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Nadya [2.5K]
2 years ago
5

What is the y-intercept of the line?

Mathematics
1 answer:
8090 [49]2 years ago
6 0

Answer:

34

Step-by-step explanation:

We start by working out the slope. The slope is change in y over change in x, so (66-58)/(-56)-(-42) is the slope here. 66-58 is 8, and -56-(-42) is -14. -8/14=-4/7. The equation of a line in slope-intercept form is y=mx+b where b is the y intercept and m is the slope. Since the slope is -4/7, then y=-4/7x+b. We then insert any x and y pair into this equation and solve for b, the y intercept to get it. (We can do ANY pair) So, 50=(-4/7)(-28)+b.

: 50=16+b

: 50-16=b

: 34=b

So, in conclusion, the y intercept is 34. Hope this helps!

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PLEASE PLEASE PLEASE HELP I really don’t understand this.
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Answer:

The second option is the answer.

Step-by-step explanation:

Do f(x) first, and then plug that into g(x).

f(x)=\sqrt{x+3}

(g o f)(x) = \frac{\sqrt{x+3}^{2}+2 }{\sqrt{x+3}}=\frac{x+5}{\sqrt{x+3}}

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3 years ago
A rectangle has a length of 8m and a width of 3m. If a similar rectangle has
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8.25 m

Step-by-step explanation:

the scale is 2.75

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2 years ago
A cliff diver leaps from a 100-foot cliff into the Pacific. The diver's height above the water is modeled by the
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2 years ago
A student performed the following steps to find the solution to the question x^2 - 2x - 15 = 0. Where did the student go wrong?
nataly862011 [7]

Answer:

D  In step 3

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Given polynomial:  x² - 2x - 15 = 0

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Help please !! :(
Sergeu [11.5K]
The annual interest rate is 20.4% which is a 20.4/12 = 1.7% monthly rate.

1.7% = 0.017

-------------------------------------------------

Month 1:

interest = 0.017*(current balance)

interest = 0.017*(1045.87)

interest = 17.77979

interest = 17.78

---------

principal = payment - interest

principal = 490 - 17.78

principal = 472.22

---------

new balance = (old balance) - principal

new balance = (1045.87) - 472.22

new balance = 573.65

at the end of month 1, the balance is $573.65

So far, you have paid $490

-------------------------------------------------

Month 2:

interest = 0.017*(current balance)

interest = 0.017*(573.65)

interest = 9.75205

interest = 9.75

---------

principal = payment - interest

principal = 490 - 9.75

principal = 480.25

---------

new balance = (old balance) - principal

new balance = (573.65) - 480.25

new balance = 93.40

At the end of month 2, the balance is $93.40

So far, you have paid 490+490 = 980 dollars

-------------------------------------------------

Month 3:

The current balance of $93.40 is less than $490, so we don't have to pay the full $490. We can simply pay off the remaining balance. 

Add this to the current total paid amount so far to get 980+93.40 = 1,073.40

I'm not sure if I made a rounding error somewhere or if there is a typo. The closest answer choice I see is choice B. So I'm thinking the answer is choice B. I'd get a second opinion or ask the teacher on this one. 
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