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3 years ago

I appreciate anyone who helps me solve this math problem for Apex!

Mathematics

1 answer:

ohaa [14]3 years ago

4 0

Answer:

Option C

Step-by-step explanation:

We can easily see the solution by realizing that the quadratic function

y = x^2 + 2 has a discontinuity at x =1 (white dot at the graph)

So, the solution must have

y = x^2 + 2 , x < 1

And the only option in which this applies is Option C.

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2x+3y= 14 3х - 4 y = 4

goldenfox [79]

The solution to given system of equations are (x, y) = (4, 2)

Solution:

Given system of equations are:

2x + 3y = 14 ---------- eqn 1

3x - 4y = 4 --------- eqn 2

We have to solve the given system of equations

We can solve the above system of equations by elimination method

Multiply eqn 1 by 3

3(2x + 3y = 14)

6x + 9y = 42 --------- eqn 3

Multiply eqn 2 by 2

2(3x - 4y = 4)

6x - 8y = 8 ----------- eqn 4

Subtract eqn 4 from eqn 3

6x + 9y = 42

6x - 8y = 8

( - ) --------------

9y + 8y = 42 - 8

17y = 34

Substitute y = 2 in eqn 1

2x + 3(2) = 14

2x + 6 = 14

2x = 14 - 6

2x = 8

Thus the solution to given system of equations are (x, y) = (4, 2)

5 0

2 years ago

Please Help practice #3

algol [13]

Answer:

(2x+5)(4x+3)

Step-by-step explanation:

Given the expression 8x^2 + 26x + 15

Factorize

8x^2 + 26x + 15

= 8x^2 + 6x + 20x + 15

= 2x(4x+3) + 5 (4x+3)

= (2x+5)(4x+3)

Hence the factored form of the expression is (2x+5)(4x+3)

5 0

3 years ago

I need help with 2 questions about circumference. ITS ALMOST DUE 20 POINTS thank you

aksik [14]

Answer:

This is against the honor code sry :(

Step-by-step explanation:

"Students are never allowed to post questions directly from tests, quizzes, and assessments, or copy answers found on Brainly during tests, quizzes, and assessments."

3 0

2 years ago

Wal-Mart conducted a study to check the accuracy of checkout scanners at its stores. At each of the 60 randomly selected Wal-Mar

Mamont248 [21]

Answer:

The 95% confidence interval is

$0.7811 < p < 0.9529$

Generally the interval above can interpreted as

There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval

Generally 99% is outside the interval obtained in a above then the claim of Wal-mart is not believable

$n = 125 \ stores$

Step-by-step explanation:

From the question we are told that

The sample size is n = 60

The number of stores that had more than 2 items price incorrectly is k = 52

Generally the sample proportion is mathematically represented as

$\^ p = \frac{ k }{ n }$

=> $\^ p = \frac{ 52 }{ 60 }$

=> $\^ p = 0.867$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{ 0.867 (1- 0.867)}{60} }$

=> $E = 0.0859$

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.867 - 0.0859 < p < 0.867 + 0.0859$

=> $0.7811 < p < 0.9529$

Generally the interval above can interpreted as

There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval

Considering question b

Generally 99% is outside the interval obtained in a above then the claim of Wal-mart is not believable

Considering question c

From the question we are told that

The margin of error is E = 0.05

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$