or the function f given above, determine whether the following conditions are true. Input T if the condition is ture, otherwise input F . (a) f′(x)<0 if 00 if x>2; F (c) f″(x)<0 if 0≤x<1; T (d) f″(x)>0 if 14; T (f) Two inflection points of f(x) are, the smaller one is x= 2 and the other is x= 2

Answers

Answer 1

Answer:

In linear equation, the two inflection points of f(x) are at x = 1 or x = 4

What are instances of linear equations?

Ax+By=C is the typical form for linear equations involving two variables.
A standard form linear equation is, for instance, 2x+3y=5. It is rather simple to locate both intercepts when an equation is stated in this way (x and y).
When resolving systems of two linear equations, this form is also incredibly helpful.

We are aware that f(x) has a decreasing order if f'(x) 0 and a rising order if f'(x) > 0.

seen in the graph If f(x) is evidently growing on x (2, ) and decreasing on x ( 0,2) Since f(x) is dropping, if 0 x 2 is true, then f'(x) 0.

Since f(x) is rising, f'(x) > 0 if x > 2 is true.

Since f(X) is concave down, if 0 x 1 is true, then f"(x) 0 and vice versa.

Since f(X) is concave up, f"(x) > 0 and is true if 1 x 4

Given that f(X) has a concave downward shape, e) f"(x) 0 if x > 4 is true.

The two inflection points of f(x) are at x = 1 or x = 4.

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Answer 2

Answer:

Answer:

0 if 0≤x<1; T (d) f″(x)>0 if 14; T

Step-by-step explanation:

2 and the other is x= 2

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The square of a certain negative number is equal to 5 more than one half of the number what is the number

Answers

the square of a certain negative number is equal to 5 more than one half of that number
what is that number
let x be that number
thus x² = x/2 + 5
   x² - x/2 - 5 = 0
   2x² - x -10 = 0
   (2x-5) (x + 2) = 0
   x = 5/2 or - 2
   so the number is - 2

What is the average rate of change from x=-1 to x=-2

Answers

the average rate of change from x=-1 to x=-2 is +3

using the 28/36 ratio, determine the maximum allowable recurring debt for someone with an annual income of $86,250.

Answers

Given:
28/36 ratio
annual income: 86,250

28+36 = 64

28/64 * 86,250 = 0.4375 * 86,250 = 37,734.375
36/64 * 86,250 = 0.5625 * 86,250 = 48,515.625

28/36 ⇒ 37,734.375/48,515.625

a. $575.00

good luck!

Select the proper order from least to greatest for 1/2 ,5/6 , 2/7 , 4/2a) 4/2 , 5/6, 1/2, 2/7

b) 4/2, 2/7, /6, 1/2

c) 2/7, 1/2, 5/6, 4/2

d) 2/7, 5/6, 1/2, 4/2

Answers

C. 2/7, 1/2, 5/6, 4/2

The difference of a number and 4/ 3 is 11/3. what is the number

Answers

The difference of a number 5 and 4/ 3 is 11/3.

What is subtraction of fractions?

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, the difference of a number and 4/ 3 is 11/3.

Let the unknown number be x.

Here, x-4/3 =11/3

x= 11/3+4/3 (Transpose 4/3 to RHS of the equation)

To add like fractions, add the numerators and keep the denominator same. That is

x= 15/3

x=5

Therefore, the unknown number is 5.

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Answer:

Step-by-step explanation:

15/3 - 4/3 = 11/3

15/3 = 5

Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he rented the same boat for five hours and it cost him $625. If he rented the same boat on Monday for just two hours, what is the cost for Jake to rent the pontoon boat for the entire three-day weekend?

Answers

Final answer:

The total cost for Jake to rent the pontoon boat for the entire three-day weekend, based on an estimated average hourly rate of $135, was $1330.

Explanation:

Firstly, we need to determine the hourly rate for the pontoon boat rental. We can use the information given for the Saturday and Sunday rentals to calculate this:

Saturday: $435 for 3 hours, or $435 / 3 = $145 per hour
Sunday: $625 for 5 hours, or $625 / 5 = $125 per hour

These two rates are different, so it's possible that a higher rate was charged for shorter rental times. To calculate the average, we add the two rates and divide by 2, giving us an average hourly rate of $135.

Finally, to calculate Jake's total cost for the weekend, we assume that the Monday rental also had the same $135 per hour rate, and multiply this rate by 2 hours. This gives us a Monday cost of $270. Adding this to the Saturday and Sunday costs, Jake's total cost for the three-day weekend was $435 + $625 + $270 = $1330.