Answer:
m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area
Step-by-step explanation:
We are given that The cost for the raw materials of marble countertops, C s can be represented by the function c(a) = 4.25a --------1
a = area of the countertops.
we are also given that The retail markup, m, can be represented by the function m(c) = 1.15c.
We are supposed to find function can be used to find the marked-up price of a marble countertop depending on the area?
Marked up price function : m(c) = 1.15c.
Substitute the value of c form 1
Marked up price function of a marble countertop depending on the area:
m(c(a))=1.15(4.25 a)
m(c(a))= 4.8875 a
So, Option 1 is true
Hence m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area
Answer:
Area of the composite figure is 130.6
Step-by-step explanation:
Given:
The composite figure = Area of square pyramid +Area of Cube
height is given as 6 in.
base is given as 4 in.
Now we need to find the Area of the Square pyramid.
Area of Square Pyramid =
Substituting the values we get
Area of Square Pyramid =
Area of Square Pyramid ≈
Now Area of Cube =
Area of Composite figure = Area of Square Pyramid + Area of Cube =
A. solve for 1 variable
let's solve for x in 2nd equation
add 2y to both sides
x=2y+4
sub 2y+4 for x in other equation
3(2y+4)+y=5
6y+12+y=5
7y+12=5
minu12 both sides
7y=-7
divide 7
y=-1
sub back
x=2y+4
x=2(-1)+4
x=-2+4
x=2
(2,-1)
B. eliminate
eliminate y's
multiply first equation by 2 and add to first
6x+2y=10
<u>x-2y=4 +</u>
7x+0y=14
7x=14
divide by 7
x=2
sub back
x-2y=4
2-2y=4
minus 2
-2y=2
divide -2
y=-1
(2,-1)
(2,-1) is answer
South west
Shifting 4 units left (decreasing in x-axis by 4 units)
Shifting 5 units down (decreasing in y-axis by 5 units)
Apply to every vertices coordinates(x - 4, y - 5)
New coordinates
A(-2, -1)
B(-1, -4)
C(1,0)