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Liula [17]
2 years ago
6

Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of

Mathematics
1 answer:
Vesna [10]2 years ago
5 0

Answer:

Step-by-step explanation:

By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that

f'(c) = [f(6) - f(1)]/ (6 - 1)

So, f(6) - f(1) = 5f'(c).

Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20

So, f(6) - f(1) is between 10 and 20.  

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Keith had 1 1/2 cups of flour.he used 5 2/3 cups to make bread.How many cups of flour does Keith have left
crimeas [40]
If Keith had 1 1/2 cups, he can't use <span>5 2/3 cups. He cant use more than what he had. There is error in this question.</span>
8 0
3 years ago
Hello I don’t understand question 9 a and b. Please show working out.<br> Thanks
brilliants [131]
A) I would make the positive integer x and then form an equation.

x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6

Since the question asks for a positive integer the answer is 7.

B) two positive numbers x and y.

X - y = 3
x^2 + y^2 = 117

Use these simultaneous equations to figure out each number.

Rearrange the first equation

x = y + 3

Then substitute it into the second equation.

(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)

This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.

Use y to find x

x = y + 3
x = 6 + 3
x = 9

So the answers are x = 9 and y = 6.
3 0
3 years ago
These Are the answer choices:<br><br>A.) 343 <br><br>B.) 342 <br><br>C.) 432<br><br>D.) 677<br><br>​
Tanya [424]
The answer is C.) 432
4 0
3 years ago
Number 1 les goooooooo
chubhunter [2.5K]

Answer:

Hi thank you so muchhhhh

Step-by-step explanation:

I wish you a great day

5 0
2 years ago
Read 2 more answers
A polynomial has zeros x=0, x= -3, X = 4. What are some possible factored equations for this fourth degree polynomial.
kati45 [8]

Answer:

x^{2} (x + 3)(x - 4)

Step-by-step explanation:

You can multiply this out to get the full equations.

It's to the 4th degree so the x on the outside has to be squared to add the fourth degree.

To get other zeros:

x + 3 = 0

x = -3

x - 4 = 0

x = 4

Hope this helped. :0)

5 0
2 years ago
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