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dybincka [34]
4 years ago
5

Add the polynomials (7x3−2x2−12)+(−3x3−8x2+10x)

Mathematics
2 answers:
Goshia [24]4 years ago
4 0

Answer:

See below

Step-by-step explanation:

● (7x^3 - 2x^2 -12) + (-3x^3 - 8x^2 +10x)

● 7x^3 - 2x^2 - 12- 3x^3 - 8x^2 + 10x

Combine like terms

● 7x^3 - 3x^3 -2x^2 - 8x^2 -12 + 10x

● 4x^3 - 10x^3 +10x -12

ioda4 years ago
4 0

Answer:

Addition:::::4x^3-10x^2+10x-12

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3 years ago
Write a quadratic equation in standard form that has a vertex of (-2, 6) and passes through (-4, -2).
Marizza181 [45]

Answer:

The equation of the quadratic in standard form is:

y=-2x^2-8x-2

Step-by-step explanation:

Since they give us the information about where the vertex of the parabola is located, and one extra points where it passes through, we can use the general form of a quadratic in vertex form:

y-y_v=a\,(x-x_v)^2

where (x_v,y_v) is the location of the vertex (in our case the point (-2,6).

Therefore the equation above becomes:

y-y_v=a\,(x-x_v)^2\\y-6=a\,(x-(-2))^2\\y-6=a\,(x+2)^2

Now,we can use the fact that the point (-4,-2) is also a point of the graph, to find the value of the parameter "a":

y-6=a\,(x+2)^2\\-2-6=a\,(-4+2)^2\\-8=a\,(-2)^2\\-8=a\,*4\\a=-2

Then, the equation of the quadratic with such characteristics becomes:

y-6=-2\,(x+2)^2\\y-6=-2x^2-8x-8\\y=-2x^2-8x-2

which is the equation of the quadratic in standard form.

7 0
3 years ago
-b+10=5b-8 what does b equal​
maksim [4K]

Answer: b = 3

Step-by-step explanation:

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3 years ago
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