We are given the functions:
P (x) = 0.9 x
C (x) = x – 150
We can generate two composition functions from the given
two functions in the form of:
<span>P [C (x)] and
C [P (x)]</span>
Since the problem states that we are to find for the final
price after a 10% discount is followed by a $150 coupon then we should
find for:
C [P (x)]
The value of C [P (x)] can obtained by plugging in the
value of P (x) into x in the equation of C (x), therefore:
C [P (x)] = [0.9 x] – 150
<span>C [P (x)] = 0.9 x – 150 (ANSWER)</span>
Answer:
Step 4
part a: no answer yet still having trouble showing my work
part b:
-0.125(x-24)^2+50
-0.125(x-24)(x-24)+50
-0.125(x^2-24x-24x+576)+50
-0.125(x^2-48x+576)+50
-0.125x^2+6x-75+50
-0.125x^2+6x-22
a=-0.125
b=6
c=-22
part c: yes he went through
part d:
plug in roots (4,0) and (44,0)
if x is 4 and y is 0
0=-0.125(4)^2+6(4)-22
0=-2+24-22
0=-2+2
0=0
if x=44 and y=0
0=-0.125(44)^2+6(44)-22
0=-242+264-22
0=-242+242
0=0
Answer with Explanation:
If a polygon has symmetry, then it has reflective portion over the line of symmetry.
Note that a rectangle doesn't have the diagonal lines of symmetry since its portion doesn't overlap another.
The simplest symmetry is Reflection Symmetry (sometimes called Line Symmetry or Mirror Symmetry). It is easy to see, because one half is the reflection of the other half.
I hope it will help you.
Answer:
Total items = $39.90
Sales tax amount = $3.7905
Total cost = $43.691
The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items
Step-by-step explanation:
Dress = $24.95
Skirt = $14.95
steps the clerk completed.
Step 1: 24.95 + 14.95 = 39.90
Step 2: 39.90 +9.5 = 49.40
Correct steps:
Total items = dress + skirt
= $24.95 + $14.95
= $39.90
Sales tax = 9.5%
Sales tax amount = 9.5% of total
= 9.5/100 × $39.90
= 0.095 × 39.90
= $3.7905
Total cost = Total + sales tax amount
= $39.90 + $3.7905
= $43.6905
To the nearest hundredth
= $43.691
Sales tax is the amount of money imposed by government on the sales of some items
Total cost is the cost of all items including sales tax
Step-by-step explanation:
I would say the one that says after eliminating a variable,the result is x=0
cause the zero can change into any number.
