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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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If y = 6, what is the value of x given 8x + 5y = 62?
lord [1]

Answer:

x=4

Step-by-step explanation:

For this, we have to plug the y-value into the equation.

8x+5(6)=62

Now we solve for x: 8x+30=62

8x=32

x=4

Therefore, x=4

I hope this helped and have a good rest of your day!

5 0
3 years ago
Read 2 more answers
Although the actual amount varies by season and time of​ day, the average volume of water that flows over the falls each second
lutik1710 [3]
Given that <span>the average volume of water that flows over the falls each second is 4.8 \times 10^5 gallons.

There are 3,600 seconds in one hour.

Thus, in one hour, 4.8 \times 10^5\times3600=17280\times10^5=1.728\times10^9 gallons of water </span><span>flows over the falls.

</span>Therefore, the amount of water that flows over the falls is <span>1.728\times10^9.</span>
3 0
2 years ago
Ten pictures, each measuring 4 inches by 6 inches, are mounted on a piece of green poster board so that there is no overlap. The
alexandr1967 [171]

Answer:

100 square inches

Step-by-step explanation:

Dimension of each of the ten pictures= 4 inches by 6 inches

Area of one of the pictures=4*6=24 Square Inch.

Total Area of the 10 pictures=24*10=240 Square Inches.

Dimension of the Poster Board=20 inches by 17 inches.

Area of the Poster Board=20*17=340 Square Inches.

Area not covered by the pictures=340-240=100 Square Inches

Therefore, 100 square inches of the green background will show after the pictures are mounted.

3 0
2 years ago
Hii! please help i’ll give brainliest
Lapatulllka [165]

Answer:

The Indus river valley.

7 0
3 years ago
A group of children were asked if they like eating cupcakes or brownies.
Korvikt [17]

Answer:

It’s 0.30

Step-by-step explanation:

I took the test bro

4 0
2 years ago
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