Step-by-step explanation:
this is the answer in the picture
1 in 100 or 1/100 would be the probability
Answer:
Solution set {x|x<8}
Step-by-step explanation:
0.35x - 4.8<5.2- 0.9x
0.35x+0.9x<5.2+4.8
1.25x<10
x<10/1.25
x<8
Solution set {x|x<8}
Answer:
$3 for Syd and $5 for Mark
Step-by-step explanation:
when Mark worked 8 hours and Syd worked 10 hours they earned $80
when Mark worked 9h Syd worked 5h they earned $65
we can make a equation out of these information
8M + 10S = $80
9M + 5S = $65 we can use the systems of equations by eliminating method
multiply second equation by -2
-2 × (9M + 5S) = $65
-18M - 10S = -$130 now add up the new equation with the first one
8M + 10S - 18M - 10S = $80 - $130 (10S will eliminate -10S)
-10M = -$50
10M = $50
M = $5
we can use hourly rate we found for M (Mark) to find the hourly rate for S (Syd)
9×5 + 5S = $65
45 + 5S = $65
5S = $15
S = $3
Complete theh square
isolate x terms
factor out coefient of x^2 term
take 1/2 of 1st degree coefient and square it, add positive and negative inside parnthasees, expand
f(x)=(2x^2+12x)+7
f(x)=2(x^2+6x)+7
6/2=3, 3^2=9
f(x)=2(x^2+6x+9-9)+7
f(x)=2((x+3)^2-9)+7
f(x)=2(x+3)^2-19+7
f(x)=2(x+3)^2-12
