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Georgia [21]
3 years ago
13

For what interval is the function f(x) = x^2 increasing? Is it [0,infinity) or (0, infinity)?

Mathematics
1 answer:
irakobra [83]3 years ago
3 0

It's the open interval. The function increases over any interval on which its derivative is positive. We have

f(x)=x^2\implies f'(x)=2x

and f'(x)>0 for x>0. So f(x) is increasing on x>0, or (0,\infty).

You might be interested in
9.
Mashcka [7]
To solve this we are going to use the formula for compounded interest: A=P(1+ \frac{r}{n})^{nt}
where 
A is the final amount after t years 
P is the initial amount 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
t is the time in years 

We know for our problem that P=1380, r= \frac{5}{100} =0.05, and t=3. Since the interest is compounded daily, it is compounded 365 times in year; therefore, n=365. Lets replace those values in our formula to find A:
A=P(1+ \frac{r}{n})^{nt}
A=1380(1+ \frac{0.05}{365})^{(365)(3)}
A=1603.31

We can conclude the amount in Diane's after 3 years will be <span>$1,603.31</span>
4 0
3 years ago
Noelle has set a goal to run more than 50 mi this month. So far, she has run 10 mi. Her average running speed is 5 mph.
Vladimir79 [104]

Answer:

To meet her goal, Noelle must run more than 8\ hours the rest of the month

Step-by-step explanation:

Let

h-------> the number of hours Noelle runs for the rest of the month

we know that

The inequality that represent the situation is

10+5h>50

Solve for h

Subtract  10 both sides

5h> 50-10

5h> 40

Divide by 5 both sides

h> 8\ hours

3 0
3 years ago
What is an unbrocken part of a circle called
iogann1982 [59]

Answer:

 an unbroken part of a circle consisting of two points on the circle called the endpoints and all the points of the circle between them. arc. an arc of a circle whose points are on or in the interior of a central angle.

6 0
3 years ago
2. Quinton sold the most tickets in his school for the annual Autumn Festival. As a
juin [17]

Answer:

ahsbdbsbevdjsbebdbdhdbdhdbd

4 0
3 years ago
Read 2 more answers
last year fred earned $156 every week that he worked.he made a total of $4,680.how many weeks did he work
yanalaym [24]
30 weeks because
4680 \div 156  = 30
6 0
3 years ago
Read 2 more answers
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