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Lyrx [107]
3 years ago
13

X^2+7x+12=0, can you help me solve this

Mathematics
1 answer:
devlian [24]3 years ago
6 0
<span>X^2+7x+12=0
(x + 4)(x + 3) = 0
x + 4 = 0; x = -4
x + 3 = 0; x = -3

answer
</span>x = -4 and x = -3
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2. Find the lateral area and surface area of the<br> prism.<br> 4 cm<br> 5 cm<br> 4 cm<br> 3 cm
Vaselesa [24]

Answer:

Lateral = 48 cm squared and Surface area = 60 cm squared

Step-by-step explanation:

Lateral surface area  = 4 x 4 + 5x4( Slope) +  4 x 3 (Cross section x2) = 48

Surface area: Lateral + 4x3(base)

4 0
3 years ago
Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
3 years ago
Read 2 more answers
Which of the following modifications to the list of assets and liabilities below would result in an increase in net worth?
jolli1 [7]

The modifications made to the list of assets and liabilities that would result in an increase in net worth is Option D. Net worth is defined as the value of all the non-financial and financial assets owned by an individual or an institution.

All of the above (Putting $100 in savings, Paying $100 on credit cards and Getting paid $100)

5 0
3 years ago
Read 2 more answers
Image inserted
Sergio039 [100]

Answer:

Subtract 6

Step-by-step explanation:

The answer is subtract six because you subtract six every time in the pattern.

7 0
3 years ago
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Given the data shown below, which of the following is the best approximation of the coefficient of determination (r^2)
HACTEHA [7]

The coefficient of determination can be found using the following formula:

r^2=\mleft(\frac{n(\sum ^{}_{}xy)-(\sum ^{}_{}x)(\sum ^{}_{}y)}{\sqrt[]{(n\sum ^{}_{}x^2-(\sum ^{}_{}x)^2)(n\sum ^{}_{}y^2-(\sum ^{}_{}y)^2}^{}}\mright)^2

Using a Statistics calculator or an online tool to work with the data we were given, we get

So the best aproximation of r² is 0.861

8 0
1 year ago
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