Answer:
x = - 16
Step-by-step explanation:
The equation relating two proportional quantities is
y = kx ← k is the constant of proportionality
To find k use the condition when y = 1, x = - 4
k = 
= - 
y = - x ← equation of proportionality
when y = 4, then
4 = - x (multiply both sides by - 4 )
x = - 16
A minimum of 220 backpacks must be produced to obtain the desired benefits.
Since a company making backpacks charges $ 29.99 for each backpack, and it costs $ 6.45 to make each backpack, and the company can make backpacks in multiples of 10 and there is $ 1,000 in fixed costs, and the company wants to make at least $ 4,000 profit each week, to determine how many backpacks should be produced, the following calculation must be performed:
- 29.99 - 6.45 = 23.54
- 500 x 23.54 - 1000 = 10,770
- 250 x 23.54 - 1000 = 4.885
- 220 x 23.54 - 1000 = 4,178.80
- 210 x 23.54 - 1000 = 3,943.40
Therefore, a minimum of 220 backpacks must be produced to obtain the desired benefits.
Learn more in brainly.com/question/15713474
Answer:
f(g(x)) = x² - 2x + 1
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x) , that is
f(g(x))
= f(x - 1)
= (x - 1)² ← expand using FOIL
= x² - 2x + 1
What is linear equation?
An equation between two variables that gives a straight line when plotted on a graph.
2x + 5xy - 3 = 0
x (2 + 5y) -3 = 0
x ( 2 + 5y ) = 3
2 + 5y = 3 / x
5y = (3/x) - 2
y = ( (3/x) - 2) / 5
According to the graph i don't think it's a linear equation.
Well if it’s asking to divide you will get 254
