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svp [43]
3 years ago
15

What is the average rate of change of f(x)=x2+x−6 between x=1 and x=3 ?

Mathematics
1 answer:
fredd [130]3 years ago
4 0

Answer:

10

Step-by-step explanation:

Substitute 1 in place of x and the result is -4.

Again substitute 3 in place of x and the result is 6.

Change=6-(-4)=10

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Jonathan bought a Gucci belt in Chinatown for $35.00. The belt was on sale for ⅓ off the regular price. Then, an additional 8% w
leonid [27]

Answer:

<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount Jonathan paid for the belt = $ 35

Discount = 1/3 off the regular price

Coupon = additional 8% = 0.08

2. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.

We assume the question is asking for the original price of the belt, then we make this calculation:

Amount Jonathan paid for the belt = (Original price - Discount) - Coupon

Replacing with the values we know:

Original price = x

35 = (x - 1/3x) - 0.08x

35 = 2/3x - 0.08x

35 = 0.67x - 0.08x

35 = 0.59x

x = 35/0.59

x = 59.32

<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>

4 0
3 years ago
The container that holds the water for the football team is 2/3
Kipish [7]

Answer:

18 gallons

Step-by-step explanation:

We'll find out how much of the total container was lost when pouring out by subtracting 2/3 from 1/2.

2/3 = 4/6

1/2 = 3/6

4/6 - 3/6 = 1/6

1/6 of the total amount the container could hold was lost when 3 gallons was poured out. This means that 1/6 of the container equals to 3 gallons. We can then simply multiply 3 by 6 to find the number of gallons of liquid the container can hold.

3 * 6 = 18 gallons

Checking my answer:

18 * 2/3 = 6 * 2 = 12

12 - 3 = 9

1/2 of 18 = 9

This means that our answer is correct.

8 0
3 years ago
In a right triangle ABC angle B is the right angle and m angle C = 30 degrees if AC = 10 what is AB
Sindrei [870]

Answer:

  • AB = 5

Step-by-step explanation:

This is a 30°-60°-90° right triangle.

AC is hypotenuse, AB is opposite side to 30° angle.

We know that in such a triangle the side opposite to 30° angle is half the hypotenuse.

<u>So we have:</u>

  • AB = 1/2AC = 1/2(10) = 5
8 0
3 years ago
What is the value of (–4)–3?
son4ous [18]
Here you go. Good luck!

7 0
3 years ago
Which graph best represents the function f(x)=2x ?
yan [13]

Answer:

B

Step-by-step explanation:

The best - well, only way- is to check a few points.

Namely -1 (unless your eyesight is really poor!), 0, 1, 2, and 3.

f(x) = 2^x\\f(-1) = 2^-^1 = \frac12\\f(0) =2^0 =1\\f(1)= 2^1=2\\f(2)=2^2=4\\f(3)=2^3= 8

Now you can mark all these points in each graph (well, you could if they were on paper and not on a screen) and see which one of the lines passes through all of them. Spoiler alert, it's the B graph.

A represents 2(2^x) = 2^{x+1}, B is the one you want, C is \frac{2^x}2 = 2^{x-1} and D looks like 4^x = 2^2^x

3 0
2 years ago
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