Given f(x) = 8x + 25, find x when f(x) = 9.

Which of the following equations describes the line shown below? Check all

nexus9112 [7]

Answer:

C and D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = $\frac{3+6}{9+3}$ = $\frac{9}{12}$ = $\frac{3}{4}$

Using (a, b ) = (9, 3 ) , then

y - 3 = $\frac{3}{4}$ (x - 9) → C

Using (a, b ) = (- 3, - 6 ), then

y - (- 6) = $\frac{3}{4}$ (x - (- 3) ) , that is

y + 6 = $\frac{3}{4}$ (x + 3) → D

4 0

3 years ago

MICHAEL and Kevin are running. Kevin gets a 3 mile head start and runs at a rate of 5.5 miles per hour. Michael runs at a rate

dlinn [17]

5.5x + 3 = y
7x =y

5.5x + 3 = 7x (-5.5x both sides)

3 = 1.5x (÷1.5 both sides)

X = 2

Michael takes two hours

4 0

3 years ago

Tamara needs $624 for her budget every week. She works 40 hours a week.

kirza4 [7]

Answer:

$15.6

Step-by-step explanation:

Based on the given information, it is $15.6. However, it never specified how many hours she works a day and how many days of the week she works, so we must assume it is just 624/40.

3 0

2 years ago

Read 2 more answers

Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg

zhenek [66]

Answer:

96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

Step-by-step explanation:

We are given that a group of researchers at the BYU Off-Campus Housing department want to estimate the mean monthly rent that unmarried BYU students paid during winter 2018.

During March 2018, they randomly sampled 314 BYU students and found that on average, students paid $346 for rent with a standard deviation of $86.

So, the pivotal quantity for 95% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = average rent paid by 314 BYU students = $346

s = sample standard deviation = $86

n = sample of students = 314

$\mu$ = population mean monthly rent of all unmarried BYU students

So, 96% confidence interval for the population mean monthly rent, $\mu$ is ;

P(-2.082 < $t_3_1_3$ < 2.082) = 0.96

P(-2.082 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.082) = 0.96

P( $-2.082 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ , $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $346 -2.082 \times {\frac{86}{\sqrt{314} } }$ , $346 +2.082 \times {\frac{86}{\sqrt{314} } }$ ]

= [335.89 , 356.10]

Therefore, 96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

5 0

3 years ago

Find the measure of the arc.<br><br> 146°E<br><br> mFD =

Verizon [17]

Answer:

arc FD = 236°

Step-by-step explanation:

The measure of the arc is equal to the measure of the central angle it subtends, thus

arc FD = arc FE + arc ED = 146° + 90° = 236°

4 0

3 years ago