The points (3, 9) and (–3, –9) are plotted on the coordinate plane using the equation y = a • x. What is the value of a?

The linear function f(x) = 0.9x + 79 represents the average test score in your math class, where x is the number of the test tak

Levart [38]

Given:

The linear function for average test score in your math class is

$f(x)=0.9x+79$

where x is the number of the test taken.

The linear function g(x) in the given table represents the average test score in your science class, where x is the number of the test taken.

To find:

Part A: The test average for your math class after completing test 2.

Part B: The test average for your science class after completing test 2.

Part C: Which class had a higher average after completing test 4?

Solution:

Part A:

We have,

$f(x)=0.9x+79$

Put x=2 in the above function, to find the test average for your math class after completing test 2.

$f(2)=0.9(2)+79$

$f(2)=1.8+79$

$f(2)=80.8$

Therefore, the test average for your math class after completing test 2 is 80.8.

Part B:

From the given table it is clear that g(x) =79 at x=2.

Therefore, the test average for your science class after completing test 2 is 79.

Part C:

Put x=4 in f(x), to find the test average for your math class after completing test 4.

$f(4)=0.9(4)+79$

$f(4)=3.6+79$

$f(4)=82.6$

From the table it is clear that the value of g(x) is increased by 1 as x is increased by 1. So, the value of function g(x) at x=4 must be 1 more than 80.

$g(4)=81$

It is clear that,

$82.6>81$

Therefore, math class had a higher average after completing test 4.

3 0

3 years ago

Elizabeth works for Picasso paint supplies. Her annual salary is $72,580. What is Elizabeth’s annual social security deduction?

Nikolay [14]

Social Security's Old-Age, Survivors, and Disability Insurance (OASDI) tax rate for wages paid in 2018 is set by the state at 6.2 % for employees and employers, each. An individual with wages equal to or larger than $128,400 would contribute $7,960.80 to the OASDI program. Since Elizabeth receives a salary of $72,580 from Picasso paint supplies, a lot lower than <span>$128,400, there will be no deduction. </span>

8 0

3 years ago

Need help with this questions

leva [86]

1. Total
2. Deficit
( hope this helps)

4 0

4 years ago

Jennifer is leasing a car from a local auto retailer. The terms of the lease include a 9% interest rate for 36 months with a res

katrin [286]

1. The problem gives the residual value in percentage, and you need it in dollars. So, if the MSRP for the car Jennifer is leasing is $ 17,500, you have:

57%/100=0.57

residual value=$17,500*0.57= $9,975

2. Then, you need to substract the residual value and the lease term, to calculate the value of the car, as below:

car value=$17,500-$9,975=$7,525

3. You need to calculate the money factor, which is the interest rate divided by 2400. Then, you have:

Interest rate=9%/100=0.09

Money factor=0.09x2400
Money factor=0.00375

4. The interest is:

I=($17,500+$9,975)(0.00375)
I=$103.03

5. Therefore, the monthly payment is:

Monthly payment=(car value/36 months)+Interest
Monthly payment=($7,525/36)+$103.03
Monthly payment=$209.02+$103.03
Monthly payment=$312.06

What will Jennifer’s monthly lease payment be?

The answer is: d. $312.06

6 0

3 years ago

Read 2 more answers

PLEASE HELP NTH TERM MATHS

fredd [130]

Answer:

odd numbers

Step-by-step explanation:

4 - 7 is 3, 7 - 12 is 5, 12 - 19 is 7, 19 to 28 is 9

So just keep counting

4 0

2 years ago

Read 2 more answers