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3 years ago

Factor the polynomial. x2 - 6x + 9 A) (x - 9)(x - 1) B) (x - 3)(x + 3) C) (x + 9)(x + 1) D) (x - 3)(x - 3)

Mathematics

2 answers:

mihalych1998 [28]3 years ago

6 0

X² - 6x +9
x -3
x -3

D) (x - 3) (x -3) is your answer

To check, do your FOIL
x(x) = x^2
x(-3) = -3x
-3(x) = -3x
-3(-3) = 9
x^2 -6x +9 True

hope this helps

andrezito [222]3 years ago

5 0

Hello there!

$x^2 -6x+9

=(x-3)(x-3)

The correct answer is option D$

-----------------
I added a picture that will help you in the future and I recommend you to memorize them. At least, write them in your notebook.

~Credit to google image~

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Use long division to find the quotient: 7/8. I just don´t get it?

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Answer:

0.875

Step-by-step explanation:

you just divide 7 by 8, and you would get 0.875

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2 years ago

A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte

kotykmax [81]

Answer:

P(t) = 400×2^(t/2)
6400
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Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

(initial population) = 400

(growth factor) = 800/400 = 2

(growth period) = 2 . . . . hours

So, our population function can be written as ...

P(t) = 400×2^(t/2)

2) Putting t=8 into the formula, we get ...

P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

3) Fill in the given number and solve for t.

2270 = 400×2^(t/2)

2270/400 = 2^(t/2)

Taking logs, we have ...

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3 years ago

Divide 169 mi in the ratio 5 : 8.

puteri [66]

5 + 8 = 13

169/13 = 13

13 * 5 = 65

13 * 8 = 104

Thus, 65:104

4 0

3 years ago

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telo118 [61]

Answer:

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Step-by-step explanation:

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2 years ago

If the measure of arc CB is 8/3 units, what is the measure of CAB?

Oksanka [162]

Question:

If the measure of arc CB is $\frac{8}{3} \pi$ units, what is the measure of ∠CAB?

Answer:

120°

Step-by-step explanation:

The figure has been attached to this response.

The figure shows a circle centered at A and has a radius of 4 units.

Also, the length of the arc CB (as given in the question) is $\frac{8}{3} \pi$ units.

The length L of an arc is given by;

L = $\frac{\beta }{360} * 2\pi * r$ -----------------(i)

Where;

β = angle subtended by the arc at the center of the circle and measured in degrees

r = radius of the circle

From the question;

β = ∠CAB

r = 4 units

L = $\frac{8}{3} \pi$

Substitute these values into equation (i) as follows;

$\frac{8}{3} \pi$ = $\frac{\beta }{360} * 2\pi * 4$

=> $\frac{8}{3} \pi$ = $\frac{\beta }{360} * 8\pi$

Cancel 8 $\pi$ on both sides

$\frac{1}{3}$ = $\frac{\beta }{360}$

Cross multiply

3 x β = 360 x 1

3β = 360

Divide both sides by 3

$\frac{3\beta }{3} = \frac{360}{3}$

β = 120°

Therefore, the measure of ∠CAB is 120°

6 0

2 years ago