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Lilit [14]
3 years ago
12

Given the following quadratic equation, find the average rate of change

Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0
Answer: The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval! hope this helps
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Anyone got me with them quick maths?
Natali5045456 [20]

Answer:

Its B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
kap26 [50]

Answer:

4800+183x\geq 8000

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let x be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

\frac{3*6,100}{100} =183

Now we know that she makes $183 per policy sold. Since x is the number of policies sold, 183x is her total commission for selling x policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

4800+183x

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

4800+183x\geq 8000

Let's solve the inequality:

1. Subtract 4800 from both sides

4800-4800+183x\geq 8000-4800

183x\geq 3200

2. Divide both sides by 183

\frac{183x}{183} \geq \frac{3200}{183}

x\geq 17.48

Since she can't sell a fraction of a policy, we must round the result to the next integer:

x\geq 18

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

7 0
3 years ago
Part À : Find a rational number that is between 9.5 and 9.7 - Explain why is it rational
noname [10]

9514 1404 393

Answer:

  A.  9.6

  B. √92 ≈ 9.59

Step-by-step explanation:

A. 9.6 is a rational number between 9.5 and 9.7. It is rational because it is a terminating decimal.

__

B. √92 is an irrational number between 9.5 and 9.7. It is irrational because it is the square root of an integer that is not a perfect square. Its decimal value is about 9.59.

6 0
3 years ago
In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the gr
kompoz [17]
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero. 

t(x)=(x+5)^3+7

dt/dx=3(x+5)^2

d2t/dx2=6(x-5)

dt/dx=0 only when x=-5

However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.

So there is no turning point for this function.

Now in this problem, it is even easier than the above to show that there is no turning point.  A turning point by definition is when the derivative or velocity changes sign.  Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.


8 0
3 years ago
How to solve this problem
slava [35]
24/.375 = 64, the answer is no.
6 0
3 years ago
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