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3 years ago

Please help me!!!!!!! :)

Mathematics

1 answer:

Lilit [14]3 years ago

3 0

Hello there!

The answer is C.

I will explain to you how I came to this answer.

•First of all, I counted the turning points. There are two, so that means this polynomial function has THREE roots. (# of turning points+1=number of roots.)

•Next, look to see how many times the function crosses the x-axis. This is the number of REAL solutions. In this case, there is one point at which the f(x) is crossing the x-axis so there is one real solution.

•Since there is one real solution there has to be 2 imaginary roots. (Total # of solutions-real solutions=imaginary solutions)

NOTE: the turning points are where the increasing intervals change to decreasing and the decreasing change to increasing. The first derivative at these points is 0.

I hope this helps!
Best wishes~
-HuronGirl

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The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

The least number of items to produce is 41

Step-by-step explanation:

Average Cost

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

8 0

3 years ago

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Vesnalui [34]

Answer:

length = 2w - 3

l = length

w = width

2(length) + 2(width) = perimeter

2(2w - 3) + 2(w) = 60

6w -6 =60

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

The second step in the process for factoring the trinomial is to:

emmainna [20.7K]

Example: the second step in the process for factoring the trinomial x^2-3x-40 is to: Well you really should find the sum of the factors of −40 (not 40) 
But before you can do that, you need to LIST the factors of −40 (not 40) 
−1 * 40 
−2 * 20 
−4 * 10 
−5 * 8 
−8 * 5 
−10 * 4 
−20 * 2 
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NOW we find the sum of the factors of −40 
−1 + 40 = 39 
−2 + 20 = 18 
−4 + 10 = 6 
−5 + 8 = 3 
−8 + 5 = −3 
−10 + 4 = −6 
−20 + 2 = −18 
−40 + 1 = −39 

Then we choose the factors of −40 whose sum is −3 ---> −8 and 5 
x^2 − 3x − 40 = (x − 8) (x + 5) 

So FIRST step is B, SECOND step is C, and final step is factoring. 
What Rita did was combine these 2 steps together, which you will learn to do as you get better at factoring.

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Answer:

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