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2 years ago

Factor the expression below. 9x^2-1 A. (3x - 1)(3x - 1) B. (3x - 1)(3x + 1) C. (x - 1)(9x - 1) D. (x - 1)(9x + 1)

Mathematics

1 answer:

aliya0001 [1]2 years ago

6 0

Answer:

(3x + 1) • (3x - 1)

Step-by-step explanation:

Step by Step Solution

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STEP

Equation at the end of step 1

3 ${}^{2}$ x ${}^{2}$ - 1

STEP

Trying to factor as a Difference of Squares:

2.1 Factoring: 9x ${}^{2}$ -1

Theory : A difference of two perfect squares, A ${}^{2}$ - B ${}^{2}$ can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A ${}^{2}$ - AB + BA - B2 =

A ${}^{2}$ - AB + AB - B2 =

A ${}^{2}$ - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : 1 is the square of 1

Check : x ${}^{2}$ is the square of x1

Factorization is : (3x + 1) • (3x - 1)

Final result :

(3x + 1) • (3x - 1)

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Lerok [7]

Answer:

$\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}$

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

We know $1 \cdot 35 = 35$ , so two factors are 1 and 35.
We know $5 \cdot 7 = 35$ , so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be $\frac{2}{6} = \frac{1}{3}$ since there are two factors and 6 possible options.

This means, logically, there is a $\frac{4}{6} = \frac{2}{3}$ chance of not rolling a factor of 35.

Hope this helped!

5 0

3 years ago

For every person who has the flue, there are 6 people who have have only flu-like symptoms. If doctor sees 40 patients, determin

nasty-shy [4]

Hello! To solve this question, you'll need to set up a ratio to represent this problem. If there are 6 people who have flu-like systems for every 1 person who has the flu, the ratio would be 6:1. Use this ratio to find the number of patients with only flu-like symptoms.
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12:2
18:3
24:4
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3 0

3 years ago

-3×+7y=5<br> -8×+14y=-10<br> By elimination

dimaraw [331]

-3x+7y=5 (x2) -> -6x+14y=10

-6x+14y=10
-8x+14y=-10
——————— -
2x=20
x=20/20
x=1

Susbstitute x=1,

-8x+14y=-10
-8(1)+14y=-10
-8+14y=-10
14y=-10+8
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I hope it helps

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3 years ago

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nalin [4]

Answer:

the graph of the parabola opens upwards.

Step-by-step explanation:

For any quadratic equation of the form

$ax ^ 2 + bx + c$ is true that: