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3 years ago

HELP ME PLEASE 75 points. FASTTT

Mathematics

2 answers:

kolbaska11 [484]3 years ago

6 0

Answer:

X=2,3

Step-by-step explanation:

Allisa [31]3 years ago

6 0

Answer:

It should be x=3

Step-by-step explanation:

You might be interested in

If x^2 +x-12 is a factor of x^3+ax^2-10x-b then find the values of a and b

Marysya12 [62]

Answer:

a=3

b=24

Step-by-step explanation:

If $x^2+x-12$ is a factor of $x^3+ax^2-10x-b$ , then the factors of $x^2+x-12$ must also be factors of $x^3+ax^2-10x-b$ .

So what are the factors of $x^2+x-12$ ? Well the cool thing here is the coefficient of $x^2[tex] is 1 so all we have to look for are two numbers that multiply to be -12 and add to be positive 1 which in this case is 4 and -3.-12=4(-3) while 1=4+(-3).So the factored form of [tex]x^2+x-12$ is $(x+4)(x-3)$ .

The zeros of $x^2+x-12$ are therefore x=-4 and x=3. We know those are zeros of $x^2+x-12$ by the factor theorem.

So x=-4 and x=3 are also zeros of $x^3+ax^2-10x-b$ because we were told that $x^2+x-12$ was a factor of it.

This means that when we plug in -4, the result will be 0. It also means when we plug in 3, the result will be 0.

Let's do that.

$(-4)^3+a(-4)^2-10(-4)-b=0$ Equation 1.

$(3)^3+a(3)^2-10(3)-b=0$ Equation 2.

Let's simplify Equation 1 a little bit:

$(-4)^3+a(-4)^2-10(-4)-b=0$

$-64+16a+40-b=0$

$-24+16a-b=0$

$16a-b=24$

Let's simplify Equation 2 a little bit:

$(3)^3+a(3)^2-10(3)-b=0$

$27+9a-30-b=0$

$-3+9a-b=0$

$9a-b=3$

So we have a system of equations to solve:

16a-b=24

9a-b=3

---------- This is setup for elimination because the b's are the same. Let's subtract the equations.

16a-b=24

9a-b= 3

------------------Subtracting now!

7a =21

Divide both sides by 7:

a =3

Now use one the equations with a=3 to find b.

How about 9a-b=3 with a=3.

So plug in 3 for a.

9a-b=3

9(3)-b=3

27-b=3

Subtract 27 on both sides:

-b=-24

Multiply both sides by -1:

b=24

So a=3 and b=24

7 0

4 years ago

What is the circumference of a circle with weight of 3 1/8 inches?

MrRissso [65]

A circle can’t weigh any inches just gonna say that now. Assuming you meant “height” of 3.125 inches, then the circumference is C=2(pi)r, where r is 1/2 the height (radius is half of the diameter, this situation the diameter being 3.125 inches.

Circumference would be approximately 9.8174770424681 inches—
Or shortened to 2 decimals it’s approximately
9.82 inches
Or approximately
9.8 inches
Or approximately
10 inches

6 0

4 years ago

have two hats. In one hat are balls numbered 1 through 15. In the other hat are balls numbered 16 through 25. I first choose a h

Pavel [41]

Answer:

0.2239

Step-by-step explanation:

Given that you have two hats. In one hat are balls numbered 1 through 15. In the other hat are balls numbered 16 through 25. I first choose a hat, then from that hat, I choose 3 balls, without replacing the balls between selections.

Either I or II hat can be selected.

Prob of selecting any one hat = 0.5

After selecting I hat, selecting 3 balls can be done in 15C3 ways and from II hat it can be done in 10C3 ways.

total no of ways of selecting 3 balls = (10+15)C3 = 2300

Probability required $=\frac{0.5*15C3+0.5*10C3}{2300} \\=\frac{455+60}{2300} \\=0.2239$