What’s the answer ?

Evgen [1.6K]

The system of equations represented by the graph is:

y = x - 6

y + x = -2

And the solution is (2, -4), then the correct option is the first one.

<h3>What system is represented by the graph?</h3>

On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.

The line with a positive slope intercepts the y-axis at y = -6, then that line is:

y = a*x - 6

with a > 0.

The other line passes through the y-axis at y = -2, then the linear equation is:

y = b*x - 2

Where b < 0.

Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)

The only option that meets all the criteria is the first option:

y = x - 6

x + y = -2

And the solution is (2, -4)

Learn more about systems of equations:

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5 0

1 year ago

What is the slope of a line parallel to the line

Setler79 [48]

For
ax+by=c
the slope is -a/b
the slope of paralell lines are the same

fidn slope

5x+3y=15
-a/b=-5/3
paralell as same slope
answer is A

6 0

3 years ago

Can someone help pls

cestrela7 [59]

1. $\frac{6}{12} = \frac{1}{2}$

2. $\frac{24}{30} = \frac{4}{5}$

3. $\frac{9}{36} = \frac{1}{4}$

4. $\frac{15}{24} = \frac{5}{8}$

5. $\frac{9}{18} = \frac{1}{2}$

6. $\frac{12}{9} = \frac{4}{3}$

7. $\frac{5}{10} = \frac{1}{2}$

8. $\frac{24}{32} = \frac{3}{4}$

9. $\frac{10}{35} = \frac{2}{7}$

10. $\frac{18}{90} = \frac{2}{10} = \frac{1}{5}$

11. $\frac{8}{32} = \frac{1}{4}$

12. $\frac{18}{14} = \frac{9}{7}$

13. $\frac{2}{6} = \frac{1}{3}$

14. $\frac{12}{18} = \frac{6}{8} = \frac{3}{4}$

15. $\frac{24}{9} = \frac{8}{3}$

16. $\frac{7}{28} = \frac{1}{4}$

17. $\frac{6}{21} = \frac{2}{7}$

4 0

3 years ago

eu (european union) countries report that 46% of their labor force is female. The United Nations wnats to determine if the perce

Brrunno [24]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

EU (European Union) countries report that 46% of their labor force is female. The United Nations wants to determine if the percentage of females in the U.S. labor force is the same. Based on a sample of 500 employment records, representatives from the United States Department of Labor found that the 95% confidence interval for the proportion of females in the U.S. labor force is 0.357 to 0.443. If the Department of Labor wishes to tighten its interval, they should:

A. increase the confidence level

B. decrease the sample size

C. increase the sample size

D. Both A and B

E. Both A and C

Solution:

Confidence interval for population proportion is written as

Sample proportion ± margin of error

Where sample proportion is the point estimate for the population proportion.

Margin of error = z × √pq/n

The z score for 95% confidence level is 1.96

p = 46/100 = 0.46

q = 1 - p = 1 - 0.46

q = 0.54

n = 500

Margin of error = 1.96√0.46 × 0.54/500 = 0.044

To tighten it's interval, the margin of error needs to be reduced.

If we increase the confidence level, say to 99%, z = 2.58

Then

Margin of error = 2.58√0.46 × 0.54/500 = 0.058

It increased

Also, If we increase the sample size, say to 700, then

Margin of error = 1.96√0.46 × 0.54/700 = 0.037

It has reduced

Therefore, the correct options is

C. increase the sample size

8 0

3 years ago

Question 10

Bond [772]

Answer:

( x - 2)^2 + ( y - 3)^2 = 34

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( a, b) - the center of the circle

( x, y) - any point on the circle

r^2 - radius of the circle

( -3 , 6) - point - ( x, y)

x = -3

y = 6

( 2 , 3) - center-( a, b)

a = 2

b = 3

Step 1: substitute the center into the equation

( x - 2)^2 + ( y - 3)^2 = r^2

Step 2: sub the point into the equation

( x - 2)^2 + ( y - 3)^2 = r^2

( -3 - 2)^2 + ( 6 - 3)^2 = r^2

( -5)^2 + 3^2 = r^2

25 + 9 = r^2

34 = r^2

Step 3: sub the radius into the equation

( x - 2)^2 + ( y - 3)^2 = r^2

( x - 2)^2 + ( y - 3)^2 = 34

Therefore, the equation of the circle is

( x - 2)^2 + ( y - 3)^2 = 34

3 0

4 years ago