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Oksanka [162]
3 years ago
13

Find the derivative of f(x) = 5 divided by x at x = -1. (1 point)

Mathematics
1 answer:
marin [14]3 years ago
5 0

Answer:

  -5

Step-by-step explanation:

The power rule can be used.

  f(x) = 5x^-1

  f'(x) = 5(-1)x^(-1-1)

  f'(x) = -5x^-2

Then ...

  f'(-1) = -5(-1)^-2

  f'(-1) = -5

_____

The attached graph shows the value of the derivative at x=-1, along with a tangent line having that slope at the point (-1, f(-1)).

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3 years ago
Pls say hard very hard​
Simora [160]

(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.

(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?

On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:

50 ≤ score ≤ 60   ==>   50-60

60 < score ≤ 70   ==>   60-70

70 < score ≤ 80   ==>   70-80

80 < score ≤ 90   ==>   80-90

90 < score ≤ 100   ==>   90-100

Then a student who scored a 60 should be added to the 50-60 category.

8 0
2 years ago
A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the total sales if th
My name is Ann [436]

Answer:

C. x\geq 55000

Step-by-step explanation:  

Let x be the total monthly sales.

We have been given that a salesperson earns a salary of $700 per month plus 2% of the sales. The salesperson want to have a monthly income of at least $1800.  

This means that 700 plus 2% of total monthly sales should be greater than or equal to 1800. We can represent this information in an equation as:

700+(\frac{2}{100})x\geq 1800

700+0.02x\geq 1800

Let us solve our inequality to find the monthly sales (x).

Subtract 700 from both sides of our inequality.

700-700+0.02x\geq 1800-700

0.02x\geq 1100

Divide both sides of inequality by 0.02.

\frac{0.02x}{0.02}\geq \frac{1100}{0.02}

x\geq \frac{1100}{0.02}

x\geq 55000

Therefore, the total monthly sales must be greater than or equal to 55,000 and option C is the correct choice.



5 0
3 years ago
In a basketball game 96 points were scored. The winners scored twice as many as the losers. How many points did each team score?
RSB [31]

set up an equation for this.  x will be the score of the losing team.  x+2x=96.  Then solve for x.  3x=96.  x=96/3 x=32.  So the losing team got 32 points and the winning team got 64
4 0
3 years ago
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