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Dennis_Churaev [7]
3 years ago
11

20 POINTS PLUS BRAINLIEST ANDWER PLUS MY HOVER HOARD IM V DESPERATE HERE!!! Evaluate the polynomial for x=-2 in the equation -3x

^3+7x^2-7x-1 (simplify your answer)

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

Answer:

65

Step-by-step explanation:

-3x^3 + 7x^2 -7x-1

Let x = -2

-3(-2)^3 +7(-2)^2 -7(-2) -1

According to PEMDAS, Powers first

-3(-8) +7(4) +14 -1

Then multiply

24 +28 +14-1

Then add and subtract

65

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The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy
Serjik [45]

The Pythagorean's Theorem for our situation would look like this:

shortleg^2+longleg^2=hypotenuse^2

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

s^2+(2s+4)^2=(2s+6)^2

And of course we have to expand. Doing that will leave us with

s^2+4s^2+8s+8s+16=4s^2+12s+12s+36

Combining like terms we have

5s^2+16s+16=4s^2+24s+36

Our job now is to get everything on one side of the equals sign and solve for s

s^2-8s-20=0

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0
3 years ago
If y varies with x, and y=-20 and x=5, what is x when y=-30?
vladimir1956 [14]

If y = -30, then x = 7.5

Hope this helps.

3 0
3 years ago
9x+18+3x=1
Katen [24]
The error is in the second step they subtracted 3 from both sides but it was a 3x, which you can not do.
Correction.
9x+18+3x=1
12x+18=1
12x=-17
x=-17/12
3 0
3 years ago
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ser-zykov [4K]
Complementary angles add up to 90 degrees.

So we can write:

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To solve, subtract 42 to both sides:

x = 48

So the complement of a 42 degree angle is a 48 degree angle.
7 0
3 years ago
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Illusion [34]

2x +   7\leqslant 40
Sounds like that to me but that is symbolically showing of that's what your teacher means as mathematical sentence
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3 years ago
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