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zhannawk [14.2K]
3 years ago
11

Factor the quadratic expression 3x to the 2nd power +9x +6

Mathematics
1 answer:
Naily [24]3 years ago
6 0

Answer:

3(x + 1)(x + 2)

Step-by-step explanation:

Given

3x² + 9x + 6 ← factor out 3 from each term

= 3(x² + 3x + 2) ← factor the quadratic

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)

The factors are + 1 and + 2, since

2 × 1 = 2 and 2 + 1 = 3, thus

x² + 3x + 2 = (x + 1)(x + 2) and

3x² + 9x + 6 = 3(x + 1)(x + 2)

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Use the associative property to identify wich expression is equal to (10)(5x)(7).
Fofino [41]
I think the answer is A. (7)(5x)(10)

5 0
3 years ago
Milton makes trail mix for his hiking group he makes a 1 and 1/4 pound of peanuts 14 oz of raisins 12 oz of walnuts in 10 oz of
strojnjashka [21]

Answer:

Each hiker receives 7 ounces of trail mix

Step-by-step explanation:

Trail mix=quantity of peanuts+quantity of raisins+quantity of walnuts+quantity of chocolate chips

where;

Quantity of peanuts=1.25 pounds

Quantity of raisins=14 oz, since 1 pound=16 oz.

Quantity of raisins=(14/16)=0.875 pounds

Quantity of walnuts=12 oz=(12/16)=0.75 pounds

Quantity of chocolate chips=10 oz=(10/16)=0.625 pounds

Replacing;

Trail mix=(1.25+0.875+0.75+0.625)=3.5 pounds

Trail mix=Quantity per hiker×Number of hikers

where;

Trail mix=3.5 pounds

Quantity per hiker=q

Number of hikers=8

Replacing;

3.5=q×8

q=3.5/8=0.4375 pounds

I pound=16 ounces

q=0.4375×16=7 ounces

Each hiker receives 7 ounces of trail mix

8 0
3 years ago
The population of Virginia is 30% less than the population of Georgia. If
Advocard [28]

7,150,000

The population of Georgia is 10,500,000.

The population of Virginia is 30% less than that.

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3 0
3 years ago
What is (6*2)+12*2/4
pishuonlain [190]

Answer:

(6)(2)+

(12)(2)

4

=18

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write the equation of the line in slope- intercept form:<br> 9y-27x=18
PilotLPTM [1.2K]

The slope-intercept form:

y=mx+b


9y-27x=18      <em>add 27x to both sides</em>

9y=27x+18      <em>divide both sides by 9</em>

\boxed{y=3x+2}

4 0
3 years ago
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