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NeTakaya
2 years ago
14

Select the two values of x that are roots of this equation.

Mathematics
1 answer:
makkiz [27]2 years ago
5 0

Answer:

\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • A quadratic equation is given to us.
  • The equation is 2x² + 7x +6=0

And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,

<u>Given </u><u>equation</u><u> </u><u>:</u><u>-</u>

\implies 2x^2 + 7x +6=0

Step 1: <u>Find</u><u> out</u><u> the</u><u> </u><u>factors</u><u> </u><u>of </u><u>1</u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .

  • And 3 + 4 = 7. So we will break the middle term into 3x and 4x .

Step 2 :<u> Breaking</u><u> the</u><u> </u><u>middle</u><u> term</u><u> </u><u>:</u><u>-</u><u> </u>

\implies 2x^2 + 3x+4x +6=0

Step 3: <u>Take </u><u>out </u><u>common</u><u> </u><u>from </u><u>terms </u><u>:</u><u>-</u>

\implies x(2x + 3) +2(2x +3)=0

\implies ( x +2)(2x+3)=0

Step 4 : <u>Equate </u><u>them </u><u>with </u><u>0</u><u> </u><u>:</u><u>-</u><u> </u>

\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}

<u>Hence </u><u>the</u><u> </u><u>correct</u><u> </u><u>options </u><u>are </u><u>C </u><u>and </u><u>D </u><u>.</u>

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Allison sent and received 240 text messages last month. 20% of those messages were sent to her best friend. How many text messag
goldenfox [79]

Answer:

48

Step-by-step explanation:

because 20% of 240 is 48.

7 0
3 years ago
Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.
FromTheMoon [43]

Answer:

x=1.578

Step-by-step explanation:

Given equation is 3-x = 3(6x-9)

We need to find the value of x

3-x = 3(6x-9)

Distribute 3 in the right-hand side  

3-x=18x-27

Add both sides x

3-x+x=18x+x-27\\3=19x-27

Now, add both sides 27

3+27=19x-27+27\\30=19x

Divide both sides by 19

\frac{30}{19}=\frac{19x}{19}\\x=1.578

So, x=1.578

5 0
3 years ago
9. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140
guapka [62]

Answer:

Profit Function, P(x) Total Income minus Total Cost. Profit ... The next unit will make this Revenue. Marginal Cost Function, C'(x) The next unit will be this Cost ... A manufacturing company produces and sells tables. The cost function is given by: where x is the number of tables. The tables are sold for $200 each. Find . 1. The total cost of ...

Step-by-step explanation:

6 0
3 years ago
SOMEONE PLEASE HELP I will mark you BRAINLIST
bazaltina [42]

Answer:

20 degrees

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
A company has 200 machines. Each machine has 129 probability of not working. If you were to pick 40 machines randomly, the proba
alexgriva [62]

The probability that 5 would not be working is 0.18665, the probability that at least one machine would be working is 0.00602 and the probability that all would be working is 1.

Given a company has 200 machines. Each machine has a 12% probability of not working.

If we working pick 40 machines randomly then we have to find the probability that 5 would not be working, the probability that at least one machine would be working, and the probability that all would be working.

So

1) probability that 5 would not be working

C(40,5)·0.12⁵·0.88³⁵= 40!/(5!(40-5)!)·0.12⁵·0.88³⁵

                                ≈ 0.18665

2)  probability that at least one machine would be working

0.88⁴⁰ ≈ 0.00602

3) probability that all would be working

1 - 0.12⁴⁰ ≈ 1.0000

Learn more about probability here: brainly.com/question/24756209

#SPJ10

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