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Nadya [2.5K]
3 years ago
7

Factoring trinomials

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

c^22c^2 + 13c +21 \\4c^2 + 13(2)c + 42\\(2c + 6)(2c+7)\\(c+3)(2c+7)


This is a way to factoring trinomials (there exist different equivalent methods).

Multiply the trinomial but the term accompanying  c^2. This is the second line. Then, you could take the square of the 4c^2, ant try to create a factor () () that will correspond to the expression in the second line. That is, we want 4c^2 + 13(2) c + 42 = (2c + ?) (2c + ?)

In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have (2c + 6) (2c +7)

The last step is divide by the number that we multipy in the first step.

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Help and explanation with this probability question would be really appreciated :)
GuDViN [60]

Answer:

b

Step-by-step explanation:

The probability (PB) is .4 or 4/10 or 2/5.

So, we'd do a proportion.

2/5=x/6

Cross multiply.

5x=12

Divide by sides by 5.

x=2.4

We round up to account for the .4

so b

I can't answer c right now, but I'll come back once my class is over :)

3 0
3 years ago
Population Growth Using 20th-century U.S. census data,
asambeis [7]

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here:  brainly.com/question/25504185

5 0
3 years ago
If lim(x->3) f(x)=7, which of the following must be true?
fenix001 [56]
<span>If lim(x->3) f(x)=7, then </span><span>f(3) = 7.</span>
5 0
3 years ago
I do not need an explanation, just a simple angle number!
Murljashka [212]

Answer:

Step-by-step explanation:

a + 143 = 180    {Linear pair}

a = 180 - 143

a = 37

37 + 93 + b = 180 {Angle sum property of triangle}

130 + b = 180

         b = 180 - 130

         b = 40

c + b = 90

c  + 40 = 90

c = 90 - 40

c = 50

d + 120 = 180   {Linear pair}

d = 180 - 120

d = 60

? = 60 + 40         {Exterior angle property of triangle}

? = 100

3 0
2 years ago
What is 14% of $59.99 and how do I figure this problem?
serious [3.7K]
Is/of =%/100 so x/59.99=14%/100 Cross multiply to get the answe
4 0
3 years ago
Read 2 more answers
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