Answer:
No Solution
Step-by-step explanation:
If two lines have the same slope and different y-intercepts, that means there is no solution. If the y-intercept and the slope are the same, it will have infinite solutions... So because these have the same slope, but different y-intercepts, they won't have any solution.
Answer:
x<4
Step-by-step explanation:
To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.
First, expand 4(x-3).
This will obtain:
Now, shift x terms and integers on each side.
After simplifying, it will get:
Finally, we can solve for x.
We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.
Answer:
Option D
Step-by-step explanation:
A reporter collects a random sample of 50 runners from all the runners who finished the Cherry Blossom Ten Mile Run in 2009 and constructs a 99% confidence interval for the true mean finish time to be (86.05, 99.38) minutes.
Assuming the reporter performed the calculations correctly, which of the following statements are appropriate interpretations of this confidence interval?
We can expect that 99% of confidence intervals created using the same method the reporter used will contain the true mean run time for runners of this race.
Answer:
A math test
Step-by-step explanation:
Answer:
C. x=3 and y=−6
Step-by-step explanation:
Step: Solvex−2y=15for x:
x−2y=15
x−2y+2y=15+2y(Add 2y to both sides)
x=2y+15
Step: Substitute2y+15forxin2x+4y=−18:
2x+4y=−18
2(2y+15)+4y=−18
8y+30=−18(Simplify both sides of the equation)
8y+30+−30=−18+−30(Add -30 to both sides)
8y=−48
8y8=−488(Divide both sides by 8)
y=−6
Step: Substitute−6foryinx=2y+15:
x=2y+15
x=(2)(−6)+15
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−6
