Answer:
To get the x-intercept we need the equation of the parabola;
the vertex form of the equation is given by:
y=a(x-h)^2+k
where:
(2,13) is the vertex:
Therefore;
y=a(x-2)^2+13
when x=0, y=5
Therefore the value of a will be:
5=a(0-2)^2+13
5-13=4a
4a=-8
a=-2
therefore the equation of the parabola will be:
y=-2(x-2)^2+13
y=-2x^2+8x+5
the x-intercept will be:
x=2-sqrt(7.5)
or
x=2+sqrt(7.5)
Step-by-step explanation:
Answer:
45/1 and 180/4
Step-by-step explanation:
1. True
2. False
3. False
4. True
5. False
Answer:
f(4)=26
Step-by-step explanation:
f(2)=16
F(x) = kx+6
16=k(2)+6
16-6=k(2)
10=k(2)
<u>10</u> =<u>k(</u><u>2</u><u>)</u>
2 2
5= k
f(4)=k(4)+6
=5(4)+6
=20+6
f(4)=26
Answer:
C
Step-by-step explanation:
Growth can be represented by the equation 
. We know that r=2% or 0.02 in this situation so we have 1.02. We know t=100 hours and the starting population A=200. We substitute these values and use a calculator to evaluate.
We now use our calculator to evaluate the exponent first and then multiply by 200.
