Answer: the system has one solution which is x = 0, y = 5.
Explanation:
The pair of equations given constitute a system of two equations with two variables.
A system of linear equations may have a single solution, no solution (parallel lines) or infinite solutions (same line).
To find the solution or determine whether the system has one or infinite solutions, you may manipulate the equations.
This is the original systeym as given:
Multiply the first equation by 3 and the second equation by 2:
Subtract the first equation from the second:
Substitute x = 0 in any of the original equations to find y:
- 2y = 0 + 10
- 2y = 10
- y = 10 / 2
- y = 5
Hence, the system has one solution which is x = 0, y = 5.
Answer:
$879.19
Step-by-step explanation:
I'm not sure how you got that, but here's what I did.
To calculate tax:
Cost before tax * Tax% = Tax
$815.95 * 7.75% = $63.24
To calculate cost after tax:
Tax + Cost before tax = Cost after tax
$63.24 + $815.95 = $879.19
Answer:
20.
Step-by-step explanation:
That would be 2 1/2 divided by 1/8
= 5/2 / 1/8
= 5/2 * 8
= 40/2
= 20.
This reduced fraction would be c. x+y/8.
You can apply the Difference of Two Squares Formula (x^2+y^2)=(x+y)(x-y). Then, you can factor out the common term 8 and cancel out the common factor x-y. Hope this helps! :)
Answer:
D: {9, 21, 33}
Step-by-step explanation:
Ken worked 2, 8 and 14 hours on 3 separate days.
For working 2 hours, his earnings were f(2) = 2(2) + 5, or 9;
For working 8 hours, his earnings were f(28) = 2(8) + 5, or 21; and
For working 14 hours, his earnings were f(14) = 2(14) + 5, or 33
Thus, the range of this function for the days given is {9, 21, 33} (Answer D)
