Answer:
100x+120y = z
z= $ 63000
Step-by-step explanation:
Product Welding Assembly Painting Cont. to profit
X 2x hours 3x hours 1xhour = $100x
Y 3y hours 2y hours 1y hour = $120y
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Total hours 1500 hours 1500 hours 550 hours
available
Let X represent product X
Let Y represent Product Y
2x + 3y = 1500
x + y = 550
y= 550-x
2x + 3(550-x) = 1500
2x + 1650- 3x = 1500
150 = x
y = 550-150
y = 400
Objective Function Z = 100x + 120y
Z = 100(150) + 120( 400)
Z = 15000+48000
Z = $63000
Answer:
y-intercept, c = 325
Slope, m = 50
The x-axis represents the number of months and y-axis represents the total amount in saving accounts.
Step-by-step explanation:
We are given the following in the question:
A saving account currently holds $325. Jesus adds $50 each month.
Let x be the number of months and y be the total money n the saving account.
Then, we can use a linear function to represent the money in the account.

Comparing to general linear function,

where m is the slope and tells the rate of change and c is the y-intercept that is the value when x is zero.
Comparing we get:
m = 50
c = 325
y-intercept = c = 325
Slope, m = 50
The x-axis represents the number of months and y-axis represents the total amount in saving accounts.
The attached image shows a graph for the same.
Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is

Where
is the initial height,
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:

So the equation is:

The ball hits the ground when when
So

We use the quadratic formula to solve the equation for t
For a quadratic equation of the form

The quadratic formula is:

In this case

Therefore

We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground