<h3>
<u>Explanation</u></h3>
f(a) means the value of f(x) is ... when x = a. That means if we substitute x = 3, we would get f(3).
f(3) also means the value of f(x) is ... when x = 3.
f(x) can also be defined as y // f(x) = y
You can find the value of f(x) at specific domain from the graph by looking at x = 3 then look up to where the point or where the graph passes. From the graph, when x = 3 as we look up and the graph passes y-coordinate at 1.
Therefore we can say that when x = 3, y = 1.
<h3>
<u>Answer</u></h3>
f(3) = 1
Vertex form is
y=a(x-h)^2+k
vertex is (h,k)
axis of symmetry is x=4, therfor h=4
y=a(x-4)^2+k
we have some points
(3,-2) and (6,-26)
input and solve for a and k
(3,-2)
-2=a(3-4)^2+k
-2=a(-1)^2+k
-2=a(1)+k
-2=a+k
(6,-26)
-26=a(6-4)^2+k
-26=a(2)^2+k
-26=a(4)+k
-26=4a+k
we have
-2=a+k
-26=4a+k
multiply first equation by -1 and add to second
2=-a-k
<u>-26=4a+k +</u>
-24=3a+0k
-24=3a
divide both sides by 3
-8=a
-2=a+k
-2=-8+k
add 8 to both sides
6=k
the equation is
Product means multiplication. Since it's asking you to write an algebraic expression with a variable, w, the answer is 737w.
You'll need to convert both speeds into yards per minute.
12 mph = 12 mph 1760 yd 60 min
---------- * ------------ * ----------
1 mile 1 hr
Note that "miles" cancels. So does "hours." Finish this work.
Then convert 4.4 ft/sec into yards per minute.
Then, finally, compare your two rates via subtraction of the smaller from the larger.
4(x+5)+6=2(2x+3)
4x+20+6=4x+6
4x+26=4x+6
Get letters on left...so subtract 4x from right and do same to left
26=6
no solution because 26 does not equal 6