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Naddika [18.5K]
3 years ago
10

a welder earns $20 an hour for the first 40 hours she works in a week and $30 for every hour over 40 hours. Determine a piece wi

se function f(x) that can be used to determine the welder's earnings when she works for x hours in a week
Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0
If she works 40 hours or less then she earns 20x dollars.
If she works more than 40 hours, then she earns 20×40 dollars for the first 40 hours and 30×(x-40) dollars for <span>every hour over 40 hours. The number of hours over 40 hours is x-40.</span> 

f(x)= \left \{ {{20x,x \leq 40} \atop {40\times20+30(x-40),x\ \textgreater \ 40} \right.

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Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator
zzz [600]

Answer:

B.

Step-by-step explanation:

To simplify something that looks like \frac{\text{whatever}}{\sqrt{a}-\sqrt{b}} you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

\sqrt{a}+\sqrt{b}.

If you had  \frac{\text{whatever}}{\sqrt{a}+\sqrt{b}}, then you would multiply top and bottom the conjugate of \sqrt{a}+\sqrt{b} which is \sqrt{a}-\sqrt{b}.

The conjugate of a+b is a-b.

These have a term for it because when you multiply them something special happens.  The middle terms cancel so you only have to really multiply the first terms and the last terms.

Let's see:

(a+b)(a-b)

I'm going to use foil:

First:  a(a)=a^2

Outer: a(-b)=-ab

Inner:  b(a)=ab

Last:    b(-b)=-b^2

--------------------------Adding.

a^2-b^2

See -ab+ab canceled so all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

Anyways the conjugate of \sqrt{17}-\sqrt{2} is

\sqrt{17}+\sqrt{2}.

This is the thing we are multiplying and top and bottom.

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3 years ago
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4 years ago
What is the maximum point OR minimun point of this equation?
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3 years ago
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Select all that apply.
Lelechka [254]

Answer: The second option and the third option are true.

Step-by-step explanation:

The formula of the line in slope-intercept form is:

y=mx+b

Where <em>m </em>is the slope and <em>b </em>is the y-intercept.

By definition, the y-intercept in a direct variation is 0.

Therefore, substituting m=-3 and b=0 into the equation, you obtain:

y=-3x+0

Then, the equation is:

y=-3x

As this is a line, it is a linear function.

Therefore, the second option and the third option are true.

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3 years ago
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