Answer:
75
Step-by-step explanation:
hope this helps
F(x)=25-x^2
g(x)=x+5
f/g(x)=(25-x^2)/(x+5)
f(x) is in binomial form so 25-x^2 can also be written as (5-x)(5+x)
so
f/g(x)=(5-x)(5+x)/(x+5)
f/g(x)=5-x
Answer:
C. Greg weighs 180 pounds, and Justin weighs 165 pounds
Step-by-step explanation:
let G be the weight of Greg and J be the weight of Justin
G -15=J
G/2 +75=J
G =J+15 (1)
G+150=2J. (2)
If We substitute G by J+15 in equation (2) we will get:
G =J+15
J+15+150=2J
G =J+15
J+15+150=2J
G =J+15
J+165=2J
then J=165 and G=165+15=180
Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
