highest number that divides exactly into two more numbers, is called Greatest common factors.

Therefore, the greatest common factor of 35 and 63 is,

⇒ 7

Learn more about the Greatest common factors visit:

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Answer: 7

Step-by-step explanation: the answer is 7

ashley spent half of her weekly allowance playing mini golf. to earn more money her parents let her wash the car for $9. what is her weekly allowance if she ended with $15

Answers

If x is the weekly allowance 1/2x+9=15
1/2x=6
x=12
Her allowance is $12.

Mrs.simpson drove 105 miles in 2 1/2 hours. what was mrs.simpsons speed in miles per hour

Answers

The required, Mrs. Simpson's speed was 42 miles per hour.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
To find the speed (or velocity) in miles per hour, we need to divide the distance traveled (in miles) by the time taken (in hours).

Mrs. Simpson drove 105 miles in 2 1/2 hours, which can be written as:

Time taken = 2.5 hours

Distance traveled = 105 miles

Speed = Distance / Time

Speed = 105 miles / 2.5 hours

To divide 105 by 2.5, we can convert the mixed number 2 1/2 to an improper fraction:

2 1/2 = 5/2

Then we can divide:

Speed = 105 miles / (5/2) hours

Speed = 105 miles * (2/5) hours

Speed = 42 miles/hour

Therefore, Mrs. Simpson's speed was 42 miles per hour.

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First, divide 105 (miles) by 2.5 (hours)

105/2.5=42

Mrs.Simpsons drove at a rate of 42 miles per hour.

What is 3/4 of 16/21? worked out please

Answers

of means multiplication

So

(3)/(4) \sf{of}  (16)/(21)  =  (3)/(4) *  (16)/(21)

And then simplify the numerator ad denominator

(3 * 16)/(4 * 21) =  (\ 1 * 16)/(4 * 7)

And simplify the numerator and denominator again

(\ 1 * 16)/(4 * 7) = (\ 1 * 4)/(1 * 7)

And we are finally left with the answer which is (4)/(7)

Which of the following inequalities does the graph represent?(I added a picture)









A.

3 ≤ t ≤ –1








B.

3 ≤ t < –1








C.

3 > t ≥ –1








D.

3 ≥ t > –1

Answers

so we assume that the inequaity represents the shaded reigon

you have to know the meaning of the line
the line goes from -1 to 3 so t is more than -1 and less than 3 so -1>t>3,
but there are special points
the point where the line stops at -1 is shaded in meaning that values above -1 and including -1 are in the solution -1<t

the other point at 3, is not shaded in, meaning that points below 3 and not including 3 are included so t<3

the solution is -1<t<3 or 3>t>-1 or C



Answer:

its D

Step-by-step explanation:

D.

3 > t > -1

is the answer on edg yw <3

Draw two different perimeters of a rectangle with an area of 14 units. Name their dimensions

Answers

Length: 7
Width: 2

Length: 14
Width: 1

Length: 2
Width: 5

Length: 3
Width: 4
Would be the right answer