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Dahasolnce [82]

3 years ago

13

When I graphed the linear function, it turned out to be a wavy curve.

1 answer:

Elden [556K]3 years ago

4 0

Answer:

B. The statement does not make sense because a linear function has a straight-line graph.

Step-by-step explanation:

Linear functions have a general form y = m*x +b and only yield straight-line graphs. Therefore, the statement does not make sense, either the graphed function is not linear, or there was an error in the graphing process. The answer is alternative B.

*Note that alternative D is wrong because it is incomplete, since linear functions can have a rate of change that increases (m > 0), decreases (m < 0) or that is zero (m = 0).

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The third term of an arithmetic sequence is equal to 9 and the sum of the first 8 term is 42. Find the first term and the common

zloy xaker [14]

Answer:

The first term is 14

The common difference is -2.5

Step-by-step explanation:

we know that

The rule to calculate the an term in an arithmetic sequence is

$a_n=a_1+d(n-1)$

where

d is the common difference

a_1 is the first term

we have that

The third term of an arithmetic sequence is equal to 9

so

$a_3=9$

$n=3$

substitute

$9=a_1+d(3-1)$

$9=a_1+2d$ ----> equation A

The rule to find the sum of the the first n terms of the arithmetic sequence is equal to

$S=\frac{n}{2} [2a_1+(n-1)d]$

we have

The sum of the first 8 term is 42

so

$S=42$

$n=8$

substitute

$42=\frac{8}{2} [2a_1+(8-1)d]$

$42=4[2a_1+7d]$

$10.5=2a_1+7d$ ----> equation B

Solve the system of equations

$9=a_1+2d$ ----> equation A

$10.5=2a_1+7d$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is (14,-2.5)

see the attached figure

therefore

$a_1=14\\d=-2.5$

The first term is 14

The common difference is -2.5

8 0

3 years ago

The minimum monthly payment for Andrew's credit card is 2% of his balance or $20, whichever is higher. If Andrew's balance at th

AfilCa [17]

Hi there

2%=0.02

2% of 870

0.02×870=17.4
whichever is higher
20 is higher than 2%

So the minimum monthly payment is
20

Good luck!

5 0

4 years ago

Read 2 more answers

What is 5x-9=7x+6-2x

Sliva [168]

-9 = -6 is your answer

4 0

3 years ago

When x is decreased by 2, and then that number is divided by 2, the result is 2. What is the value of x?

Flauer [41]

The value of x is 6
6 - 2 = 4
4 ÷ 2 = 2

8 0

3 years ago

The equation below can be used to determine I, the am

arsen [322]

Given :

The equation below can be used to determine I (simple interest) on a loan as follows :

$I=Prt$ ...(1)

P is principal, r the rate of the loan, t is the length of the loan in years.

We need to find the equation to solve in terms of r. We can find the value of P.

Dividing both sides of equation (1) by rt. So,

$\dfrac{I}{rt}=\dfrac{Prt}{rt}\\\\P=\dfrac{I}{rt}$

So, P can be solved as : $P=\dfrac{I}{rt}$ .

6 0

3 years ago