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lbvjy [14]
3 years ago
6

Which equation best represents the line?

Mathematics
1 answer:
erica [24]3 years ago
7 0

y = mx + b, where m = slope, and b = y-intercept.

y = 3x + 3

y = 1/2x - 3

y = 1/2x + 3

y = 3x + 1/2

we can eliminate 2 and 4 since the y-intercept in the graph is shown as (0, 3)

This leaves us with

y = 3x + 3 and y = 1/2x+3

m = change in y / change in x

We take any two points on the line to find the slope.

I chose (2, 4), (0, 3)

change in x: 2 - 0 = 2

change in y: 4 - 3 = 1

m = 1/2

This leaves us with the only answer that has the slope of 1/2 and the y-intercept of 3.

option: 3

y = 1/2x + 3

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Divide. 413÷129 Enter your answer, as a mixed number in simplest form, in the box.
kompoz [17]

For this case we must divide the following expression:

\frac {413} {129}

The expression can not be simplified. When dividing we have that its decimal form is given by:

3,201550

If we convert to a mixed number we have:

3 \frac {26} {129}

Verifying:

3 \frac {26} {129} = \frac {129 * 3 + 26} {129} = \frac {413} {129}

Answer:

3 \frac {26} {129}

5 0
3 years ago
You have $25,000 to invest. You can find an account (Acount A) that guarantees $925 per year. You also found a simple interest a
Sveta_85 [38]
Account A
A=p+i
A=25,000+(925×5)
A=29,625

Account B
A=p(1+rt)
A=25,000×(1+0.065×5)
A=33,125

How much more did the account B earn
33,125−29,625
=3,500

8 0
3 years ago
PLEASE HELP ASAP!!!
Dafna1 [17]

Answer:

Step-by-step explanation:

Any time you have compounding more than once a year (which is annually), unless we are talking about compounding continuously, you will use the formula

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

Here's what we have:

The amount after a certain time that she has in the bank is 4672.12; that's A(t).

The interest rate in decimal form is .18; that's r.

The number of times the interest compounds is 12; that's n

and the time that the money is invested is 3.5 years; that's t.

Filling all that into the formula:

4672.12=P(1+\frac{.18}{12})^{(12)(3.5)} Simplifying it down a bit:

4672.12=P(1.015)^{42} Raise 1.015 to the 42nd power to get

4672.12 = P(1.868847115) and divide to get P alone:

P = 2500.00

She invested $2500.00 initially.

6 0
3 years ago
Find the exact solution to the equation. Show your work for credit. (1 point) four to the power of quantity twelve minus four x
padilas [110]
4^(12-4x)=256  realize that 256 is 4^4  so we really have:

4^(12-4x)=4^4  taking the natural log of both sides

(12-4x)ln4=4ln4  dividing both sides by ln4

12-4x=4  subtract 12 from both sides

-4x=-8  divide both sides by -4

x=2


7 0
3 years ago
The table represents a linear equation . which equation correctly uses point(-2,-6) to write the equation of this line in point-
Minchanka [31]

d ...............................................

7 0
3 years ago
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