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Mice21 [21]
2 years ago
12

The factors of x2 + x – 12​

Mathematics
1 answer:
amm18122 years ago
6 0

Answer:

x^2+x-12=(x-3)(x+4)

Step-by-step explanation:

To factor x^2+x-12

Find factors of -12 that have a sum of 1.

Factors of -12:  1 and -12, 2 and -6, 3 and -4, 3 and -3, 6 and -2, 12 and -1

Factors of -12 that have a sum of 1:  -3 and 4

Therefore, x^2+x-12=x^2+4x-3x-12

Factor:  x(x+4) -3(x+4)

Factor out common term (x+4):  (x-3)(x+4)

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If the volume of the pyramid shown is 216 in 3, what is the area of its base?
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volume =1/3×base area×height

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In a contest to guess the number of jelly beans in a jar, Alice guessed 25;Betty, 18;Clare,23;Dotty,19;Edith,24;and Fran,17. Two
vampirchik [111]

Answer:

<em>There are 21 jelly beans in the jar.</em>

Step-by-step explanation:

Suppose, the number of jelly beans in the jar is  x

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5 0
3 years ago
A man invests $2000 in an account that pays 6.5% interest per year, compounded quarterly.
skelet666 [1.2K]

Answer:

The correct answer is a. $2275.28; b. 17.04 years

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Principal to be invested is $2000

Interest rate (r) per year is 6.5 quarterly.

Interest is calculated compoundly.

a. Time (t) for the investment is given to be 2 years.

Amount after two years is = Principal × ( 1+ \frac{r}{100n}) ^ {nt} where the value of n is 4.

⇒ A = 2000  × ( 1+ \frac{6.5}{400}) ^ {8}

⇒ A = $2275.28.

b. Now the value of A is given to be triple the principal = $ (3 × 2000).

Therefore we need to find the value of t.

⇒ 3 × 2000 =  2000  × ( 1+ \frac{6.5}{400}) ^ {4t}

⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)

⇒ t = 17.04

Therefore it would take 17.04 years for the principal to triple.

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3 years ago
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Answer:

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