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Alex Ar [27]
3 years ago
8

Write an equation that is the sum of 3x+y=5 and -3 times x+2y=-5. Combine all like terms on both sides of the equation.

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

Step-by-step explanation:

-5y=20

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When is the equation <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-7%7D%7Bx%5E2-4x-21%7D%20%3D%5Cfrac%7B1%7D%7Bx%2B3%7D" id="Tex
Vladimir79 [104]

Notice that

x^2 - 4x - 21 = (x - 7) (x + 3)

so on the left side, a factor of <em>x</em> - 7 in the numerator and denominator can cancel

\dfrac{x-7}{x^2-4x-21} = \dfrac{x-7}{(x-7)(x+3)} = \dfrac1{x+3}

But we can only cancel them out as long as <em>x</em> ≠ 7 (because otherwise we'd have the indeterminate form 0/0 on the left side).

So, the equation is true for all <em>x</em> <u>except</u> <em>x</em> = 7. In set notation,

\{x \in \mathbb R \mid x \neq 7\}

In interval notation,

(-\infty,7)\cup(7,\infty)

8 0
3 years ago
How do you do the math of 8 divided by 624
Veronika [31]
We can write it down as a fraction:

\frac{8}{624}

and we can simplify this fraction:

\frac{8}{624} 
=\frac{4}{312}
=\frac{2}{156}
= \frac{1}{78}

or we can write it as a decimal:
0.1282...

8 0
3 years ago
What is Pi equal to (First 20 digits)
Juliette [100K]

Answer:

3.14159265358979323846

Step-by-step explanation:

3 0
3 years ago
I need help with intercepts from a graph
Rina8888 [55]

Explanation: The y axis is the line that goes up and down, vertical. The x axis is the line that goes straight across, horizontal. So, when looking for intercepts we have to see what numbers your graphed line goes through.

Make sure when you are writing your points you write it in (x,y) form. If you don't it will be wrong.

So, for our x intercept it would be -7,0.

This is because your graphed line goes through x at -7 and it has no y, so that would be 0.

For your y intercept, it would be 0,2

This is because our line does not go through x, so we make that 0. It does go through y at 2.

Hope this helps :)

If you need elaboration on anything let me know. I know sometimes with math it is kind of hard to explain through typing.

8 0
4 years ago
Greta opens a savings account with $25 she saves $20 each week
grigory [225]

Answer:

Greta spends$25-$20=$5per week.

8 0
3 years ago
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