= 9x2 +9x -18,/<br> 3x +6

Find "both" answers

Eva8 [605]

Answer:

Please check the explanation!

Step-by-step explanation:

Finding the slope:

Taking two points to find the slope of the linear function

(2, 10)

(3, 13)

Slope = m = y₂-y₁ / x₂-x₁

= (13-10) / (3-2)

= 3 / 1

= 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

= 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

<u>RESULT </u>

From the above calculations, we conclude that:

Slope = 3

The common difference between consecutive terms of the arithmetic sequence = 3

The difference between the terms a₂ and a₄ = 6

The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3

8 0

3 years ago

A rectangular shoebox has a volume of 728 cubic inches. The base of the shoebox measures 8 inches by 6.5 inches. How long is the

siniylev [52]

Okay to solve this you need to divide the volume to the two measurements
728 ÷ 8 = 91 ÷ 6.5 = 14

7 0

3 years ago

If a borrower's monthly interest payment on an interest-only loan at an annual interest rate of 7.3% is $877, how much was the l

nordsb [41]

Answer:

C. $144,200

Step-by-step explanation:

We have been given that a borrower's monthly interest payment on an interest-only loan at an annual interest rate of 7.3% is $877.

To find the loan amount, we will use simple interest formula.

$I=Prt$ , where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

One month will be equal to 1/12 year.

$7.3\%=\frac{7.3}{100}=0.073$

Upon substituting our given values in simple interest formula, we will get:

$877=P*0.073*\frac{1}{12}$

$877*12=P*0.073*\frac{1}{12}*12$

$10524=P*0.073$

$P*0.073=10524$

$\frac{P*0.073}{0.073}=\frac{10524}{0.073}$

$P=144164.3835616438356$

Upon rounding to nearest hundred, we will get:

$P\approx 144,200$

Therefore, the loan amount was $144,200 and option C is the correct choice.

5 0

3 years ago

A company hired 15 new employees. They want to randomly assign 4 of them to work in the graveyard shift. In how many ways can th

____ [38]

Answer:

This assignment can be made in 1365 ways.

Step-by-step explanation:

The order in which the shifts are assigned is not important. For example, employees A, B, C, D and D,C,B,A being assigned is the same thing. So, we use the combinations formula to solve this question.

Combinations Formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Assignment of 4 employees, from a set of 15. So

$C_{15,4} = \frac{15!}{4!(15-4)!} = 1365$

5 0

3 years ago

What is the area of a rectangle with a length of 8.1 in and a width of 6 in?<br> HELP PLEASE

larisa86 [58]

Answer: 48.6

Step-by-step explanation: 8.1 * 6 =48.6

5 0

2 years ago

= 9x2 +9x -18,/ 3x +6