Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
<h3>Answer:</h3>
x + 0.75y = ≤ 35
<h3>Explanation:</h3>
The amount of candy purchased, plus the amount of soda purchased times the amount per soda must be less than or equal to 35.
<em>I hope this helps, let me know if it's wrong though.</em>
I don’t even know what to say.
Answer:
b = 28
Step-by-step explanation:
8*21 then 168/6 = 28
We are given the functions:
<span>P (d) = 0.75 d --->
1</span>
<span>C (P) = 1.14 P --->
2</span>
The problem asks us to find for the final price after
discount and taxes applied; therefore we have to find the composite function of
the two given functions 1 and 2. To solve for composite function of the final
price of the dishwasher with the discount and taxes applied, all we have to do
is to plug in the value of P (d) with variable d into the equation of C (P).
That is:
C (P) = 1.14 (0.75 d)
C (P) = 0.855 d
or
<span>C [P (d)] = 0.855 d</span>
