All of them involve y intercepts
f(x) means y
g(x) means y
y intercept is where the graph crosses the y axis or when x=0 so set x=0
f(x)
x=0 when y=-7.5
y int=-7.5
g(x)
x=0
set x=0
y=3^0-7
y=1-7
y=-6
f(x) yint=-7.5
g(x) yint=-6
A. y int of f(x) is less than yint of g(x)
-7.5<-6
true
B. this is oposite of A so this is wrong
C. this says that g(x) has no yint, false
D. they yints are eqla
-7.5=-6
false
answer is A
Negative six sevenths -6/7
The mistake is in step 3:
I: −2m =−12 − 2n
II: 2m = 8 + 8n
the student set both right sides of the equations equal (−12 − 2n = 8 + 8n), but the left sides aren't equal: first equation has -2m, second has +2m so the signs of one of the equations must be inverted first
Let the width be w, then length = 2w - 1
Area = length times width = w(2w - 1) = 21.
Thus, 2w^2 - w = 21 or 2w^2 - w - 21 = 0
Solving the quadratic equation gives that w = 3.5.
Therefore, width is 3.5 ft and length is 2(3.5) - 1 = 6 ft.
Answer:
John received 10% of the overall votes.
Step-by-step explanation:
Let us assume that the number of votes John got = m
So, the number of votes Vivienne received = 3 times (John's share )
= 3 times m = 3 m
Also, The number of Votes Nassim received = 2 times ( Vivienne's share)
2 x (3 m) = 6 m
Total Votes in the grade 6
= Votes received by { John + Vivienne + Nassim}
= m + (3 m) + (6 m) = 10 m
Hence, the total number of students who voted in grade 6 = 10 m
= 
or, The percentage of John's Votes = 10%
Hence, John received 10% of the overall votes.
