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3 years ago

Factor completely: 3a2 − 14a − 24

Mathematics

2 answers:

GalinKa [24]3 years ago

7 0

I know what it is. it is (3a+4)(a-6)

Lostsunrise [7]3 years ago

4 0

Answer:

The correct option is (3a+4)(a-6)

Step-by-step explanation:

We have the polynomial $3a^2-14a-24$

For the polynomials of the form $ax^2+bx+c$ we have to rewrite the middle term as a sum of two terms whose product is, in this case, a.c=-72 and whose sum is b=(-14)

We have to factorize -14 from -14a:

$3a^2-14(a)-24=\\3a^2-(18-4)(a)-24=\\=3a^2-18a+4a-24$

Because b=(-18)+4=(-14) and a.c=(-18).4=(-72)

Now we have to factor by grouping:

$3a^2-18a+4a-24=\\(3a^2-18a)+(4a-24)=\\3a(a-6)+4(a-6)=\\=(3a+4)(a-6)$

Then, the correct option is (3a+4)(a-6)

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Lizbeth deposited $6200 into a savings account for which interest is compounded monthly at a rate of 2.37%. How much interest wi

aleksley [76]

A=6200(1+0.0237/12)^12*8
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8 0

3 years ago

Read 2 more answers

rusak2 [61]

Answer:

(1.13, 7.74) and (-4.13, 18.26)

Step-by-step explanation:

This can be solved in two ways: mathematically and graphically.

<u>Graphing</u>

Plot both lines and find where they intersect. See the attachment.

The intersection points are (1.13, 7.74) and (-4.13, 18.26)

<u>Mathematical</u>

y + 2x = 10

y = 10 - 2x

y = 3x² + 7x - 4

10 - 2x = 3x² + 7x - 4

3x² + 9x - 14 = 0

Solve this using the quadratic equation:

x = 1.13 and -4.13

Use these two values of x to find y:

y = 10 - 2x

y = 10 - 2(1.13)

y = 7.74

y = 10 -2x

y = 10 -2(-4.13)

y = 18.26

The two points are:

(1.13, 7.74) and (-4.13, 18.26)

7 0

2 years ago

Among 46- to 51-year-olds, 28% say they have called a talk show while under the influence of peer pressurepeer pressure. Supp

sasho [114]

Answer:

0.8997, 0.9999

Step-by-step explanation:

Given that among 46- to 51-year-olds, 28% say they have called a talk show while under the influence of peer pressure.

i.e. X no of people who say they have called a talk show while under the influence of peer pressure is binomial with p = 0.28

Each person is independent of the other and there are only two outcomes

n =7

a) the probability that at least one has not called a talk showcalled a talk show while under the influence of peer pressure

= $P(Y\geq 1)$ where Y is binomial with p = 0.72

= $1-(1-0.72)^7\\=0.9999$

b) the probability that at least one has called a talk showcalled a talk show while under the influence of peer pressurepeer pressurethe probability that at least one has not called a talk showcalled a talk show while under the influence of peer pressure

= $P(x\geq 1) =1-P(0)\\= 1-(1-0.28)^7\\=0.8997$