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nordsb [41]
3 years ago
10

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? {–12, 2} {–2, 12}

Mathematics
2 answers:
kenny6666 [7]3 years ago
8 0

Answer:

The solution set is {-12,2}.

Step-by-step explanation:

We have given a quadratic equation.

x² + 10x = 24

We have to find the solution of above equation by completing square.

Adding (5)² to both sides of above equation, we have

x²+10+(5)²  = 24+ (5)²

(x+5)² = 24+25

(x+5)² = 49

Taking square root to both sides of above equation, we have

x+5 = ±7

x+5 = 7 or x+5 = -7

x = 7-5 or x = -7-5

x = 2 or  x = -12

Hence, the solution set is {-12,2}.

guajiro [1.7K]3 years ago
3 0

Answer: I could be wrong so don't get your hopes up but I believe the solution set would be {-2,12}

Step-by-step explanation:

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Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

H_{0}: p = 0.29

We want to test the hypothesis that this is true, so the alternate hypothesis is:

H_{a}: p \neq 0.29

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that \mu = 0.29, \sigma = \sqrt{0.29*0.71}

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that n = 100, X = 0.21

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}

z = -1.76

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation

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3 years ago
Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

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