A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:
y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)
In this case we are given that (h,k) is (-5,80) so we have so far:
y=a(x--5)^2+80
y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:
-45=a(0+5)^2+80
-45=25a+80 subtract 80 from both sides
-125=25a divide both sides by 25
-5=a, so now we know the complete vertex form is:
y=-5(x+5)^2+80
The x-intercepts occur when y=0 so:
0=-5(x+5)^2+80 add 5(x+5)^2 to both sides
5(x+5)^2=80 divide both sides by 5
(x+5)^2=16 take the square root of both sides
x+5=±√16 which is
x+5=±4 subtract 5 from both sides
x=-5±4 so the x-intercepts are:
x=-1 and -9
The answer is 30
2 * 15 = 30
5 * 6 = 30
30 is between 24 and 34
Answer:
Just here for points XD.
Step-by-step explanation:
Answer:
A = 3/2
B = 3
C = 6
D = 12
Step-by-step explanation:
Simply plug it in. When you have a negative exponent, you basically switch the sign of the exponent and put a one over the number itself.
- So we have 2^-1. This is the same as
= a
- Now do
= b
- Then do
= c
- Finally do
= d
Answer:
113.26087 as a fraction equals 11326087/100000
Step-by-step explanation:
To write 113.26087 as a fraction you have to write 113.26087 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
113.26087 = 113.26087/1 = 1132.6087/10 = 11326.087/100 = 113260.87/1000 = 1132608.7/10000 = 11326087/100000
