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diamong [38]
4 years ago
14

What is the complete factorization of x2 + 2x − 63? A. (x + 21)(x − 3) B. (x − 9)(x + 7) C. (x + 9)(x − 7) D. (x − 21)(x + 3)

Mathematics
1 answer:
Marizza181 [45]4 years ago
5 0

Answer:

(x + 9)(x - 7)

Step-by-step explanation:

We want to factorize x^2 + 2x - 63

We need to find two numbers such that their product is -63 and they add up to +2. The two numbers are +9 and -7:

x^2 + 9x - 7x - 63\\\\= x(x + 9) -7(x +9)\\\\ = (x +9)(x -7)

The complete factorization is (x + 9)(x - 7)

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At the Washington zoo 3/8 of the animals are monkeys, if there are 64 animals in total how many animals are monkeys
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You can do a quick multiplication to figure this out:

64 * ⅜ = 24
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Grace ran 8 laps and walked 3 laps around the gym track. Grace ran twice as many laps as Tami ran. Then Tam walked twice as many
GrogVix [38]

Answer:

Grace

Step-by-step explanation:

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6 0
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7 0
3 years ago
It is claimed that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%. A
attashe74 [19]

Answer:

Conclusion is that there is sufficient evidence to reject the claim that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%.

Step-by-step explanation:

We are given;

Population proportion; p = 60% = 0.6

Sample mean: x¯ = 315

Sample size; n = 500

Significance level = 0.09

Defining the hypothesis, we have;

Null Hypothesis; H0: p = 0.6

Alternative hypothesis; Ha: p > 0.6

z-score formula in this case is;

z = (x¯ - np)/√(np(1 - p))

Plugging in the relevant values;

z = (315 - (500 × 0.6))/√(500 × 0.6(1 - 0.6))

z = 1.72

From z-distribution table, the p-value at z = 1.72 is;

1 - P(Z ≤ z-score)

This gives:

p-value = 1 - 0.95728 = 0.04272

Thus p-value is less than the significance level of 0.09, thus we will reject the null hypothesis and conclude that there is sufficient evidence to reject the claim that the proportion of people who favor the use of oxygenated fuels year around to reduce air pollution is 60%.

6 0
3 years ago
PLEASE HELP!<br> WILL MARK BRAINLIEST!
RideAnS [48]

Answer:

1) 7m

2) 13

3) 4x^2y

4) 6s^3t^4

Step-by-step explanation:

gcf means the the greatest factor that works for both terms

1) 21m^3 and 28m

    let's first find the gcf for the coefficient

    21 and 28, the gcf is 7. (hopefully thats easy to explain)

    the gcf for the variables is the same mindset as the numbers

    m^3 and m, both can be factored by m

    so the gcf is 7 * m which is 7m

2)

  13x and 26

  let's first find the gcf for the coefficient

  13 and 26, gcf is 13

  there's only one variable, x, so there's not gcf for that

 so the gcf is just 13

3)

  8x^2y and -12x^3y^2

  let's first find the gcf for the coefficient

  8 and -12, the gcf is 4 (you can also say -4)

  for the variables , same mindset

 x^2y and x^3y^2

 the gcf for x is x^2, and for y it is just y

 so 4 * x^2 * y = 4x^2y

by understanding 3) hopefully you can understand 4)

pls comment for any questions

7 0
4 years ago
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