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2 years ago

An automobile travels 2340km and uses 180 L of gasoline. Find its fuel consumption in kilometers per litre

Mathematics

2 answers:

Sonbull [250]2 years ago

4 0

13 kilometers per liter

olga55 [171]2 years ago

3 0

It's fuel consumption is 2340/180

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The product of two consecutive positive integers is 812. What is the value of the lesser integer?

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The value of the lesser integer is 28

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1 year ago

2/21 times 7/8 in simplest form

Angelina_Jolie [31]

2/21 * 7/8

14/168

divide top and bottom by 14

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2 years ago

I need help with this if anyone can help

Fiesta28 [93]

Answer: $\Large\boxed{Fourth~Choice.~f(x)=2-i}$

Concept:

Here, we need to know the power of imaginary numbers

i = √(-1)

i² = -1

i³ = -i

i⁴ = 1

Solve:

Given function expression

$f(x)=x^3-2x^2$

Given the requirement of the question

To find the expression for f(i)

Substitute values into the expression

$f(x)=(i)^3-2(i)^2$

Simplify the exponents

$f(x)=(-i)-2(-1)$

Expand the parenthesis

$f(x)=-i-(-2)$

$\Large\boxed{f(x)=2-i}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

1 year ago

Read 2 more answers

Help please:Suppose that x and y inversely, and x=10 when y=8 write the function that models the inverse variation

jarptica [38.1K]

SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}$

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

$\begin{gathered} y\propto\frac{1}{x} \\ y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

So we have the formula

$y=\frac{k}{x}$

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

$\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}$

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

$\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}$

Hence the answer is option C

7 0

1 year ago