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3 years ago

Write the equation of the line that passes through the points (4,8) and (–9,5). Put

Mathematics

1 answer:

kondor19780726 [428]3 years ago

6 0

<u>Step-by-step explanation:</u>

Co-ordinates = (4,8) & (-9,5)

Slope (m) = (y² - y¹) / (x² - x¹)

(m) = (5 - 8) / (-9 - 4)

(m) = -3 / -13

(m) = 3 / 13

Equation => y = mx + c

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Justin recently drove to visit his parents who live 96 miles away. On his way there his average speed was 20 miles per hour fast

never [62]

Answer:

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

Step-by-step explanation:

Let the average speed be x +20

Then average speed from his parents' x

And the distance is S=96

Then we know :

$\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing$

Justin's average speed to his parents' house: x= 40mph

Justin's average speed from his parents' house: x+20=60 mph

4 0

3 years ago

You take out $50,000 for loans during your college career. You must pay it back with 7% APR for 20 years, making monthly payment

Ad libitum [116K]

Answer:

The monthly payment for the loan amount for 20 years is $806.167

Step-by-step explanation:

The principal loan amount= $ 50,000

The rate of interest = 7 %

the time period of loan = 20 years = 20 × 12 = 240 months

let the amount after 20 years = $ A

<u>From Compounded method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm Time}$

or, A = 50,000 × $(1+\dfrac{\textrm 7}{100})^{\textrm 20}$

or, A = 50,000 × $(1.07)^{20}$

Or, A = 50,000 × 3.8696

∴ Amount = $ 193,480

So, The amount after 20 years = $ 193,480

The monthly payment amount = $ $\frac{193480}{240}$ = $ 806.167

Hence The monthly payment for the loan amount for 20 years is $806.167 Answer

3 0

3 years ago

Describe a method for calculating the mean of a set of data explain why the method works

Aneli [31]

Well, you take a set of numbers and you find the biggest number and you subtract the smallest number from it. that is the mean and the mean is the average number.

6 0

4 years ago

Read 2 more answers

Jane is getting ready to attend college next year. She's thinking about ways to pay for it. Which of these is the best first ste

Vanyuwa [196]

I think that the best option would by C.

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3 years ago

What is the range of the function y = 3x + 2 when the domain is {-3, 0, 2}?

Firlakuza [10]

Answer:

{-7, 2, 8}

Step-by-step explanation:

We see that the domain is limited to three x-values: -3, 0 and 2. To find the range (which is the set of all y-values) we just need to plug-in these x-values and find the corresponding y-values.

So our equation is:

y = 3x + 2

Then we substitute for the x-values:

y = 3(-3) + 2

y = -9 + 2

y = -7

y = 3(0) + 2

y = 0 + 2

y = 2

y = 3(2) + 2

y = 6 + 2

y = 8

So our range would be {-7, 2, 8}.

8 0

3 years ago