We are given here the individual costs of DVD and CD as well as the total sales and the number of items sold on one day. To solve the number of DVDs and CDs sold each, we devise two independent linear equations:
(1) x + y = 39
(2) 4x + 7y = 204
x- number of DVDs; y - number of CDs
solving, x= 23 DVDs
y = 16 CDs
Step-by-step explanation:
A=4πr^2=4·π·10^2≈1256.63706ft²
Answer is 1256ft^2
Answer:
1. parental function is g(x)=√x
2. parental function is g(x)=3√x
Step-by-step explanation:
1. To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function: g(x)=√x
Horizontal Shift: None
Vertical Shift: Down 9 Units
Reflection about the x-axis: None
Vertical Stretch: Stretched
2. Parent Function: g(x)=3√x
Horizontal Shift: Left 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: Reflected
Vertical Compression: Compressed
Answer:
They sold
20 Roses and 20 Carnations
Step-by-step explanation:
The total sales of 40 flowers is $100 not $10 as in the question
Roses=$3
Carnations=$2
Total flowers sold=40
Total sales=$10
Let Roses=r
Carnations=c
c+r=40. (1)
3r+2c=100 (2)
From (1)
c=40-r
Substitute c=40-r into (2)
3r+2c=100
3r+2(40-r)=100
3r+80-2r=10
r=100-80
r=20
Substitute r=20 into (1)
c+r=40
c+20=40
c=40-20
=20
c=20
r=20
Check:
3r+2c=100
3(20)+2(20)=100
60+40=100
100=100
