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nydimaria [60]
3 years ago
5

Change this radical to an algebraic expression with fractional exponents. √y^2 The exponent on y is:

Mathematics
2 answers:
Wewaii [24]3 years ago
8 0
The power rule (or law of indices) related to root is given
x^{ \frac{1}{2} }=  \sqrt[2]{x}

We have \sqrt{ y^{2} }
Rewrite according to the rule we have y^{ \frac{2}{2} } = y^{1}

The exponent on y is '1'
gulaghasi [49]3 years ago
7 0

Answer:

1

Step-by-step explanation:

The formula is:\sqrt[n]{x^m} =x^\frac{m}{n}

Notice that if a = b, the exponent is 1; so, any base raised to the same power as the index will equal the base.

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The daily production cost, C, for x units is modeled by the equation:<br> C = 200 – 7x + 0.345x2
lina2011 [118]
C(x) = 200 - 7x + 0.345x^2

Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.

Range is the set of possible results for c(x), i.e. possible costs.

You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.

You can substitute some values for x to help you, for example:

x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42

10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745


The functions does not have real roots, then the costs never decrease to 0.

The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.
8 0
3 years ago
Help with all four please?
dedylja [7]

Answer:

Option c is answer

Step-by-step explanation:

follow me I will help you

7 0
3 years ago
Apples cost $4.53/lb. If 1lb is equivalent to 0.454kg, what is the price per kilogram?
denis23 [38]

Answer:

4.53/1=4.53  4.53x1.36=6.1608

6.1608 per kilogram

Step-by-step explanation:

Divide the total cost by the number of pounds to determine the cost of each pound. Divide the original cost by 1.36 kg to get the price in kilograms

4 0
3 years ago
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