1. 2 - 3z/4 = 1/8z + 9 (simplify 3/4z to 3z/4)
2. 2 - 3z/4 = z/8 + 9 (simplify 1/8z to z/8)
3. 16 - 6z = z + 72 (multiply both sides by 8 (the LCM of 4,8)
4. -6z = z + 72 - 16 (subtract 16 from both sides)
5. -6z = z + 56 (simplify z + 72 - 16 to z + 56)
6. -6z - z = 56 (subtract z from both sides)
7. -7z = 56 (simplify -6z - z to -7z)
8. z = 56/-7 (divide both sides by -7)
9. z = -8. (simplify 56/7 to 8)
So in conclusion your answer to the equation would be -8.
The slope of the linear function is 3 and the y-intercept is -3 if the linear function contains the following points: (0,-3) and (6,15)
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
We have:
A linear function contains the following points: (0,-3) and (6,15)
The slope:
m = 18/6
m = 3
The equation of a line:
y = mx + c
Plug x = 0, y = -3
-3 = c
Thus, the slope of the linear function is 3 and the y-intercept is -3 if the linear function contains the following points: (0,-3) and (6,15)
Learn more about the slope here:
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Your quotient is undefined if under the root you have a value <0
this means the value has to be >=0
so 15(x-1)>=0
(x-1)>=0
x>=1 which is option B
R(x) = 60x - 0.2x^2
The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150
Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units
Answer:
27 candies are chocolate
Step-by-step explanation:
For question 25
you have 90 candies 30% = 0.30 which equals 0.3
then you multiply 90 * 0.3 and you get 27
