Put the argument value where the variable is, then evaluate.
For f(x), you want f(2).
f(2) = 2² + 1 = 4+1 = 5
For g(x), you want g(1).
g(1) = 3·1 +1 = 4
For [f(2) - g(1)] you want the difference of the above values.
[f(2) - g(1)] = [5 - 4] = 1
Answer:
fifty-two. Explanation: g(h(−1 ))=g(x). x=h(−1)=4(−1)−3=−4−3=−7. g(x)= g(−7)=72+3=49+3=52.
Answer:
Part a)
Part b)
Step-by-step explanation:
Part 6)
a) How much edging is needed?
we know that
To find out how much edging is needed determine the circumference of the circular garden
The circumference of the circular garden is equal to
where
D is the diameter
we have
assume
substitute
Part b) we know that
To find out the cost to edge the garden, multiply the length of edging plastic needed by the cost of $4.53 per meter
so
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
Answer: 13/4
Step-by-step explanation:
3rd one