Which section of the function is constant? a. A b. B c. C d. D

Mathematics

2 answers:

Fantom [35]3 years ago

4 0

Answer:

c. C

Step-by-step explanation:

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KATRIN_1 [288]3 years ago

4 0

<h3>Answer: Section C</h3>

This portion of the graph is completely flat, and has a slope of 0. The slope is the rate of change. Any horizontal line has a slope of 0 (we can use the slope formula to prove this). The term 'constant" means "it does not change".

In contrast, sections A, B, and D are all increasing sections because they go uphill as we move from left to right. The slopes of each line segment are positive.

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Question 2 of 10

andrew-mc [135]

Answer:

B. 15.

Step-by-step explanation:

In order to get this answer, we just need to substitute the value of x in the formula and calculate the answer. Let's rewrite the expression with the substituions:

4((5)+5) ((5)+1) / ((5)+3) ((5)-3) = (40) (6) / (8) (2)= 240/16= 15.

6 0

1 year ago

A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i

steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

$C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)$

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

$-5x^3+6x^2+15x -14=0\cdots(ii)$

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

$(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0$

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

$-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849$