PLS HELP DUE SOON!! (retest) will give brainliest <3

A.The y-intercept of the function is 3.

Marrrta [24]

Answer:

D. The slope of the function is positive.

Step-by-step explanation:

I think the best thing to start with is the slope. Lets figure it out using the slope formula, (y2-y1)/(x2-x1).

Using the points, (-4, -7) and (-3, -4),

(-4 - (-7)) / (-3 - (-4))

= 3 / 1

= 3

Right off the bat, you can see that C is incorrect.

Lets go through the other choices and check now.

Using our slope, lets write an equation in the slope intercept form.

y = -3x + b (derived from y=mx+b)

Now, lets plug in a point (let's say, (-4,-7)) to verify if 3 really is the y intercept.

-7 = 3(-4) + b

-7 = -12 +b

5 = b

Since 3 is not equal to 5, A is incorrect. That leaves us with choice B and D.

We know that the x-intercept is found as (0, a), meaning that this x intercept is (0, 5/3). Let's plug it into the equation!

0 = 3(5/3) + 5

0 = 5 + 5

0 = 10

Since this is obviously incorrect, our answer is D, the slope of the function is positive. Let me know if you have any other questions.

8 0

4 years ago

Which of the following correctly graphs the system of equations?<br><br> {y=x−3<br> y=−2x+3

8_murik_8 [283]

The third one

This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)

4 0

3 years ago

An airplane is traveling at 625 miles per hour. At this rate, about how long will it take the plane to travel 3250 miles?

zhannawk [14.2K]

3250 / 625 = 5.2

It will take 5.2 hours for the plane to travel 3250 miles.

3 0

4 years ago

Read 2 more answers

A loan of $100,000 is made today. The borrower will make equal repayments of $3568 per month with the first payment being exactl

Makovka662 [10]

Answer:

The yearly interest rate is 5.20%.

Step-by-step explanation:

This is a compound interest problem

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

The loan outstanding is the value of the loan that has not been repaid.

Here, it is $$25,044.84$ .

To find the interest rate, we first have to find how much money the borrower will have to pay, that will be the value of A in the compound interest formula.

The total he will have to play is $$25,044.84$ plus the $3,568 he has already paid in each of the previous 2 years = 24 months. So:

$A = 25,044.84 + 24*3,568 = 110,676.84$ .