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3 years ago

Sarah paid $1,932 in tax on her new car which had a purchase price of $80,500 .

Mathematics

1 answer:

levacccp [35]3 years ago

6 0

Answer:

so when looking at the tax minus the cost

100%/x%=80500/1932

(100/x)*x=(80500/1932)*x

100=41.666666666667*x

100/41.666666666667 or 6 infinite will get us

2.4=x

x=2.4

so times 2.4% with every cost to see it it matches the tax given!

A is incorrect

it equals 1632

B is not correct as it equals 2208

C is incorrect as it equals 1800 dollars in tax

D is CORRECT as it has the same number in Tax

2040

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What is the inverse of this function? (Function in photo)

valkas [14]

Given:

The function is

$f(x)=-\dfrac{1}{2}\sqrt{x+3},x\geq -3$

To find:

The inverse of the given function.

Solution:

We have,

$f(x)=-\dfrac{1}{2}\sqrt{x+3}$

Put f(x)=y.

$y=-\dfrac{1}{2}\sqrt{x+3}$

Interchange x and y.

$x=-\dfrac{1}{2}\sqrt{y+3}$

Isolate the variable y.

$-2x=\sqrt{y+3}$

$(-2x)^2=y+3$

$4x^2-3=y$

$y=4x^2-3$

Putting $y=f^{-1}(x)$ , we get

$f^{-1}(x)=4x^2-3$

For $x\geq -3$ ,

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$-\dfrac{1}{2}\sqrt{x+3}\leq 0$

$f(x)\leq 0$

It means for function $f(x)\leq 0$ and for inverse function $x\leq 0$ because the range of the function is the domain of inverse function.

Therefore, $f^{-1}(x)=4x^2-3$ for $x\leq 0$ .

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3 years ago

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Lunna [17]

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3 years ago

Just 16 not the words below

alekssr [168]

Answer:

Table F

Step-by-step explanation:

The equation is C = 0.75t. The variable c is for cost and t is for tickets. When we use substitution to solve the equation, we see that table F correctly represents the situation. In simpler terms, the equation is asking us to mutliply the cost PER ticket by the number of tickets.

0.75 * 1 = 0.75

0.75 * 2 = 1.50

0.75 * 3 = 2.25

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And so on. As we can see, the only table that shows these values is in fact table F.

Hope this helps!

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Allushta [10]

Answer:

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crimeas [40]

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