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Sindrei [870]
3 years ago
15

Anyone ?? Please urgent

Mathematics
1 answer:
dem82 [27]3 years ago
8 0

Answer:

Shifted left by 2 units

Step-by-step explanation:

When you have a function (say f(x)), you can translate it left or right by replacing what's inside the function. In this case it is shown that the x in f(x) is replaced with x+2 in g(x). Therefore:

g(x) = f(x + 2)

Rewriting g(x) like this shows that there is a +2 in the f(x). Whenever there is a number being added inside the function, then the graph is shifted left that many units (and vice versa for subtraction). So in this case since 2 is being added inside the function the graph will be translated left 2

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Help me out with this question (geometry)
Usimov [2.4K]

Answer:

Step-by-step explanation:

∠UST=2 m∠2

10x+10=2(6x-1)

10x+10=12x-2

12x-10x=10+2

2x=12

x=6

m∠UST=10×6+10=70°

4 0
2 years ago
Given P = x^0.3 y^0.7 is the chicken lay eggs production function, where P is the number of eggs lay, x is the number of workers
lora16 [44]

Answer:

Part A)

\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}

Part B)

The daily operating cost decreases by about $143 per extra worker.

Step-by-step explanation:

We are given the equation:

\displaystyle P=x^{\frac{3}{10}}y^{\frac{7}{10}}

Where <em>P</em> is the number of eggs laid, <em>x</em> is the number of workers, and <em>y</em> is the daily operating budget (assuming in US dollars $).

A)

We want to find dy/dx.

So, let’s find our equation in terms of <em>x</em>. We can raise both sides to 10/7. Hence:

\displaystyle P^\frac{10}{7}=\Big(x^\frac{3}{10}y^\frac{7}{10}\Big)^\frac{10}{7}

Simplify:

\displaystyle P^\frac{10}{7}=x^\frac{3}{7}y

Divide both sides by<em> </em>the <em>x</em> term to acquire:

\displaystyle y=P^\frac{10}{7}x^{-\frac{3}{7}}

Take the derivative of both sides with respect to <em>x: </em>

\displaystyle \frac{dy}{dx}=\frac{d}{dx}\Big[P^\frac{10}{7}x^{-\frac{3}{7}}\Big]

Apply power rule. Note that P is simply a constant. Hence:

\displaystyle \frac{dy}{dx}=P^\frac{10}{7}(-\frac{3}{7})(x^{-\frac{10}{7}})

Simplify. Hence, our derivative is:

\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}

Part B)

We want to evaluate the derivative when <em>x</em> is 30 and when <em>y</em> is $10,000.

First, we will need to find <em>P</em>. Our original equations tells us that:

P=x^{0.3}y^{0.7}

Hence, at <em>x</em> = 30 and at <em>y</em> = 10,000, <em>P </em>is:

P=(30)^{0.3}(10000)^{0.7}

Therefore, for our derivative, we will have:

\displaystyle \frac{dy}{dx}=-\frac{3}{7}\Big(30^{0.3}(10000^{0.7})\Big)^\frac{10}{7}\Big(30^{-\frac{10}{7}}\Big)

Use a calculator. So:

\displaystyle \frac{dy}{dx}=-\frac{1000}{7}=-142.857142...\approx-143

Our derivative is given by dy/dx. So, it represents the change in the daily operating cost over the change in the number of workers.

So, when there are 30 workers with a daily operating cost of $10,000 producing a total of about 1750 eggs, the daily operating cost decreases by about $143 per extra worker.

5 0
2 years ago
If carlos did some work and got 3x + 2x - 6 = 24 what mistake did he make
Makovka662 [10]

Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.

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

Carlos did the work as 3 x + 2 x - 6 = 24

We need to find his mistake that he made in above given.

Here, he did not add the like terms (3 x and 2 x)

             3 x + 2 x = 5 x

Therefore, his work should be

             5 x  - 6 = 24

Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be

                          5 x  - 6 = 24

                                 + 6 = + 6

                          -----------------------

                           5 x = 30

Dividing 30 by 5, we get answer as '6'. Hence,

                            x=\frac{30}{5} = 6

So, stated the above two are the mistakes found in carlos work.

4 0
3 years ago
A) Solve and graph the following inequality. -36 &lt; 3p - 6 &lt; -15
Arada [10]

Answer:

IM RETARTED

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The area of cross section of a prism is 45cm² and its height is,10cm. Find its volume​
mrs_skeptik [129]

Answer:

The Volume of triangular prism

                     V = 450 cm³

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given The area of cross section of a prism A = 45cm²

and     height (h) = 10 cm

The Volume of triangular prism

                V = ( Base area X Height )

                    =  45 X 10

                    = 450 cm³

The Volume of triangular prism

                     V = 450 cm³

6 0
3 years ago
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