Answer:
f(x)=-10
Step-by-step explanation:
when you have f of x...any x gets the filled in by the number that is next to f
so f(x)=4x+2
f(x)=4*-3+2
f(x)=-10
Answer:
All whole numbers are rational numbers.
<u>False</u>
All integers are whole numbers.
<u>True</u>
<u />
There are integers that are not rational numbers.
<u>True</u>
There are whole numbers that are not integers.
<u>True.</u>
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
Answer:
zach ran 31680 feet over the weekend.
Step-by-step explanation:
1 mile = 5280, so 6 x 5280 = 31680
1) 6 positive
2) - $25 negative
3) -8 negative
4) 82 positive