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aleksley [76]
3 years ago
15

(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!

Mathematics
2 answers:
Mrrafil [7]3 years ago
8 0

Answer:

  • -32x² +8x -8
  • See below about the process

Step-by-step explanation:

The simplified expression is ...

  3x(x -12x) +3x² -2(x -2)²

  = 3x(-11x) +3x² -2(x² -4x +4) . . . . . simplify contents of parentheses

  = -33x² +3x² -2x² +8x -8 . . . . . . . .eliminate parentheses

  = (-33 +3 -2)x² +8x -8 . . . . . . . . . . group the coefficients of like terms

  = -32x² +8x -8

Oduvanchick [21]3 years ago
7 0

Answer:

Options (1),(3),(4) are correct and Options (2) and (5) are incorrect.

Step-by-step explanation:

3x(x-12x)+3x^{2}-2(x-2)^{2}

=3x(x-12x)+3x^{2}-2(x^{2}-4x+4)=3x^{2}-36x^{2}+3x^{2}-2x^{2}+8x-8=[tex]-32x^{2}+8x-8

In this question we do the the simplification of term -2(x-2)^2 by squaring (x-2) then we find simplified product is not a binomial.

After multiplying, the like terms are combined by adding and subtracting.

The parentheses are eliminated through multiplication and then

The final simplified product is -32x^{2}+8x-8

Therefore Options (1),(3),(4) are correct and Options (2) and (5) are not correct.


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an ellipse has a center at the origin , a vertex along the major axis at (13,0), and a focus at (12,0). What is the equation of
-BARSIC- [3]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Center = (0, 0)

Vertex = (13, 0)

Focus = (12, 0)

Process

From the data we know that it is a horizontal ellipse.

1.- Calculate "a", the distance from the center to the vertex.

                  a = 13

2.- Calculate "c", the distance from the center to the focus

                  c = 12

3.- Calculate b

Use the Pythagorean theorem to find it

                  a² = b² + c²

-Solve for b

                  b² = a² - c²

-Substitution

                  b² = 13² - 12²

-Simplification

                  b² = 169 - 144

                  b² = 25

                  b = 5

4.- Find the equation of the ellipse

                       \frac{x^{2} }{13^{2}} + \frac{y^{2}}{5^{2}} = 1    or \frac{x^{2} }{169} + \frac{y^{2}}{25} = 1

7 0
3 years ago
What is the answer to this?
oee [108]

Answer:

Quotient: 121

Remainder: 23

Step-by-step explanation:

So first see how many times 29 goes into 3532.

121

Next do 29 * 121 = 3509

Subtract that from 3532 = 23

4 0
3 years ago
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A population of fruit flies is increasing at a rate of 22.5%. If the population had an original size of 10 flies
Nitella [24]

Answer:

1304

Step-by-step explanation:

8 0
3 years ago
Kiara spent $36 and had $12 left.<br><br> what percent money did she spend
Illusion [34]

Answer:

she spent 75%

Step-by-step explanation:

5 0
3 years ago
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1. 112<br><br> 2. 136 <br><br> 3. 68 <br><br> 4. 158 <br><br> 5. 129
RideAnS [48]

Answer:

4. 158

Step-by-step explanation:

First let's make things a little simpler and put these arcs in terms of x.  We know that the degree measure around the outside of a circle, regardless of its size, is 360.  So let's say that arc BC is x.  That means that arc BDC is 360 - x.  This is because arc BC + arc BDC = 360.  Substituting in our x's we have:

x + 360 - x = 360 and

360 = 360.  (That's just the proof that putting in our x's as we did does in fact work!)

Following the formula then, we have

22=\frac{1}{2}(360-x-x) and

22=\frac{1}{2}(360-2x)

Multiply both sides by 2 to get rid of the fraction and get

44 = 360 - 2x

Subtract 360 rom both sides to get

-316 = -2x

Divide both sides by -2 to get that x = 158

Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.

3 0
3 years ago
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