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Zina [86]
3 years ago
8

Can someone answer this?

Mathematics
1 answer:
kolezko [41]3 years ago
3 0
The correct answer is A.

For y=x, the slope is 1, meaning that as x increments by 1, y also increments by 1.
Using this logic, we know that the graph goes up looking from left to right.

If both ends were to point up or down it would resemble more of a quadratic (parabola).
You might be interested in
What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?
ElenaW [278]
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)

nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165

This will be used in the formula below

Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624

The final answer here is choice C) -624
<span>
</span>
5 0
3 years ago
The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

3 0
3 years ago
What is the difference of 8 times a number r and 12?
lapo4ka [179]

Answer:

The difference of 8 times a number r and 12 is solved for a number r and is given by r=\frac{3}{2}

Step-by-step explanation:

Given problem is the difference of 8 times a number r and 12

It can be written as

(8\times r)-12

To simplify the above expression :

8r-12

8r-12=0

8r-12+12=0+12 ( using addition property of equality )

8r=12

8r(\frac{1}{8})=12(\frac{1}{8}) (using division property of equality )

r=\frac{3}{2}

Therefore r=\frac{3}{2}

Therefore the difference of 8 times a number r and 12 is solved for a number r and is given by r=\frac{3}{2}

8 0
3 years ago
9 out of 20 students will attend the Worldwide Day of Play at RMS what percentage of students will not attend
EastWind [94]
U do 4/20 = p/100 then u cross multiply the 4 with 100 getting u 400, then divide the 400 by 20, giving u the answer of 20%
8 0
3 years ago
Read 2 more answers
Which Value Is The Eighth Term In The Sequence? <br><br> A. -3125<br> B. -125<br> C. -625
statuscvo [17]

Answer:

C

Step-by-step explanation:

Substitute n = 8 into the explicit rule

a_{8} = - \frac{1}{125} × 5^{7}

                        = - \frac{1}{5^{3} } × 5^{7}

                       = - 5^{4} = - 625 → C

6 0
3 years ago
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