How to calculate area under exponential curve?

PLEASE HURRY WILL GIVE BRAINLIEST if you show your work!

MAVERICK [17]

Answer:

(x² + 7x + 6) ÷ (x² + 2x + 1)

This should be in the form of a fraction, I just don't know how to format it that way on here.

Step-by-step explanation:

Since your denominators are equal on both fractions, you just need to subtract your numerators.

3x² + 9x + 12 - (2x² + 2x + 6)

When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.

So this:

2x² + 2x + 6

Will become this:

2x² - 2x - 6

This is how it will look:

3x² + 9x + 12 - 2x² - 2x - 6

Now all you have to do is collect the like terms.

3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²

This is how your numerator should look so far:

x² + 9x + 12 - 2x - 6

Now we move on to the next like terms.

9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x

This is how your numerator should look so far:

x² + 7x + 12 - 6

Now we move on to the last set of like terms.

12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6

This is how your numerator should be now:

x² + 7x + 6

Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).

You are done! I hope this was clear and you understand :)

5 0

3 years ago

Read 2 more answers

A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.

Natalija [7]

Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

$x -0,3*x = x -24$

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

$x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x$

$24=x-0,7*x \rightarrow 24 = x*(1-0,7)$

$24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80$

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

$24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80$

And we find ourselves on the same conclusion.

Have a wonderful day :D

8 0

3 years ago

Help plzzzzzz! Sandy works at a clothing store. She makes $9 per hour plus earns 10% commission on her sales. She worked 72 hour

Mamont248 [21]

Answer:

Step-by-step explanation:

Payment per hour is $8

commission is 15%

Total number of hours worked for 2 weeks is 73 hours

Total sales=$2095

commission earned for 2 weeks:

15/100×2095

=$314.25

Total amount earned in 73 hours:

73×8=$584

Total amount earned in commission and wages:

584+314.25

=$898.25

4 0

3 years ago

Which equation describes the inverse of f(x) = 7x + 8?

Kipish [7]

Answer:

y = 1/7x - 8/7

Step-by-step explanation:

y = 7x+8

x=7y+8

x-8 = 7y

1/7x-8/7 = y

4 0

3 years ago

What is 3y-4x=7 in slope intercept form?

NNADVOKAT [17]

Answer:

y=4/3x+7/3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers