f(x)=x^2-x-1 , average rate of change of f over interval -1 greater than or equal to x less than or equal to 1

We can see Karren rode farther

[tex]25[/tex] [tex]\frac{2}{5}[/tex]  with a common denominator is:

[tex]5+3=8[/tex]   [tex]2+3=5[/tex]

[tex]\frac{2}{5}+\frac{3}{3}=\frac{5}{8}[/tex]

so we know that Karren rode [tex]25\frac{5}{8}[/tex] miles which is more than Harrys [tex]25\frac{3}{8}[/tex]

Answer: -11.4, -9, 9.7, and 10.8

Step by step explanation: You had to subtract the actual height from the average height and then order the sum of each answer from least to greatest. Hope this helped!

Mateo bought 0.84 pounds more of Fuji apples than Golden Delicious apples, calculated by subtracting 3.7 pounds (Golden Delicious) from 4.54 pounds (Fuji).

Mateo bought 4.54 pounds of Fuji apples and 3.7 pounds of Golden Delicious apples. To find out how many more pounds of Fuji apples he bought than Golden Delicious apples, you can simply subtract the weight of the Golden Delicious apples from the weight of the Fuji apples:

4.54 pounds (Fuji apples) - 3.7 pounds (Golden Delicious apples) = 0.84 pounds.

Mateo bought 0.84 pounds more of Fuji apples than Golden Delicious apples. This means that he purchased nearly 0.84 pounds extra of Fuji apples compared to the Golden Delicious variety.

It's important to remember that this calculation involves a straightforward subtraction of weights and doesn't require any complex mathematical operations. So, Mateo purchased approximately 0.84 pounds more of Fuji apples than Golden Delicious apples.

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Final answer:

The expression representing the total weekly allowance Steven and Jill receive for doing the same number of chores is 14 + 5c, where c represents the number of chores done.

Explanation:

The question asks for an expression to represent the total allowance that Steven and Jill receive each week if they do the same number of chores. Steven gets a fixed allowance of $8 plus an additional $3 for each chore he completes, while Jill gets a fixed allowance of $6 plus $2 for each chore she completes.

Let's represent the number of chores they each do with the variable c. The expression for Steven's weekly allowance would be 8 + 3c, and the expression for Jill's weekly allowance would be 6 + 2c. To find the total combined allowance, we simply add the two expressions:

8 + 3c + 6 + 2c

Simplifying this expression, we combine like terms:

14 + 5c

This expression represents the total weekly allowance that their parents give to Steven and Jill together, if they do the same number of chores.

The expression and the evaluation are that represents the total amount of time should be

[tex]= 35\times 3 + 55\times 2\\\\= 105 + 110[/tex]

and 215 minutes.  

Given that,

Based on the above information, the calculation is as follows:

[tex]= 35\times 3 + 55\times 2\\\\= 105 + 110[/tex]

= 215 minutes

Therefore we can conclude that the expression that represents the total amount of time should be 215 minutes.  

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Given

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

The sandwich cost $7.75 and sales tax was $0.47.

Find out the  cost of her drink

To proof

Let the cost of her drink be x.

As given in the question

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

Elysse paid for her sandwich and drink = 10 - 0.63              

                                                                 =  $ 9.37

sandwich cost $7.75 and sales tax was $0.47

Than the equation becomes

x = 9.37 - (7.75 + 0.47)

x = 9.37 - 8.22

x = $ 1.15

The cost of the drink is $ 1.15.

Hence proved      

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

To find the factors of a number, we identify all the whole numbers that can be divided evenly into the original number.

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Thus the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

To determine how long the pizzeria's cheese supply will last, we divide 250 pounds by the daily usage of 20 5/6 pounds, which equals approximately 12 days.

To calculate how long the pizzeria's 250 pounds of mozzarella cheese will last, given that they use 20 5/6 pounds of cheese every day, we have to divide the total amount of cheese by the daily usage. The fraction 5/6 needs to be converted to a decimal for ease of calculation. So 5/6 is approximately 0.833. Therefore, the daily usage is 20 + 0.833, which is 20.833 pounds.

Next, we divide the total amount of cheese by the daily usage to find how many days the cheese will last:

250 ÷ 20.833 ≈ 12 days

Therefore, the mozzarella cheese will last for approximately 12 days.

To evaluate the expression (12x + 8) / 4 for x = 2, you multiply 12 by 2, add 8, and then divide by 4. The final answer is 8, which corresponds to option D.

To evaluate the expression (12x + 8) / 4 for x = 2, you substitute the value of x into the expression and then simplify. First, multiply 12 by 2 to get 24, then add 8 to get 32. After that, divide 32 by 4 to get the final answer.

Here is the step-by-step calculation:

The correct answer is D) 8.

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To find an equivalent fraction to 2/5 with a denominator of 15, multiply both the numerator (2) and the denominator (5) by 3, resulting in the fraction 6/15.

To find a fraction equivalent to 2/5 that has a denominator of 15, we need to scale up the original fraction so that the denominator becomes 15. This is done by finding a number that you can multiply the denominator by to get 15. Since 5 × 3 = 15, we multiply both the numerator and denominator of 2/5 by 3 to maintain the same value.

Here's the calculation:

Therefore, the fraction that is equivalent to 2/5 with a denominator of 15 is 6/15.

Carlos can paint 6 rooms with the available 4 1/2 gallons of paint.

To paint one 10 ft by 10 ft room, Carlos uses 3/4 gallons of paint. To find how many rooms Carlos can paint with the available 4 1/2 gallons of paint, we divide the total paint available by the paint used per room.
Number of rooms = Total paint available / Paint used per room
Number of rooms = 4 1/2 / 3/4
Number of rooms = 9/2 / 3/4
To divide fractions, multiply by the reciprocal of the divisor
Number of rooms = 9/2 * 4/3
Number of rooms = 36/6
Number of rooms = 6

Carlos can paint 6 rooms with the available 4 1/2 gallons of paint. Therefore, the correct answer is C. 6 rooms.

The answer is $3.15.

To find the width of the rectangular garden, use the equation 2w + 9 = 21.5, which leads to a width of 6.25 meters after solving step by step. The total fencing used is 21.5 meters for the three sides, with the fourth side being the house.

Finding the Width of the Rectangular Garden

Given that three sides of the rectangular garden are fenced and the fourth side is the house, let's break down the problem step by step:

Since only three sides are fenced, the total length of the fencing is the sum of two widths and one length of the garden. Therefore, we can write this equation:

2w + 9 = 21.5

To find w, we solve the equation as follows:

Therefore, the width of the garden is 6.25 meters.