Answer:
The function has a maximum value of 3 that occurs at x = 1.
Step-by-step explanation:
First, note that the leading coefficient is negative. This means that the parabola will curve downwards. Because of this, the function has a maximum. The maximum value will simply be the vertex.
The formula for the x-coordinate of the vertex is -b/2a.
a=-3, b=6, c=0
Plug in the numbers:
x=-(6)/2(-3)
=-6/-6=1
Now, plug 1 back into the original function:
-3x^2+6x
-3(1)^2+6(1)
=-3(1)+6
=-3+6
=3
Answer:63 degrees
Step-by-step explanation:
90-27=63
Ducks have 1 head. Dogs have 1 head.
Ducks have 2 feet. Dogs have 4 feet.
If x = no. of ducks and g = no. of dogs
x + g = 25
2x + 4g = 80
Let's use substitution to solve.
x + g = 25 ⇒ x = 25 - g
replace x with 25 - g in the other equation and solve for g
2x + 4g = 80
2(25 - g) + 4g = 80
50 - 2g + 4g = 80
50 + 2g = 80
2g = 30
g = 15
Now use g = 15 in an earlier equation to find x.
x + g = 25
x + 15 = 25
x = 10
Answer:
a) y=1/3x-2
b) y=1/5x+2
c) y=
Step-by-step explanation:
SOLUTION:
We are to make S the subject of the formula;
The correct option is the third one.
