Answer:
(2,-1.5)
Step-by-step explanation:
6x-4y=18
-x-6y=7
Switch the second equation from standard form to y=mx+b form
-x-6y=7→ -x=7+6y → multiply both sides by -1→ x=-7-6y
Substitute all of the things that equal x into the other equation into x
6x-4y=18→ 6(-7-6y)-4y=18
Simplify
-42-36y-4y=18
Bring - 42 to the other side and add like terms
-42-36y-4y=18→ -40y= 60
Solve for y
y=-1.5
Choose an equation and plug y in it.
-x-6(-1.5)=7
-x+9=7
-x=-2
Multiply both sides by -1
x=2
Answer:
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
Step-by-step explanation:
Given:
Product of 2x^2 – 3xy + y^2 and 2x – 4y
Product means multiplication
(2x^2 – 3xy + y^2) (2x – 4y)
Open the bracket
= 4x^3 - 8x^2y - 6x^2y + 12xy^2 + 2xy^2 - 4y^3
Simplify the like terms
= 4x^3 - 14x^2y + 14xy^2 - 4y^3
The answer is
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
Answer:
x = 6.3375
Step-by-step explanation:
sin53 = 4/5 (roughly) = 5.07/x
=> 4x = 25.35
=> x = 6.3375
Answer:
2424.5
904.16
Step-by-step explanation:
the mean = ∑frequency /n
∑f = 5+17+36+115+125+81+47+45+22+7 = 500
∑xf = 1212250
∑x²f = 3347037625
sample mean = 1212250/500
= 2424.5
variance = 1/500-1[3347037625 - 1212250²]
= 815710.02
standard deviation is = √variance
standard deviation = √815710.02
= 904.16
Answer:
6
Step-by-step explanation: Multiply 8 and 8 then divide it by 12