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Arlecino [84]
2 years ago
9

The complete factorization of -12x^3 + 14x^2 +6x is -2x(ax + 1)(2x-3). What is the value of a?

Mathematics
1 answer:
tester [92]2 years ago
4 0

Answer:

a = 3

Step-by-step explanation:

-12x³+14x²+6x = -2x(ax+1)(2x-3)

<em>Divide both sides by -2x(2x-3)</em>

\frac{-2x(ax+1)(2x-3)}{-2x(2x-3)} = - \frac{12x^{3} }{-2x(2x-3)} + \frac{14x^{2} }{-2x(2x-3)} +\frac{6x}{-2x(2x-3)}

ax+1=3x+1

<em>Subtract 1 from both sides</em>

ax=3x

<em>Divide both sides by x</em>

a=3

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A standard die is rolled two times. What is the probability that it lands on 5 both times?
klio [65]

Answer:

1/36

Step-by-step explanation:

A die can roll a 1,2,3,4,5,6

P (5) = number of 5's / total

        = 1/6

The 2nd roll is independent so the probability is the same

P (5) = number of 5's / total

        = 1/6

P(5, 5) = 1/6*1/6 = 1/36

8 0
2 years ago
A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 10 minutes th
Papessa [141]

Answer:

18 minutes

Step-by-step explanation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is the time,

and T is the half life.

A = 140 when t = 10.  Solve for the half life:

140 = 700 (½)^(10 / T)

0.2 = ½^(10 / T)

log 0.2 = (10 / T) log 0.5

10 / T = 2.32

T = 4.31

When A = 40, t is:

40 = 700 (½)^(t / 4.31)

0.057 = ½^(t / 4.31)

log 0.057 = (t / 4.31) log 0.5

t / 4.31 = 4.13

t = 17.8

Rounded to the nearest whole number, it takes 18 minutes.

4 0
3 years ago
Write an expression that is equal to 3 × 2 1/4
Vera_Pavlovna [14]
Convert the mixed number 2 1/4 into an improper fraction:  9/4.

Then multiply this 9/4 by 3:  27/4, or 6 3/4.
5 0
3 years ago
The rest of the page help please !!
GalinKa [24]
2.333<span> =2 1/3 
</span><span>0.8333=<span>5/6
A is like toats larger but feel to bored to explain it 
A becaus eit does not give fraction always change to fractions</span></span>
6 0
2 years ago
What is mercury's distance from the sun?
Whitepunk [10]
35.98 million miles from the sun
3 0
3 years ago
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