Answer:
12
Step-by-step explanation:
Let's put the equations in standard form. For the first equation, we have:
−11y=6(z+1)-13y
2y−6z=6
y−3z=3
The second equation is:
4y−24=c(z−1)
4y−cz=24−c
If we multiply the first equation by 4, we get:
4y-12z=12
Comparing the two equations, we see that if c=12, both equations will be the same and there will be infinitely many solutions.
The correct value of c is 12.
Answer:
f(x) = 12x = 10
Step-by-step explanation:
We need a linear equation in the slope-intercept form.
y = mx + b
where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value
Let's look in the table.
1 hour: $22
2 hours: $34
The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.
The difference in time between 1 hour and 2 hours is 1 hour.
In 1 hour he earns $12. That means the slope is 12.
We know he earns $22 for working a total of 1 hour.
Start at 1 hour and $22 on the table.
Subtract 1 hour from 1 hour to get 0 hours.
Subtract $12 form $22 to get $10.
That means for 0 hours he gets $10. b = 10
The equation is
y = 12x + 10
In function form, we have:
f(x) = 12x = 10
Answer:
The tank is 10cm high
Step-by-step explanation:
Given
-- length
-- width
--- water lever

Required
The height of the tank
Let y represents the remaining fraction before water is added.
So:

Make y the subject


Solve


Represent the volume of the tank with v
So:

Make v the subject

Substitute: 


Represent the height of the tank with h;
So, the volume of the tank is:

Make h the subject

Substitute values for v, l and w

Convert 30L to cm^3



-3
Because when u plug in x-value(0) in the graph the y=-3
its B
but if u are thinking its D its not because there cant be 2 and a quarter people so im sure its B