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dalvyx [7]
3 years ago
7

Write a function rule for the table.

Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

p = 7.50h

Step-by-step explanation:

The answer has to be in the form of p =, since p is the pay which represents our y value, and the hours worked represents our x value.  You can find the slope of the line by using the formula and any two points on the table:

m=\frac{30-15}{4-2}=\frac{15}{2}

That simplifies to 7.5.  So the slope of the line is 7.5.  We also know that the line goes through the origin (0, 0), which means, according to our data (and any data in the real world) that if you work 0 hours (x) you get 0 pay (y).  So the y intercept of the line is 0.  The equation, then, in slope-intercept form, is

p = 7.50h, the first choice.  This means that the employee makes $7.50 per hour and should probably consider a new job.

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4 years ago
If (5-3i)(x+iy)/(4-5i) = (2+i)^2-(3-4i)^2, then x=___ and y=____
Leona [35]
This looks complicated

lets simplify both sides

By multiplying top and bottom by the conjugate:-

left side  =  (5-3i)(x + iy) (4+5i)          (5-3i)(x + iy) (4+5i) 
                  ------------------------   =      ------------------------
                        (4-5i)(4+5i)                           41

right side =  (2 + i + 3-4)(2+i - 3 + 4i)    (by  Difference of 2 squares)

               =  5-3i)(-1 + 4i)

so as left side = right side

(5-3i)(x+yi)(4+5i)   = 41 (5-3i)(-1+5i)

5-3i is common so:-

(x + iy)(4+5i) = 41(-1+5i)

4x +5xi + 4yi - 5y = -41 + 205i

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EQuating coefficients we are left with the system of equations

4x -  5y = -41
5x + 4y  = 205

solving this gives x = 21 and y = 25


8 0
3 years ago
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