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pav-90 [236]
3 years ago
15

1. John began his job making $25 the first day. After that he was paid $6.75 per hour. a) Use the equation y 6.75x +25 to comple

te the chart below. (1 point) b) Make a graph and connect your points in a line. (1 point) c) Label your axis with the appropriate intervals (for example 5, 10, 15... and a title with units, for example time (hours).

Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

a. Chart (attached)

b. and c. graph attached

Step-by-step explanation:

a. We use the equation given to us and plug in the values of "x" that have been shown to find the corresponding values of y.

So, when x=0, y=6.75\times 0+25=25

when x=20, y=6.75\times 20+25=160

when x=40, y=6.75\times 40+25=295

b. The graph has been shown in a similar manner.  All the three points of part a are connected to form the straight line y=6.75x+25. So, we have (0,25), (20,160) and (40, 295)

c. The y axis is the earnings in dollars and the x axis is the number of hours worked.


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stepladder [879]

Answer: 3\dfrac{11}{20}\ \text{miles}

Step-by-step explanation:

Given

Elisa run a total of 8\frac{4}{5} miles on Saturday and Sunday.

If she runs 5\frac{1}{4} miles on Saturday

Then, distance traveled on Sunday is given by

\Rightarrow 8\dfrac{4}{5}-5\dfrac{1}{4}\\\\\Rightarrow \dfrac{44}{5}-\dfrac{21}{4}\\\\\Rightarrow \dfrac{44\times 4}{5\times 4}-\dfrac{21\times 5}{4\times 5}\\\\\Rightarrow \dfrac{71}{20}\\\\\Rightarrow 3\dfrac{11}{20}\ \text{miles}  

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Answer:

The answer is D

Step-by-step explanation:

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4 years ago
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The line passing through points (x_1, y_1) and (x_2, y_2) is given by

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Plug your values to get

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A) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list.
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Answer:

steps below

Step-by-step explanation:

x⁶ - 7x³ - 8 = (x⁶ + x³) - (8x³ + 8)

                  = x³ (x³+1)-8(x³+1)

                  = (x³ - 2³)(x³ + 1)

                  = (x-2)(x²+2x+4)(x+1)(x²-x+1)

(x-2)(x²+2x+4)(x+1)(x²-x+1) = 0

<u>x= -1 or x = 2</u>   ... roots

or    x²+2x+4=0   or    x²-x+1=0  

x²+2x+4=0

x = (-2±√4-16)/2 = <u>-1 ± √3 i</u>   ... complex roots

x²-x+1=0

x = (1±√1-4)/2 = <u>1/2 ± (√3)i / 2</u>   ... complex roots

<u />

b) P(x) = x⁶ - 7x³ - 8

           = <u>(x-2)(x²+2x+4)(x+1)(x²-x+1)</u>

           = (x+1)(x-2)(x-(-1 + √3 i))(x-(-1 - √3 i)(x-(1/2 + (√3)i / 2))(x-(1/2 - (√3)i / 2))

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The difference between 45 and y is 9
faltersainse [42]

Answer:

y = 36

Step-by-step explanation:

8 0
3 years ago
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