The answer to this question is 96cm2
It's b, 2
The reason is because 3/11=0.27 that repeats the 27 over again
Answer:
x = 12 hours
Step-by-step explanation:
If one pipe fills store pool in 12 hours in 1 hour will fill 1/12 of the pool
If one pipe fills a store pool in 6 hours in 1 hour will fill 1/6 of the pool
Let call " x " number of hours needed by the third pipe to fills the pool
then in 1 hour will fill 1/x
The three pipes working together in 1 hour will fill
1/12 + 1/6 + 1/x
Now we know that the three pipes take 3 hours to fill the pool then in 1 hour three pipes will fill 1/3 of the pool, therefore
1/12 + 1/6 + 1/x = 1/3
( x + 2*x + 12) /12*x = 1/3 ⇒ ( 3*x +12 )/ 12*x = 1/3
9*x + 36 = 12*x
- 3*x = - 36
x = 36/3
x = 12 hours
9514 1404 393
Answer:
x = 2 1/3
Step-by-step explanation:
We can examine the equations to see where the solution lies.
<u>f(x) = (2/3) -x</u>
This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.
<u>h(x) = 3 -2x</u>
This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.
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In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.
The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.
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<em>Additional comment</em>
Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.