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2 years ago

Please help and Please write real equation for the answer thank you

Mathematics

1 answer:

Sidana [21]2 years ago

4 0

Answer:

f(x) = (3x -12)/(x² -7x +12)

Step-by-step explanation:

The equation for a rational function can be written from the clues offered by the horizontal and vertical asymptotes, the y-intercept, and any "holes" in the function graph. Here, those clues are ...

horizontal asymptote: y = 0
vertical asymptote: x = 3
hole: (x, y) = (4, 3)
y-intercept: (0, -1)

The horizontal asymptote at y=0 tells you the denominator is of higher degree than the numerator. The vertical asymptote at x=3 tells you (x-3) is a factor of the denominator. The hole at x=4 tells you there is a factor of (x-4) in both numerator and denominator.

At this point, the function is tentatively ...

$f(x)=a\dfrac{x-4}{(x-3)(x-4)}$

Evaluating this at the y-intercept, x=0, gives ...

f(0) = -1 = a/(0 -3) = -a/3

a = 3 . . . . . multiply by -3

Then our rational function, consistent with all of the features of the graph, is ...

$f(x)=\dfrac{3(x -4)}{(x -3)(x -4)}\\\\\boxed{f(x)=\dfrac{3x-12}{x^2-7x+12}}$

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3 years ago

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A yogurt company claims that it prints a free yogurt coupon under a randomly selected 20% of its lids. A loyal customer purchase

Alona [7]

Answer:

The customer can conclude that the company's claim is correct

Step-by-step explanation:

The percentage of lids that has a free yogurt coupon = 20%

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3 years ago

How many acres of land are in a rectanglar parcel 234' * 878'

uysha [10]

An acre is 43,560 ft² because the customary system hates you.

Let's find out how many square feet the parcel is so we can convert it into acres.

The area of a rectangle is its base times its height.

A = bh
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A = 205,452 ft²

Divide by 43,560.

A ≈ <span>4.7165 acres. (round as needed)</span>

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3 years ago

Plz answer and im giving a lot of points ; ; oh and its two questions in one

Natali [406]

Please don't ask 2 questions in 1 question

remember that percent is parts out of 100 so x%=x/100
basically just remove the percent sign and move the decimal place 2 places to the left to convert to fraction

the first one
20 dollars
4.75% tax
15% tip
it depends if you want to tip on the total with tax or without tax
it is better to top on the without-tax value since tax comes from you so
find 4.75% of 20 and add that to 15% of 20 then add that to 20 to get the proper value

scenarios
1. 20+(20 times 4.75%)+(20 times 15%)=23.95
2. ([(20 times 104.75%)] times 115%)=24.09
both are bellow $25 so $25 shoudl be enough to cover it

total cost of a spa treatment of 42 with 6% tax and 20% tip
so you could again do two things:
1. apply tax and give tip on the new amount
2. find the tip and add that to the tax of only 42

scenarios:
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2. (42 times 20%) +(42 times 106%)=$52.92
it depens on what you tip on

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3 years ago

What is the measure of the<br> third angle of this triangle?

Illusion [34]

Answer:

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Step-by-step explanation:

every triangle had 3 angles that all add up to 180

the problem gives you two angles which are 120+40 which is 160

180-160 is 20 degrees which is whi it is the answer

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2 years ago