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stich3 [128]
3 years ago
9

What is the slope of 6x-3y=18??

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0
the \ slope \ intercept \ form \ is : \\  \\ y= mx +b \\ \\6x-3y=18 \\ \\-3y=-6x+18 \ \ /:(-3)\\ \\y=\frac{-6}{-3}x + \frac{18}{-3} \\ \\y=2x-6 \\ \\ m = 2
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Divide using synthetic division, and write a summary statement in fraction form. 2x^4-x^3-15x^2+3x/x+3
aev [14]
So... first off, we sort the dividend, the numerator, in descending order... so, looking at the exponents in this one, is already sorted in descending order, from 4 down to 1, so that's done.

then the divisor, we have x+3, that means x + 3 = 0, x = -3,
so, we'll be using -3 for the synthetic division then.

\bf \cfrac{2x^4-x^3-15x^2+3x}{x+3}\\\\
-------------------------------\\\\

\begin{array}{r|rrrrrrrrrl}
-3&&2&-1&-15&3\\
&&&-6&21&-18\\
--&&-&--&--&--\\
&&2&-7&6&\boxed{-15}&\leftarrow remainder
\end{array}

and now, we'll use those coefficients, dropping the exponents of the polynomial by one, and the remainder, remains as a fraction with the divisior of x+3.

\bf 2x^3-7x^2+6x-\frac{15}{x+3}
6 0
3 years ago
If you can mow 90 lawns in 45 hours, how long will it take to mow 12?
Alex777 [14]
<h3>Answer:  6 hours</h3>

Work Shown:

(90 lawns)/(45 hours) = (12 lawns)/(x hours)

90/45 = 12/x

2 = 12/x

2x = 12

x = 12/2

x = 6

It takes 6 hours to mow 12 lawns.

5 0
2 years ago
The expression x-3 is a factor of the polynomial P(X)=x^3-4x^2+4x-3. use synthetic division to write P(X) in factored form.
Serga [27]
I’m not sure on the answer choices but this is what I got when I did synthetic division.

8 0
3 years ago
Read 2 more answers
luz earns $400 for 40 hours of work. use the ratio table to determine how much she earns for 6 hours of work.
olga55 [171]
400
----- = 10                          40*10= 400
40
7 0
3 years ago
Read 2 more answers
Smallest to largest 1.306 1.36 1.06 1.031
Readme [11.4K]
1.06, 1.031, 1.36, 1.306
7 0
3 years ago
Read 2 more answers
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