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Bas_tet [7]
3 years ago
13

Evaluate q(-x)=2t^2+3/t^2

Mathematics
1 answer:
kaheart [24]3 years ago
7 0
Replace t with -x

q(-x)=2(-x)^2+3/(-x)^2
q(-x)=2x^2+ \frac{3}{x^2}
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IgorC [24]
If there are multiple operations at the same level on the order of operations off from left to right and you work like this first noticed that there are no parentheses or exponents so we moved to multiplication and division with any sense of parentheses
5 0
3 years ago
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Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q
Mamont248 [21]

Answer:

Step-by-step explanation:

From the given information:

a) To express the weekly profit as a function of price

Cost =C(q) = 1500 + 10q

Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²

Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

P(q) = (50q -0.1q²) - (1500 + 10q)

P(q)= -0.1 q² + 40 q - 1500  

However, q = 500 - 10 p using p = 50 − 0.1q

P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500

P= -10 p² + 600 p - 6500

b)

The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0  

P' = 0

= -20p+600 = 0

20p = 600

p = 600/20

p = $30

c)

The maximum profit that can be made by the producer is:

P= -10(30)² + 600(30) - 6500

P = - 9000 + 18000 - 6500

P = $2500

5 0
3 years ago
What is the slope of the line shown below?
Elena-2011 [213]

<em>take two points</em>  : (-4, 3), (3, 1)

\sf slope: \sf \dfrac{y_2-y_1}{x_2-x_1}            <u>where</u> (x1, y1), (x2, y2)

<u>Insert the following values</u>

\hookrightarrow \sf \dfrac{1-3}{3-(-4)}

\hookrightarrow \sf \dfrac{-2}{3+4}

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3 0
2 years ago
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When all of the reindeer fly at night, they might experience extreme temperature changes as they fly from state to state. They s
VMariaS [17]

Answer:

umm reaindeer dont fly at all. but the temp would be -6

Step-by-step explanation:

5 0
3 years ago
While drying, peach loses 11% of its weight. How much fresh peach is needed to get 7 3/25 lbs of dried peach?
Vitek1552 [10]

Answer:

8 pounds is needed for 7 \frac{3}{25} of dried peach .

Step-by-step explanation:

Let us assume that the initial weight of the peach be x .

As given

While drying, peach loses 11% of its weight.

11% is written in the decimal form.

= \frac{11}{100}

= 0.11

Thus

Loses weight = 0.11x

weight of the peach after dried = Original weight - Loses weight

                                                    = x - 0.11x

As given

Dried\ peach\ is\ 7 \frac{3}{25}\ lbs

i.e

Dried\ peach\ is\ \frac{178}{25} \ lbs

Thus

x (1-0.11)= \frac{178}{25}

x (0.89)= \frac{178}{25}

x = \frac{178}{25\times 0.89}

x = \frac{178}{22.25}

x = 8\ pounds

Therefore the 8 pounds is needed for 7 \frac{3}{25} of dried peach .



7 0
4 years ago
Read 2 more answers
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