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Tom [10]
2 years ago
5

How do the average rates of change for f(x) = -0.5x² and g(x) = -1.5x² over the interval -5 ≤ x ≤ -2 compare?​

Mathematics
1 answer:
masha68 [24]2 years ago
8 0
Pick an x-value between the interval givens. I’ll choose “1”. If you sub in one for both f(x) and g(x) you get that f(1) = -1.5 and g(1) = -0.5. Now you can divide f(1) by g(1) to get average rate of change. -1.5/-0.5 = 3.
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Use synthetic division to determine f(-2) for the function f(x)=9x^3-18x^2-16x+32
Verizon [17]

Answer: -80

Step-by-step explanation:

7 0
3 years ago
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of peopl
GenaCL600 [577]

Answer:

n = 66.564

Step-by-step explanation:

  1. Because the population is unknown, we will apply the following formula to find the sample size:

n= (\frac{zS}{E} )^{2}

Where:

z = confidence level score.

S = standard deviation.

E = error range.

   2. We will find each of these three data and replace them in the formula.

"z" theoretically is a value that measures how many standard deviations an element has to the mean. For each confidence level there is an associated z value. In the question, this level is 99%, which is equivalent to a z value of 2.58. To find this figure it is not necessary to follow any mathematical procedure, it is enough to make use of a z-score table, which shows the values ​​for any confidence interval.

The standard deviation is already provided by the question, it is S = 100.

Finally, "E" is the acceptable limit of sampling error. In the example, we can find this data. Let us note that in the end it says that the director wishes to estimate the mean number of admissions to within 1 admission, this means that she is willing to tolerate a miscalculation of just 1 admission.

Once this data is identified, we replace in the formula:

n=(\frac{(2.58)(100)}{1} )^{2}

    3. The corresponding mathematical operations are developed:

n=(\frac{258}{1} )^{2}

n= (258)^{2}

n= 66.564

4 0
3 years ago
Gabriel buys 5 pounds of apples for $8. Allie buys 10 pounds of the same apples for $16. Which of the following points is NOT on
Tom [10]
I don't understand your question
4 0
3 years ago
What's the distance between points (2, 2) and (4.1)
Tresset [83]

Answer:

-(1/2)

Step-by-step explanation:

y1-y2/x1-x2

8 0
2 years ago
1.
Alekssandra [29.7K]

Answer:

The number of visit so that both plan cost same is 10 .

Both the plan has equivalent choice of benefit

Step-by-step explanation:

Given as :

A gym has two membership plans.

For Gold plan

The charge per month = $50  

The charge per visit = $3

For Platinum plan

The charge per month = $20  

The charge per visit = $6

Let The number of visit for which each plan be same = n visits

Now, According to question

<u>∵ Each plan cost to be same</u>

So,

The charge per month for gold plan+ The charge per visit × numbers of visit = The charge per month for platinum plan+ The charge per visit × numbers of visit

I.e $50 + $3 × n = $20 + $6 × n

Or, $50 - $20 =  $6 × n  -  $3 × n

Or, $30 = ($6 - $3) × n  

Or, $30 = $3 × n  

∴ n = \dfrac{30}{3}

I.e n = 10

So, The number of visits = n = 10

Now, For Gold plan

The charge per month = $50  

The charge per visit = $3 × 10 = $30

So, Total charge for gold plan = $50 + $30 = $80

Similarly For Platinum plan

The charge per month = $20  

The charge per visit = $6×10 = $60

So, For Platinum plan ,total charge = $20 + $60 = $80

Hence, The number of visit so that both plan cost same is 10

and both the plan has equivalent benefit. Answer

4 0
3 years ago
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