Graph: f(x) = |x – 2| – 4

Step 1: Identify the translation. The parent absolute value function is translated 2 units. and 4 units

Step 2: The vertex of the parent is (0, 0). Plot the vertex of the translated function two units to the right and four units down from (0, 0).

Step 3: Evaluate the function at one more point to the left of the vertex.
f(1) =

Step 4: Use symmetry to find another point. Another point is

Step 5: Plot the points (1, -3) and (3, -3).

Step 6: The straight lines through these points show the graph of the function
__________________
Step 1: to the right; down
Step 3: -3
Step 4: (3,-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:

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.

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).

Learn more about Function:

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Answer:

123-456-789

Step-by-step explanation:

es la suprimeral

Its 0.92

Sure hope this helsp you :D

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:

ad r4

Step-by-step explanation:

rfrrrrfe

Answer:

115.86

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

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:

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:

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:

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]

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: 23

Step-by-step explanation:

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

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:

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:

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:

[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:

the answer of given question is 1/5

Answer: 6 red and 7 blue

Step-by-step explanation:

Cut in half the amount of each balloon

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:

yes, it form a proportion...

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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.

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.

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