All categories

3 years ago

If f(x) = 5x – 3 and g(x) = 3x – 3, find f(x) – g(x). Please include full explanation

Mathematics

2 answers:

Iteru [2.4K]3 years ago

4 0

Answer:

f(x) - g(x) = 2x

Step-by-step explanation:

We have given two functions.

f(x) = 5x-3 and g(x) = 3x-3

We have to find their difference.

f(x)-g(x) = ?

Putting given values, we have

f(x) - g(x) =( 5x-3) - (3x-3)

Distribute negative sign over second parentheses,

f(x) - g(x) = 5x-3 -(3x)-(-3)

f(x) - g(x) = 5x-3-3x+3

f(x) - g(x) = 5x-3x-3+3

Adding like terms, we have

f(x) - g(x) = 2x+0

f(x) - g(x) = 2x which is the answer.

Kisachek [45]3 years ago

3 0

Answer:

Step-by-step explanation:

f(x) – g(x)

f(x) = 5x – 3 and g(x) = 3x – 3

f(x)- g(x) = 5x – 3 -( 3x – 3)

Distribute the minus sign

5x -3 -3x+3

Combine like terms

5x-3x-3+3

You might be interested in

Nguyen is decorating the room for her sister’s baby shower party. She is wrapping Vietnamese conical hats in baby prints tissue

JulsSmile [24]

So the best and correct answer is C because this is how you do it The surface area of the cone has formula

pi * radius * ( radius + sqrt ( height^2 + radius^2)) =
pi * radius^2 + pi * radius * sqrt( height^2 + radius^2)

However, this includes the base of the cone and the hats do NOT have
that. "The hats are shaped like a cone with NO BASE", says the 3rd sentence.

So the formula becomes pi * radius * sqrt( height^2 + radius^2)

diameter = 16
radius = 8
height = 9

The surface area of ONE of the hats is pi * 8 * sqrt( 9^2 + 8^2)
= pi * 8 * sqrt( 81+64)
= pi * 8 * sqrt(145)
302.63828053.....

21 of them is 21 * 302... = 6355.40689112841343251026086.....

6 0

3 years ago

Read 2 more answers

27- 2b greater or equal to - 6

dezoksy [38]

27-2b > -6
-2b > -6-27
-2b > -33
b < -33/-2 (you have to change the sign when you divide with a negative number)
b < 16.5
(all the signs are supposed to have a line under them to make them greater or equal or less than or equal to)

5 0

3 years ago

ILL GIVE BRAINLIST FOR THE FIRST TO GET #6 RIGHT!!

algol [13]

20 can be broken down to 4 times 5

then 4 can be further broken down to 2 times 2

therefore your answer is A 2^2x5

8 0

3 years ago

In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.

artcher [175]

Answer:

21.9°

Step-by-step explanation:

In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.

We solve this above question using the Sine rule

a/sin A = b/sin B

In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.

Hence:

HI/∠J = JH/∠H

= 8/sin 90° = 1.9/sin ∠H

Cross Multiply

∠H = arc sin(sin 1.9 × 90/8)

∠H = 21.9°

5 0

3 years ago

You buy a bunch of snacks from the grocery story that cost $9.50. You also have a 10% off your total purchase coupon. The tax ra

Bond [772]

Answer:

889 or 900

Step-by-step explanation:

I found 4 percent of 9.50 and added it, then found 10 percent and added it.

4 0

3 years ago