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crimeas [40]
3 years ago
15

Factoring polynomials 3x^2+42x+72

Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

Answer:

3(x + 12)(x + 2)

Step-by-step explanation:

Given

3x² + 42x + 72 ← factor out 3 from each term

= 3(x² + 14x + 24) ← factor the quadratic

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term.

The factors are + 12 and + 2, since

12 × 2 = 24 and 12 + 2 = 14, thus

x² + 14x + 24 = (x + 12)(x + 2) and

3x² + 42x + 72

= 3(x + 12)(x + 2) ← in factored form

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If you were 2 years old in 2011 how old would you be in 2020?
Roman55 [17]

Answer:

11 years

Step-by-step explanation:

2 years that you were in 2011

2020-2011= 9

2+9=11

also meaning they were born in 2009

2020-2009 also equals 11

this prolly doesnt make sense but hope it helps :) <3

4 0
3 years ago
Read 2 more answers
What is the answer to this question ?
Arisa [49]

Answer:

4

Step-by-step explanation:

h(7)= 7²-1= 49-1= 48

f(h(7))= 48/3 -12

= 16-12

= 4

7 0
4 years ago
Suzanne needs material for her school project. She buys 4.75 yards of material at $5.37 a yard. What is the total cost of the ma
vovangra [49]
The material costs 5.37 for 1 yard.

 Multiply the cost of 1 yard by the number of yards bought:

5.37 per yard x 4.75 yards = $25.51 Total cost.

The answer would be D.
3 0
3 years ago
the volume of hemisphere is 1527.4cm^3.find the radius of the hemisphere to the nearest whole whole number.(take π to be 22/7)​
skelet666 [1.2K]

Answer:

radius of the hemisphere = 9 cm approx

Step-by-step explanation:

Volume of hemisphere = \frac{2}{3} \pi r^{3}

1527.4 = \frac{2}{3} * \frac{22}{7} * r^{3}

\frac{7*15274*3}{2*22*10} = r^{3}

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r^{3} = 729

r = \sqrt[3]{729}

r = 9 cm approx.

6 0
3 years ago
The equation 9 x 2 − 12 x + 4 = 0 9 x 2 − 12 x + 4 = 0 has how many different solutions?
Hatshy [7]

We have the equation:

9x^2-12x+4=0

so:

a=9\qquad b=-12\qquad c=4

and:

\Delta=b^2-4ac=(-12)^2-4\cdot9\cdot4=144-144=\boxed{0}

This equation has one solution.

5 0
3 years ago
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