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trapecia [35]
3 years ago
15

A factory worker earns $150 each day plus $5.25 for each widget that he makes. If he earned $370.50 for one day of work, how man

y widgets did he make?
3

42

64

70
Mathematics
1 answer:
Finger [1]3 years ago
6 0

Daily wage, d = $150

pay per widgets, p = $5.25

pay at end of day, e = $370.50

number of widgets made = (e-d)/p = 42

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at which values of x does the graph of f(x)=x^2-x-2/(x^2-1)(x^2-16) have a vertical asymptope? check all that apply
katen-ka-za [31]

Answer:

x = -4, 1, 4

Step-by-step explanation:

The function is given as:

f(x) = (x² - x -2)/[(x² - 1)(x² -16)]

We want to find the values of x where the graph will have vertical assymptote.

Vertical asymptotes are defined as vertical lines which correspond to the values of x that will make the denominator of a rational function to be zero.

Thus, to get the values of x that we will have vertical assymptotes, we have to equate the denominator to zero.

We have;

[(x² - 1)(x² -16)] = 0

Thus,

x² - 1 = 0

Or

x² - 16 = 0

So;

x² = 1

x = √1

x = 1

Or

x² = 16

x = ±√16

x = ±4

Values of x that give vertical assymptote are;

x = -4, 1, 4

3 0
3 years ago
If h(x) = x - 7 and g(x) = x^2, which expression is equivalent to (gºh) (5)?
gulaghasi [49]

Answer:  a) (5 - 7)²

<u>Step-by-step explanation:</u>

g(x) = x^2          h(x) = x - 7

                         h(5) = 5 - 7

g(h(5)) = g(5 - 7)  = (5 - 7)²         <em>Replace the x in g(x) with (5 - 7)</em>

             

6 0
3 years ago
Please please help. I have a bunch of these and I don’t understand it at all
shtirl [24]
The correct option is: Option (B) \sum_{i=1}^{7} (5i-2)

Explanation:

First thing is that the difference between each number in the series with the next number is 5. It means it must be the multiple of 5. There are two options that contain multiples of 5: Option B and Option D. Now in the option D, the upper limit is 6. If we put 6 in the expression: 5(6)-2, the last term would be 28. However in the series given in the question, the last term is 33. Hence 5(7) - 2 = 35 - 2 = 33 which is Option B.

When i=1: 5(1)-2 = 3
When i=2: 5(2)-2 = 8
When i=3: 5(3)-2 = 13
.
.
When i=7: 5(7)-2 = 35-2 = 33
Hence the correct option is (B).
3 0
3 years ago
As a percentage $9.00 is equal to ? of $30.00​
solmaris [256]

Answer:

30%

Step-by-step explanation:

Method 1-

Divide 9 by 9/30. You get 30. This is the percent that you need!

Method 2-

You can also simplify 9/30 down to 3/10. You just multiply this by 10 on both sides. This makes 30/100, or 30%

7 0
4 years ago
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sertanlavr [38]

Answer:

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Step-by-step explanation:

I dont know

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