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finlep [7]
2 years ago
14

(_+10)(_+-1)= 11x^2+17x-10 in factored form

Mathematics
1 answer:
Sever21 [200]2 years ago
4 0

Answer:

The factored form will be:

11x^2+17x-10=\left(11x-5\right)\left(x+2\right)

Step-by-step explanation:

Given the expression

11x^2+17x-10

Breaking the expression into groups

=\left(11x^2-5x\right)+\left(22x-10\right)

  • factoring out x from 11x²-5x

11x²-5x = x(11-5)

  • factoring out 2 from 22x-10

22x-10 = 2(11x-5)

so the expression becomes

=x\left(11x-5\right)+2\left(11x-5\right)

factoring out common term 11x-5

=\left(11x-5\right)\left(x+2\right)

Therefore, the factored form will be:

11x^2+17x-10=\left(11x-5\right)\left(x+2\right)

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frutty [35]

Answer:

There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.

Step-by-step explanation:

With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:

  • n=4 (the amount of batteries picked for the sample).
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  • k≥1 (the amount of dead batteries in the sample needed to not sell the package).

The probability of having k dead batteries in the sample is:

P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}

Then, the probability of having one or more dead batteries in the sample (k≥1) is:

P(x\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{4}{0} p^{0}q^{4}=1*1*0.7^4=0.2401\\\\\\P(x\geq1)=1-0.2401=0.7599\approx0.76

8 0
2 years ago
24 is 3 more than a number p
rewona [7]

Answer: 24 = 3 + P

Step-by-step explanation: 24 is 3 more than a number P can be represented in the equation form of 24 = 3 + P

To solve it:

3 + P = 24

3 - 3 + p = 24 -3

p = 21

7 0
3 years ago
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Nat2105 [25]

The orange one is an example of alternate interior angles.

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2 years ago
What is the solution to the inequality -13x+6<14-5x
kvv77 [185]

Answer:

x > -1

Step-by-step explanation:

-13x+6

-13x+5x

-8x

\frac{-8x}{-8} >\frac{8}{-8}

x>-1

* Remember that,

if you have a negative sign (-) infront of the x you have to change the direction of the inequality sign.

Hope this helps you .

Let me know if you have any other questions :-)

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