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Karo-lina-s [1.5K]
3 years ago
8

23 2/5−11 4/5 Enter your answer as a mixed number in simplest form.

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0

Answer:

11 3/5

Step-by-step explanation:

23 2/5-11 4/5

22 7/5-11 4/5

11 3/5

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The greatest common factors of 30,48,60 is 6.
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Find the quadratic function that fits the following data. which one function fits.
Oksana_A [137]

Answer:

C

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c

We get the system of three equations:

\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.

Subtract these equations:

\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.

From the first equation

b=-120a

Substitute it into the second equation:

5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5

So,

2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25

The quadratic function is

y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25

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Answer: I need help! :(

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Please help me and add steps so that I can understand
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2 years ago
What is 20% off 59.00?
Kaylis [27]
Step 1. convert percent to decimal form -- 20%=0.20

step 2. multiply percent decimal form to whole value -- 0.20*59.00

step 3. ???

step 4. profit
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Read 2 more answers
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