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pentagon [3]
3 years ago
14

Which of the following represents the factorization of the binomial below?

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Answer:

D

Step-by-step explanation:

x² - 81 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Here a = x and b = 9, thus

x² - 81 = (x + 9)(x - 9) → D

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A newspaper provided a​ "snapshot" illustrating poll results from 1910 professionals who interview job applicants. The illustrat
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confidence level is missing

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<em>1.confidence level  </em>

The results can be given only in a predetermined confidence level

<em>2. point estimate</em>

The illustration states the estimate 26% of the professionals who interview job applicants said the biggest interview turnoff is that the applicant did not make an effort to learn about the job or the company.

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Apple cost $3.60 for 2lb. at that rate how many pounds of apples can you buy for $5.40
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6 0
3 years ago
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Suppose a large shipment of telephones contained 21% defectives. If a sample of size 498 is selected, what is the probability th
grandymaker [24]

Answer:

P(-3\% < x < 3\%) = 0.901

Step-by-step explanation:

Given

p = 21\%

n = 498

Required

P(-3\% < x < 3\%)

First, we calculate the z score

z = \sqrt{p * (1 - p)/n}

z = \sqrt{21\% * (1 - 21\%)/498}

z = \sqrt{21\% * (79\%)/498}

z = \sqrt{0.1659/498}

z = \sqrt{0.000333}

z = 0.0182

So:

P(-3\% < x < 3\%) = P(-3\%/0.0182 < z

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From z probability, we have:

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6 0
3 years ago
Solve the system of equations.<br> – 9y + 4x – 11 = 0<br> - 3y + 10x + 31 = 0
Kruka [31]

value of x =-4 and value of y=-3

(-4,-3) is the solution of system of equations.

Step-by-step explanation:

We need to solve the system of equations

-9y + 4x-11 = 0- 3y + 10x + 31 = 0

Rearranging:

-9y + 4x = 11\,\,\,eq(1)\\- 3y + 10x=- 31 = 0\,\,\,eq(2)

Multiply eq(2) with 3 and subtract eq(2) from eq(1)

-9y + 4x = 11\\-9y+30x=-93\\+\,\,\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\-26x=104\\x=\frac{104}{-26}\\x=-4

Putting value of x = -4 into eq(1)

-9y + 4x = 11\\-9y+4(-4)=11\\-9y-16=11\\-9y=11+16\\-9y=27\\y=\frac{27}{-9}\\y=-3

So, value of x =-4 and value of y=-3

(-4,-3) is the solution of system of equations.

Keywords: system of equations.

Learn more about system of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/7490805
  • brainly.com/question/13168205

#learnwithBrainly

5 0
3 years ago
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