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liq [111]
3 years ago
6

9 cups for 6 dollars. many cups for 1 dollar​

Mathematics
1 answer:
Rainbow [258]3 years ago
4 0

Answer:

1 cup for 1.5 dollars

Step-by-step explanation:

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F(x)=ax+b/2 then f^-1 (x-1) =2x-5/2 find a and b​
krok68 [10]

From the given inverse function, we have

f^{-1}(x-1) = 2x - \dfrac52 \\\\ \implies f^{-1}(x) = f^{-1}((x+1)-1) = 2(x+1) - \dfrac52 = 2x-\dfrac12

By definition of inverse function,

f\left(f^{-1}(x)\right) = x

so that

f\left(2x-\dfrac12\right) = x

a\left(2x-\dfrac12\right) + \dfrac b2 = x

2ax - \dfrac a2 + \dfrac b2 = x

\implies\begin{cases}2a=1 \\\\ -\dfrac a2+\dfrac b2 = 0\end{cases}

\implies \boxed{a=\dfrac12}

\implies \dfrac b2 = \dfrac a2 \implies \boxed{b=\dfrac12}

8 0
2 years ago
A motorcycle can travel 70 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 60 km?
cricket20 [7]
We have the following given
mileage = 70 miles per gallon
distance = 60 km

Required: amount of fuel in gallons

First, we must convert the distance to miles, so
60 km (1 mi/1.6 km) = 37.5 mi

So, the amount of fuel is
37.5 mi / (70 mi/gal) = 0.54 gallons
5 0
3 years ago
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1+1 (FYI It's a Riddle)
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Answer:

2?

Step-by-step explanation:

4 0
2 years ago
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What is the solution to this inequality?<br> X-6&lt;-4
Gekata [30.6K]

Step-by-step explanation:

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8 0
2 years ago
What is the value of x if 2x+5=10
Mamont248 [21]
Check the attachment below. Answer: 5/2

7 0
3 years ago
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