Answer:
Rate of Pay is $11 per hour.
Step-by-step explanation:
Cost of 
of work = $ 82.50
To find: Rate of pay
Here Rate of Pay means Cost of 1 hour of work or we can say cost of per hour work.
⇒ Cost of 
of work = $ 82.50
Cost of 1 hr of work = 
= 
= 
= $ 11
Therefore, Rate of Pay is $11 per hour.
(f+g)(x) = f(x) + g(x)
(f+g)(x) = 3x-2 + 2x+1
(f+g)(x) = (3x+2x) + (-2+1)
(f+g)(x) = 5x - 1
Answer:
The Answer is : D
Step-by-step explanation:
First find the slope of the line that the equation should be parallel to. In this case it is 2/1 which simplified is 2.
Next insert the X (4) of the point (4,1) and solve to see if you get the Y(1).
y-1 = 2 (4-4)
y-1= 2 (0)
y-1= 0
y= 1
In this case D is correct.
TIP*
If you see the question ask you about a parallel formula, look at the slopes of them to see if they match up. Parallel formulas have the same slope, just a tip because you can see in the answer choices none of the equations have the same slope as the line on the graph except for D.
Explanation:
Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.
Assume the quadratic equation to be 
where x is the variable.
Completing the square method is as follows:
- send the constant term to other side of equal
- divide the whole equation be coefficient of
, this will give 
- add
to both side of equality 
- Make one fraction on the right side and compress the expression on the left side
- rearrange the terms will give the vertex form of standard quadratic equation
Follow the above procedure will give the vertex form.
(NOTE : you must know that 
. Use this equation in transforming the equation from step 3 to step 4)
Answer:
20 mph
Step-by-step explanation:
Let speed of Train a = Va mph
Let speed of Train b = Vb mph
Va = Vb + 30
Let time taken for Train a = Ta
Let time taken for Train b = Tb
time taken = distance travelled/speed
Ta = 350/Va = 350/(Vb+30)
Tb = 140/Vb
But they both travel in the same amount of time.
So, Ta = Tb
Cross multiply
Divide both sides by 210
