201
Which equation, when paired with y = 2x+5,
creates an inconsistent system?
O 2x + y = 5
o y = 2x + 5
O 2x - 4y = 10
O 2y - 4x = -10
10
X
-20
20
DONE
-101
-20

Answers

Answer 1
2y-4x=-10 is an answer
If you simplify this, you will get y=2x-5 which would represent that this line is parallel to the one above.
Answer 2

The pair of equations creates an inconsistent system will be y = 2x + 5 and 2y - 4x = -10. Then the correct option is D.

What is a linear equation?

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slopes are equal but have different intercepts then the lines are parallel, then the system has no solution or is inconsistent.

The equation is given as,

y = 2x + 5

Check option D, then we have

2y - 4x = -10

y - 2x = - 5

y = 2x - 5

The slope of the lines is the same but with different intercepts.

Thus, the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ7


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Answers

Answer:

The correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is

contained by the interval (0.54 , 5.18)

Step-by-step explanation:

Given that:

for women

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sample mean [tex](\bar X_1)[/tex] = 24.75

standard deviation s₁ = 2.84

for men

sample size for men = n₂ = 7

sample mean [tex](\bar X_2)[/tex] = 21.89

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degree of freedom = [tex](n_1 + n_2 )-2[/tex]

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= 21

The critical value for [tex]\alpha = 0.1 \ and \ df \ of \ 21 \ is :[/tex]

[tex]t_{0.005;21}= 1.721[/tex]

The pooled standard deviation can be calculated as follows since the population variances are assumed to be equivalent.

[tex]s_p = \sqrt{\dfrac{(n_1 -1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}[/tex]

[tex]s_p = \sqrt{\dfrac{(16 -1)2.84^2+(7-1)3.29^2}{16+7-2}}[/tex]

[tex]s_p = \sqrt{\dfrac{(15)8.0656+(6)10.8241}{21}}[/tex]

[tex]s_p = 2.976[/tex]

The standard error is estimated as follow:

[tex]se = s_p\sqrt{\dfrac{1}{n_1} + \dfrac{1}{n_2}}[/tex]

[tex]se = 2.976\sqrt{\dfrac{1}{16} + \dfrac{1}{7}}[/tex]

se = 1.348

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[tex]=(24.75 - 21.89 -1.721 \times 1.348 \ \ , \ \ 2475 - 21.89 + 1.721 \times 1.348) \\ \\ \mathbf{ = (0.54 \ \ , \ \ 5.18)}[/tex]

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Answer:

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The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes

How to express exponents in standard notation?

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Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;

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The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation

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