Ian Zander earns extra money by refinishing wood floors. His charge is based on the size and condition of the floor. Last month, he refinished 6 floors for $140 each, 2 floors for $220 each and 1 floor for $178. What average amount per floor did he earn for the month?

A function assigns the values. The function is f(x) = (8x - 8)/(x² + 2x).

A function assigns the value of each element of one set to the other specific element of another set.

A rational function has a denominator and a numerator.

Vertical asymptotes are x-values that the function approaches but never touches. By setting the denominator to zero, we may discover the vertical asymptotes.

Since the vertical asymptote is x=-2 and x=0,  our denominator of the function will be

x(x+2) = x²+2x

Horizontal asymptotes are y values that the function approaches but never touches. Because the horizontal asymptote is y=0, the numerator's degree must be less than the denominator's degree. And because the x-intercept is equal to one, our numerator will be

x - 1

At the moment, The function can be assumed to be,

f(x) = (x - 1)/(x²+2x)

Next, we need to use the condition f(2)=1.   If we plug in x=2, f(x) should equal 1. But we need to multiply the right side of the function by some constant C.

The condition f(2)=1 must then be applied. If we substitute x=2, f(x) should equal 1. However, we must multiply the right side of the function by a constant C.

1 = C(2 - 1)/(2²+2(2))

Solve for C.

1 = C / 8

8 = C

So the function will be

f(x) = [8(x - 1)] / [(x² + 2x)]

f(x) = (8x - 8) / (x² + 2x)

Hence, the function is f(x) = (8x - 8)/(x² + 2x).

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If each of A, B, and C are mutually independent, then

P(A and B and C) = P(A) P(B) P(C)

so that the probability of the three-way intersection is

P(A and B and C) = 0.66 × 0.52 × 0.78 = 0.267696 ≈ 0.27

Answer:

x = 40

Step-by-step explanation:

Preform the opposite opposite operation to get x by itself.

  -80 = -120 + x

+ 120   +120

    40  =  x

Answer:

answer

Step-by-step explanation:

Answer is, 40

Answer:

Step-by-step explanation:

Here's an example:

x^2 + 6x + 9 = 0

First factorise it:

(x + 3)(x + 3) = 0

So the solution is  x = -3 (multiplicity 2)

That is there are 2 roots both -3.

Answer:

the value of x must be -2 . ie option b

Answer:

x-1=-x²+2x+5

-x²+(2x-x)+(5+1)=0

-x²+x+6=0

(x-3)(x+2)

x=3 or x=-2

Answer:

215,00.

Step-by-step explanation:

Average price = 22500

18000*2 + 28000 + 27000 + x = 22500*5

91000 + x = 112500

X = 21500

Answer:

R215,00

Step-by-step explanation:

Let x = amount the 5th music shop charges for the strings

[tex]\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}[/tex]

[tex]\implies \sf 225=\dfrac{180+180+280+270+x}{5}[/tex]

[tex]\implies \sf 225\cdot 5=910+x[/tex]

[tex]\implies \sf 1125=910+x[/tex]

[tex]\implies \sf x=1125-910[/tex]

[tex]\implies \sf x=215[/tex]

Therefore, the fifth music shop charged R215,00 for the strings.

Answer:

47/4 but you can simplify it to 11 3/4

Step-by-step explanation:

11 is the whole number and 75 is 3/4ths of 1 or another whole number.

Answer:

yes, it form a proportion...

====================================================

Explanation:

Count the number of leaves marked in green.

There are 2+3+5+3 = 13 leaves total. This represents tickets were sold on 13 days.

Each stem and leaf combines to form a different ticket count. For instance, the stem of 1 and leaf of 8 combine to get the value 18. So 18 tickets were sold on that particular day.

Its 0.92

Sure hope this helsp you :D

Answer: 23

Step-by-step explanation:

By the alternate exterior angles theorem, [tex]4x-11=x+58 \longrightarrow x=\boxed{23}[/tex]

Step-by-step explanation:

[tex]y = 6 \tan( \frac{x}{2} ) - 3[/tex]

Set y=0

[tex]0 = 6 \tan( \frac{x}{2} ) - 3[/tex]

[tex]3 = 6 \tan( \frac{x}{2} ) [/tex]

[tex] \frac{1}{2} = \tan( \frac{x}{2} ) [/tex]

[tex] \tan {}^{ - 1} ( \frac{1}{2} ) + \pi = \frac{x}{2} [/tex]

Multiply both sides by 2

[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi = x[/tex]

So the x intercepts of the function is

[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi[/tex]n

Answer:

Step-by-step explanation:

Let

Eqautions as per question

Combined, there are 182 ​Asians, Africans,​ Europeans, and Americans in a village.

The number of Asians exceeds the number of Africans and Europeans by 59.

The difference between the number of Europeans and Americans is 14.

If the number of Africans is​doubled, their population exceeds the number of Europeans and Americans by 16

Substitute a, b and c into the first equation and solve for d

Find the other variables

We found that

Answer:

123-456-789

Step-by-step explanation:

es la suprimeral

Answer:

d

Step-by-step explanation:

(8x)^2 = (2x)^2 + y^2

64x^2 - 4x^2 = y^2

60x^2 = y^2

y = 2x√15

Answer:

ad r4

Step-by-step explanation:

rfrrrrfe

Answer:

90°.

Step-by-step explanation:

if AR is diameter and the angle ∠AOR (it's m∠2) is based on this diameter, then its measure is 90°. It is central angle.

Answer:

BCA

CAB

ABC

that kind of triangle is a scalene triangle, meaning there are no equal sides. if you see, B is the smallest of the sides and C is the largest, so A is in the middle.

Answer:

same

Step-by-step explanation:

A line remains same if the center of dilation is on the line.

Answer:

11x^2+4x-6

Step-by-step explanation:

Can't tell if its asking for the values of x, but thats the final expression^

Answer:

11[tex]x^{2}[/tex]+4x-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Initial value is 10 minutes and additional time is 4 minutes per week.

This is a linear function with

The formula for the time of run after n weeks is

Daily run time after 8 weeks is

Explanation:

The fraction 5/2 turns into 10/4 when you multiply top and bottom by 2

5*2 = 10

2*2 = 4

Or you could use long division or a calculator to notice that

5/2 = 2.5

10/4 = 2.5

Both result in the same exact decimal value, so the fractions must be equal. Each person runs exactly 2.5 miles everyday.

Answer:

[tex]2-\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}[/tex]

Answer:

27 and 28

Step-by-step explanation:

x+x+1=55

2x+1=55

2x=55-1

2x=54

divide each side by 2

x=27

x+1=28

check your answer adding the two integers

27+28=55

Answer:

[tex] \sqrt{3} [/tex]

Goodluck

Answer:

[tex]\sqrt 3[/tex]

Step-by-step explanation:

[tex]\tan 60^{\circ} = \dfrac{\sin 60^{\circ}}{\cos 60^{\circ}} = \dfrac{\tfrac{\sqrt 3}2}{\tfrac 12} = \dfrac{\sqrt 3}2 \cdot 2 = \sqrt 3[/tex]

The equation that shows the miles Andrea drove is $104 = $50 + $3x.

The total cost of renting the moving truck is a function of the cost to rent per day and the total miles driven. The cost to rent the truck per day is the fixed cost while the cost per mile is the variable cost.

Total cost = cost to rent per day + (cost per mile x total mile driven)

$104 = $50 + $3x

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Answer:

the answer of given question is 1/5