Answer:
The correct option is 4.
Step-by-step explanation:
The given function is,
It is a modulus function and its parent function is,
In a function,
If k>1, then the graph of g(x) stretch vertically and if k<1 then the graph of g(x) compressed vertically.
Since k is , therefore the shoes the vertical compression.
put x=0 in the given function.
Put x=3.
Therefore the graph passing through (0,0) and (3,1).
So the fourth option is correct.
Hope this helps :)
This problem is mainly concerned with setting up an equation.
let's add the interest rates times their respective investment amounts:
![a = (9000 + x)0.10](https://tex.z-dn.net/?f=a%20%3D%20%289000%20%2B%20x%290.10)
![b = x \times 0.06](https://tex.z-dn.net/?f=b%20%3D%20x%20%5Ctimes%200.06)
![c=(20000 - ((9000 + x) + x)) 0.08](https://tex.z-dn.net/?f=c%3D%2820000%20-%20%28%289000%20%2B%20x%29%20%2B%20x%29%29%200.08)
simplify:
![c = (11000 - 2x) \times 0.08](https://tex.z-dn.net/?f=c%20%3D%20%2811000%20-%202x%29%20%5Ctimes%200.08)
sum of interest:
![1780 = a + b + c](https://tex.z-dn.net/?f=1780%20%3D%20a%20%2B%20b%20%2B%20c)
1780 = (9000+x) 0.10 + x 0.06 + (11000-2x)0.08
![1780 = 1780 + 0 \times x](https://tex.z-dn.net/?f=1780%20%3D%201780%20%2B%200%20%5Ctimes%20x)
![0=0](https://tex.z-dn.net/?f=0%3D0)
solution:
He does not have any invested in the 6%, while he has 9000 invested at 10% and 11,000 invested at 8%
to check:
![9000 \times 0.10 + 11000 \times 0.08](https://tex.z-dn.net/?f=9000%20%5Ctimes%200.10%20%2B%2011000%20%5Ctimes%200.08)
![= 900 + 880 = 1780](https://tex.z-dn.net/?f=%20%3D%20900%20%2B%20880%20%3D%201780)
So this ended up being a trick problem because he does not actually have any invested in the 6% option.
Answer:
find how many dishes she can wash in 1 minute:
14 divided by 5
2.8/per min
Find 8-minutes:
8 times 2.8
22.4 dishes
Answer:
1.09
Step-by-step explanation:
I *really* wish I had work to show, but I just used a calculator as it is a simple division problem. Since you can do long divison, here are the steps! It is very hard to show on here, so I have typed it out:
Step 1: Estimate the answer by rounding. You'll use this estimate to check your answer later.
Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number. Then move the decimal place in the dividend the same number of places to the right (adding some extra zeros if necessary.)
Step 3: Divide as usual. If the divisor doesn't go in evenly, add zeros to the right of the dividend and keep dividing until you get a 0 remainder, or until a repeating pattern shows up.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Step 5: Check your answer against your estimate to see if it's reasonable.