Y=2x+5
sub 2x+5 for y in other equaiton
10x+3(2x+5)=19
distribute
10x+6x+15=19
minus 15 from both sides
16x=4
divide both sides by 16
x=1/4
sub back
y=2x+5
y=2(1/4)+5
y=1/2+5
y=5.5=11/2
solution is (1/4,11/2) or in decimal, (0.25,5.5)
Answer:
VW = 3
Step-by-step explanation:
From the diagram, we know that UW = 11.
We also know that UV + VW = UW, because UW is the length of the whole segment.
Using substitution (knowing 2 of the line segments), we find that 8 + VW = 11.
If we subtract 8 from both sides using inverse operations, we find that VW = 3, which is the answer.
Hope this helps!
Given:
Population mean, μ = 10
Population standard deviation, σ = 1.5
Random variable, x = 11.
By definition, the z-score is
z = (x - μ)/σ
= (11 - 10)/1.5
= 0.667
Answer: 0.667
