2 years ago

What numbers multiply to make 9 but also add to make negative 10

Mathematics

1 answer:

yaroslaw [1]2 years ago

8 0

-1 and -9 multiply to make 9 but add to make -10

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There are four blue marbles, an unknown number of red (r) marbles, and six yellow marbles in a bag. Which expression represents

MAXImum [283]

Answer:

There are a total of 4 + r + 6 marbles in the bag

The probability of a blue is $\frac{4}{10+r}$

The probability of a red is $\frac{r}{10+r}$

The probability of choosing a blue, replacing it and then a red is

$\frac{4}{10+r}$ × $\frac{r}{10+r}$ = [tex]\frac{4r}{100+20r+ r^{2} /[tex]

Step-by-step explanation:

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2 years ago

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alexandr402 [8]

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2 years ago

Write a rational equation that cannot have a solution at x = 2

balandron [24]

Answer: 5+7=2x

Step-by-step explanation:

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3 years ago

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kumpel [21]

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2 years ago

(X-2) is a factor of x^4+2x^3-7x^2-8x+12. The other factors are ____, ____, and _____

Vika [28.1K]

We have

$\dfrac{x^4+2x^3-7x^2-8x+12}{x-2}=x^3+4x^2+x-6$

The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that $x=-2$ is a root, since $(-2)^3+4(-2)^2+(-2)-6=0$ , so $x+2$ is also a factor and we have

$\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3$

Finally, we can factorize the remaining quotient easily:

$x^2+2x-3=(x+3)(x-1)$

so the other factors are $x+2$ , $x+3$ , and $x-1$ .

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3 years ago