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monitta
2 years ago
10

3x - 5y = -35 please solve and show your work

Mathematics
1 answer:
scoray [572]2 years ago
8 0
You use the formula y=mx+b, therefore you have to isolate the y
First you subtract 3x to both sides.
3x - 5y = -35
-3x -3x
Then it would be
-5y = -3x -35
Then you divide -5 on both sides to isolate the y
-5y = -3x -35
/-5 /-5 /-5
Two negatives cancel out and make a positive so it would be
Y = 3/5x + 7
(:
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Answer:

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We look for where x=7. The way you find the answer is first, find the point (0, 7). Draw a line straight up and down, and see where that line intersects the function. Those intersection points are your answer(there will always be only 1 for a function, but if a graph isn't a function, there might be more than 1).

Using this method here, we see that g(7) intersects our line at (7, 4), so g(7)=4.

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When asked to graph the line for y = 2/5x + 3, Mallory drew the line shown.
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Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
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To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

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f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

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Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

and it goes to minus infinity as x goes to - infinity.
7 0
3 years ago
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