ANYONE GOOD AT MATH? PLEASE PLEASE PLEASE SOMEONE HELP ME :(

Mathematics

1 answer:

Mumz [18]2 years ago

3 0

Answer:

The parent function is $f(x)=a(x-h)^{2} +k$

That Parabola's equation is $f(x)=x^{2}$

Step-by-step explanation:

I can't really explain much, but the top equation is a formula for all equations for a parabola. h and k are the x and y-values of the vertex. a is, well, a.

How did I find the equation of the parabola? Simple. Since the vertex is on the origin, h and k are 0. Also, because it intercepts (2,4) and (1,1), a=1.

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Someone help ASAP will give brainliest

bogdanovich [222]

The 3rd answer, is correct.

3 0

3 years ago

The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,

pav-90 [236]

Let the total cost of the item be represented by C and the price be represented by P, then given that the total cost of an item including sales tax is directly proportional to its price, thus

$C\propto P \\ \\ \Rightarrow C=kP$

where k is a constant.

Given that the total cost of a $32 item is $33.60, thus

$33.60=32k \\ \\ \Rightarrow k= \frac{33.60}{32} =1.05$

Therefore, the total cost on a $55 item is given by

$C=1.05\times55=\$57.75$