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3 years ago

14

PLEASE HELP! ILL MARK BRAINLIEST Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = nine divided by x

squared + 2

1 answer:

Usimov [2.4K]3 years ago

4 0

y = (9 / (x^2)) + 2

Rewrite in terms of f(x):

y = (9/(g(x))) + 2

To get

g(x) = x^2

f(x) = 9/x + 2

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HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares.

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Answer:

33

Step-by-step explanation:

For every 5 squares, two are red and three are green. So 3/5 of the squares are green.

3/5x55=33

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3 years ago

Simplify the expression (6x^3 divided by 3x^4)^2

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blagie [28]

Answer:A

Step-by-step explanation:

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3 years ago

Janice works for a salary of $2,396 per month. She has federal income tax withheld at the rate of 15 percent, Social Security ta

MAVERICK [17]

Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.

Let us calculate total deductions.

Federal income tax = 15% of 2396 = 0.15*2396 =$359.4

Social security tax = 6.2% of 2396=0.062*2396 =$148.552

Medicare tax = 1.45% of 2396= 0.0145*2396=$34.742

<u>health insurance premium =$95 </u>

Total deductions = $637.694

To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306

Hence net pay of Janice is $1758.306 per month.

4 0

3 years ago

Mr. Monasterio ran to the store for burritos at 4 miles per hour. On the way back, he increased his speed to 6 miles per hour. I

sveticcg [70]

Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

$speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)$

Back from the store:

$s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)$

We are told that total time (t₁ + t₂) = 2 hours

t₁ + t₂ = eqn (1) + eqn (2)

$\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles$

∴ length of trip to the store = t₁

from eqn (1)

$t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours$

7 0

3 years ago