Answer:
3/8
Step-by-step explanation:
Rearrange, find common denominator.
Answer is 7.
55+5X=90
5X=90-55
5X=35
X=35/5
X=7
Answer: y-32+4y
Step-by-step explanation:
y-32: the difference of y and 32. +4y : <u>plus the product of y and 4</u>
Answer:
g(x) has the greater max: 11 versus 6
Step-by-step explanation:
One can readily discern the max value of the graph; it is 6 and occurs at x =1.
Regarding the function g(x) = (-1/2)x^2 + 4x + 3: Find the vertex, which also represents the max value:
Here the coefficients are a = -1/2, b = 4 and c = 3, so that the axis of symmetry is:
x = -b/(2a), which here is x = -4 / ( 2·[-1/2] ) = -4 / (-1) = 4
At x = 4, the function (y) value is
g(4) = (-1/2)(4)² + 4(4) + 3, or
g(4) = -8 + 16 + 3, or 11
This is greater than the max value of the graphed function.
