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Molodets [167]
2 years ago
15

Factor the greatest common factor from the polynomial 3x^2 + 6x -9

Mathematics
1 answer:
ryzh [129]2 years ago
4 0

Answer:

3(x+3)(x -1)

Step-by-step explanation:

3x^2 + 6x -9

All the terms in this polynomial are divisible by 3. Factor 3 out of this polynomial:

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

Now, factor inside the parentheses by grouping:

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

We knew to split the +2x up into -1x and 3x because -1 and 3 multiply to get -3, which is the last value in the polynomial.

= 3(x(x -1)+3(x -1))\\= 3(x+3)(x -1)

Therefore, the final factored polynomial is 3(x+3)(x -1).

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22. Isosceles triangle EFG is shown below inscribed in circle 0. If the measure of ZGEF is 34°, determine the measure of EHG. WI
strojnjashka [21]
This would be your answer

5 0
2 years ago
Someone pls help me plsss
Lelu [443]

Answer:

A) 2 5/12

Step-by-step explanation:

The word <u>MORE </u>refers to subtraction. If you know how to calculate fractions. Great! You should know what 2 3/4 - 1/3 equals. But if you do not:

You can use a regular calculator. Just convert everything to decimals. ( "/" means divide)

3/4 (3÷4) = 0.75 (dont forget the 2 since is has 2 3/4) so 2.75.

1/3 (1÷3) = 0.33<u>3 </u>(underline or overline (above the number) means that number repeats. if you are using a calculator. just max the numbers out till you can put it anymore.

2.75 - 0.<u>3</u> = 2.41<u>6</u>. Now you dont know what that 416 is so just subtract the answers until it matches.

B) 1 ÷ 12 = 0.8<u>3. </u> well it isnt 416 so that isnt right.

4 ÷ 7 = 0.571... (... means a bunch of numbers that go on and on.) again that isnt correct. Now lets try A):

5 ÷ 12 = 0.41<u>6</u>!

Hope this helps!

~R3VO

6 0
3 years ago
- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :
RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
Jim is 3 times as old as his cousin Anthony the difference in their age is 18.How old is Jim?
IgorC [24]
Let's create expressions and equations to model this situation. Let Anthony's age be a.

"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18

How old is Jim?

Let's solve the above equation for a to first find Anthony's age.

    3a - a = 18
    2a = 18
    a = 9

Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.

    3a
    3(9)
    27

Answer:
Jim is 27 years old.
6 0
3 years ago
A circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio. Approximately how many feet
vivado [14]

Answer:

37.68

i took the test hope this helped

4 0
2 years ago
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