<span>Average profit from the sale of 1 piece of furniture = 3x + 1
Average number of pieces of furniture that can be made using current supply of raw materials = 3x - 1.
Therefore,
Average profit of total furniture = Average profit X Average total of furniture sold
= (3x + 1) X (3x - 1)
= 9x^2 - 1</span>
Answer: First, draw and label a number line. Then plot the five values that are given above the line. Draw a box from the lower quartile to the upper quartile, with a line dividing it at the median. Then draw lines from the minimum and maximum values connecting to the box to form the whiskers.
Answer:
6/12, 8/12, and 9/12.
Step-by-step explanation:
Let's find the least common denominator:
First, the least common multiple of 2, 3, and 4 is 12.
12 is divisible by 2, 3, and 4.
<u>Next, multiply the denominators with the numerators:</u>
Products: 6/12, 8/12, and 9/12
To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:
r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).
Answer:
∡ZA = 66°
Step-by-step explanation:
Suplementary angles sum 180°
ZA + ZB = 180°
then:
(2x - 14)° + (3x-6)° = 180°
2x + 3x - 14 - 6 = 180
5x - 20 = 180
5x = 180 + 20
5x = 200
x = 200/5
x = 40
then:
∡ZA = (2x - 14)
∡ZA = (2*40 - 14)
∡ZA = (80-14)
∡ZA = 66°
