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Scilla [17]
2 years ago
7

A company pays $20 per hour for up to 7 hours of work, and $30 per hour for

Mathematics
1 answer:
katovenus [111]2 years ago
3 0

Answer:

Step-by-step explanation:

current total of hours work earnings (7hrs): $140

total earnings: $980 per week

49 hours work per week (no overtime)

immagine you're working another 4 hours for overtime payment everyday:
current total of hours work earnings (11hrs): $280 including 4 hours overtime ($120)

total working hours: 77 hours per week

total earnings: $1,960 per week

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A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. Find a quadratic func
UNO [17]
Let    x refers to the Month numbers
And  y refers to Number of births

There is 5 steps to find the quadratic function that models the data.

First step           ⇒ <span>Plot <span>the data pairs (<span>x<span>, <span>y<span>) in a coordinate plane.
                              which are the blue circles in the attached figure

Second step     ⇒ </span></span></span></span></span></span><span>Draw <span>the parabola you think best fits the data.
                             Which is the red function in the attached figure.

</span></span><span><span>Third step         ⇒</span> Estimate <span>the coordinates of three points on the
<span>                             parabola, which are (2, 108), (4, 68), and (6, 75).</span>
                             </span></span><span><span>which are the black squares in the attached figure</span>

Fourth step       ⇒ </span><span>Substitute <span>the coordinates of the points into the<span> model <span>
                            y <span>= <span>ax<span>2 <span>+ <span>bx <span>+ <span>c
<span>                            to obtain a system of three linear equations.</span>

                            4a + 2 b + c = 108   ---------(1)
                            </span></span></span></span></span></span></span></span></span></span></span><span><span>16a + 4 b + c = 68   ---------(2)</span>
                            36a + 6 b + c = 75   ---------(3)   

Fifth step   ⇒ </span><span>Solve <span>the linear system.
                      By using the calculator
                      a = 5.875 , b = -55.25 , c = 195

So, the</span></span><span> quadratic model for the data is ⇒ y = 5.875 x²- 55.25 x + 195
============================================
T</span><span>o predict the number of births for month 8
substitute with x = 8 ⇒  y = </span><span>5.875 * 8²- 55.25 * 8 + 195 = 129</span>







3 0
3 years ago
Read 2 more answers
Simplify square root of 8
Katyanochek1 [597]
The square root of 8 is 2.82842712475. You round to 2 decimal places and get 2.83
3 0
3 years ago
Read 2 more answers
What plus 4/3 equals 19/3 in the simplest form?
dangina [55]
15/3 + 4/3 = 19/3

All you have to do is subtract 4/3 from 19/3 to get 15/3
4 0
2 years ago
A total of 753 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 more stud
SVETLANKA909090 [29]

Answer:

350

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help thanks very much
olchik [2.2K]
A)
sinA = 8√3 / 16 = √3 / 2

answer is B
√3 / 2

B) It's 30 60 90 right triangle 
so <B is 30

answer is A
m<B = 30
6 0
3 years ago
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