The 2 because we don't know if it is exactly two or if was was rounded up/ down to 2.
You have to do -b/2a and put a square at the end of each =. You have to make it equal to 0 first though
The function f(x) is:
f(x)=x
This is because the line f(x) passes through the points (-1,-1), (0,0), (1,1) etc.
The function p(x) is:
p(x)=mx+C
Whereby (m) is the slope and (C) is a constant.
m=-4/3, as m=tan(ω)=O/A=-4/3 as slope is negative.
Now when y=-3, x=-3.
So:
-3=-4/3 *(-3) +C
-3= 4 + C
C=-7
This means that:
p(x)=-4/3x -7
Now, where p(x)=g(x), x=-6.
p(-6)=-4/3 * (-6) -7
p(-6)=24/3 -7
p(-6)=8-7
p(-6)=1
Therefore:
p(x) and g(x) meet at (-6, 1) and the solution to p(x)=g(x) is x=-6.
Answer:
a. The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2).
Step-by-step explanation:
The second equation needs to be ...
5x +5y = 50
because the wording "short of $18" means that the actual cost of that purchase would be $18 more than the $32 that Harry had. 18+32 = 50.
The only answer choice that shows this as the second equation is choice A.
__
In fact, the solution to the system of equations is (8, 2), as can be seen in the graph below.
The scale factor is 1.5, which means that the revised
chamber is larger. The new dimensions are just the old dimensions times 1.5.
The volume of the revise chamber is:
V = (1/3) (PI) [(D/2)^2] (H)
= (1/3) (PI) {[(5.7)(1.5)/2]^2} [(12)(1.5)]
= 344.4874 in3
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