Which property was used to write the equation in step 2?

The graph of k(x)=2(x-8)², a quadratic function, will be an upwards-opening parabola with a vertex at (8,0). To compare it with the graph of f(x), we need more details about f(x), which could be linear, quadratic, or a different type of function entirely. The comparison can focus on attributes like shape, orientation, position, steepness, continuity, differentiability, or periodicity.

The function k (x) = 2 (x-8)² is a quadratic function where 2 is the coefficient, and 8 is the amount that the graph is shifted to the right in the x coordinate. This graph will be a parabola that opens upwards, with a vertex at the point (8,0) due to the transformation in the x term (x-8).

To compare the graph of f(x) with the graph of k(x), we first need to understand the characteristics of f(x). For example, if f(x) is also a quadratic function, we can compare their shapes, orientations (upward or downward opening), positions (based on vertex and line of symmetry), and steepness (determined by the absolute value of the coefficient -- in this case, 2).

If f(x) is a linear function, it will be a straight line and we can compare the orientation, steepness (slope), and position (y-intercept). Or if f(x) is a different type of function entirely, the comparison will focus more generally on attributes like continuity, differentiability, periodicity, etc. Therefore, without additional details about f(x), a complete comparison isn't possible.

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Answer:

[tex]A=400\ people[/tex]

Step-by-step explanation:

we have

[tex]Q=600+\sqrt{A+41}[/tex]

where

Q -----> is the daily output

A -----> is the number of people

For Q=621

Find the value of A

substitute and solve for A

[tex]621=600+\sqrt{A+41}[/tex]

Subtract 600 both sides

[tex]621-600=\sqrt{A+41}[/tex]

[tex]21=\sqrt{A+41}[/tex]

squared both sides

[tex]21^{2} ={A+41}[/tex]

[tex]441={A+41}[/tex]

Subtract 41 both sides

[tex]441-41=A[/tex]

Rewrite

[tex]A=400\ people[/tex]

Step-by-step explanation:

∠YXZ and ∠VXU are vertical angles, and therefore are congruent.

∠YXZ ≅ ∠VXU, Vertical ∠'s ≅

Next, we're given that lines YZ and UV are parallel.  That means that ∠YZV and ∠UVZ are alternate interior angles, and therefore congruent.

∠YZV ≅ ∠UVZ, If lines ||, then alternate interior ∠'s ≅

If two triangles have two pairs of congruent angles, then the third pair must also be congruent, making the two triangles similar.

△XYZ ~ △XUV, AA

Since the triangles are similar, then by definition, their sides are proportional.

XY/XU = YZ/UV, Definition of Similar Polygons

YZ || UV - Given

YXZ = VXU - Vertical triangles =

YZV = UVZ - If lines ||, alternate internal triangles =

XYZ ~ XUV - AA

XY/XU = YZ/UV - Definition of Similar Polygons

Answer:  The overall percent loss is 28%.  

Step-by-step explanation:  Given that a stock loses 10% of its value on Monday and on Tuesday it loses 20% of the value it had at the end of the day on Monday.

We are to find the overall percent loss in value from the beginning of Monday to the end of Tuesday.

Let x represents the value of a stock at the beginning of Monday.

Then, the value of the stock at the end of Monday is given by

[tex]x-10\%\times x=x-\dfrac{10}{100}x=x-\dfrac{x}{10}=\dfrac{9}{10}x.[/tex]

So, the value of the stock at the beginning of Tuesday is [tex]\dfrac{9}{10}x.[/tex]

Therefore, the value of the stock at the end of Tuesday is given by

[tex]\dfrac{9}{10}x-20\%\times\dfrac{9}{10}x\\\\\\=\dfrac{9}{10}x-\dfrac{20}{100}\times\dfrac{9}{10}x\\\\\\=\dfrac{9}{10}-\dfrac{9}{50}x\\\\\\=\dfrac{36}{50}x\\\\\\=\dfrac{18}{25}x\\\\\\=x-\dfrac{7}{25}x\\\\\\=x-\dfrac{28}{100}x\\\\\\=x-28\%x.[/tex]

Thus, the overall percent loss is 28%.  

Answer: 29 degrees is the answer

Step-by-step explanation:

The bisector is the line that divides the angle, and rhombus diagonally. So, basically you're just dividing 58 in half. Which is 29 degrees.

The measure of each of the two angles formed by the bisector of the diagonal of a rhombus will be 29 degree.

Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

We have,

A Rhombus with one of its angle equal to 58°.

Now,

Bisector of an angle, divides an angle into two equal parts.

So,

From the above mentioned definition,

i.e.

[tex]=\frac{58}{2} = 29^0[/tex]

So, the measure of each angle is 29°.

Hence, we can say that the measure of each of the two angles formed by the bisector of the diagonal of a rhombus will be 29 degree.

To know more about angle click here

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The distance of the line segment joining the points (5, 4) and (-2, 1) is found using the distance formula. Substituting the given points into the formula, we calculate the distance to be approximately 7.62 units.

The distance between two points (x1, y1) and (x2, y2) in a 2-dimensional Cartesian plane is given by the distance formula: √[(x2-x1)² + (y2-y1)²].

Substituting the given points (x1, y1) = (5, 4) and (x2, y2) = (-2, 1), we get:

Distance = √[(-2 - 5)² + (1 - 4)²] = √[( -7)² + (-3)²] = √[49 + 9] = √58 ≈ 7.62.

Therefore, the distance of the line segment joining the two points (5, 4) and (-2, 1) is approximately 7.62 units.

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Check the picture below.

[tex]\bf \stackrel{\textit{triangles' area}}{\cfrac{1}{2}(6)(1)+\cfrac{1}{2}(6)(1)}+\stackrel{\textit{front side}}{(6\cdot 2)}+\stackrel{\textit{left and right sides}}{(4\cdot 2)+(4\cdot 2)}\implies 3+3+12+8+8[/tex]

The slope is 0. y  = 7 makes a horizontal line, therefore there is no rise only a run.

Remember: If it creates a horizontal line the slope is zero

Hope this helped!

~Just a girl in love with Shawn Mendes

To find the total profit for both wallets sold by Efficient Homemakers Ltd., use the equation P = 40x + 25y, where x is the number of leather wallets and y is the number of canvas wallets sold.

The question involves writing a function for the total profit from selling canvas wallets and leather wallets made by Efficient Homemakers Ltd.

To calculate the total profit, we denote x as the number of leather wallets and y as the number of canvas wallets.

The company makes a profit of $40 for each leather wallet, and $25 for each canvas wallet.

Thus, the total profit P can be represented by the equation:

P = 40x + 25y

This equation represents the total profit as a function of the number of leather wallets (x) and the number of canvas wallets (y) sold.

Answer:

[tex]\frac{15}{8}[/tex]

Step-by-step explanation:

"the quotient of 1 and 2/3 " expressed mathematically is,

1 ÷ [tex]\frac{2}{3}[/tex] = [tex]\frac{3}{2}[/tex]

"divided by 4/5"

[tex]\frac{3}{2}[/tex] ÷ [tex]\frac{4}{5}[/tex]

=[tex]\frac{3}{2}[/tex] x [tex]\frac{5}{4}[/tex]

= [tex]\frac{15}{8}[/tex]

Answer:

40

Step-by-step explanation:

5√64 = 5 x 8 = 40

Answer:

√5

==

 8

or

Sqrt5

  over

  8

Step-by-step explanation:

Answer: B) .47

Step-by-step explanation: As all of those numbers have a decimal with no whole number, we look past the decimal. Then you realize 4 is greater than 1, 0, 1 and 0. You ignore the numbers past it and read it from left to right all the time.

The greatest value is 0.47. Then the correct option is B.

Let the number will be a, b, c, d, and e.

If the value of the arbitrary constant d has a maximum value then the greatest value will be of d.

The numbers are given below.

0.1, 0.47, 0.049, 0.192, and 0.0864.

Then the greatest value is 0.47.

Then the correct option is B.

More about the greatest value link is given below.

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Check the picture below.

Answer:

-1,-2

Step-by-step explanation:

If you are doing this for FLVS and this helped make me the brainlist

Answer: n + 2 = 2n

Step-by-step explanation:

sum = add

number and two = n, 2

twice the number = 2 x n

Answer:  n + 2 = 2n

Step-by-step explanation:

Answer:

Equation of this line is y = 1

Step-by-step explanation:

We have to write an equation of a line passing through (0,1) and slope 0.

Standard equation of a line in slope form is y = mx + c

Where m = slope and c = y intercept.

Since m = 0

so y = c is the equation.

This line passes through (0,1)

so equation will be Y = 1

Equation of this line is y = 1

Answer:

lcm = 4

Step-by-step explanation:

20 = 2 × 2 × 5 ← product of prime factors

12 = 2 × 2 × 3 ← product of prime factors

The lowest common multiple (lcm) = 2 × 2 × 5 × 3 = 60

Answer:

60

Step-by-step explanation:

First, break down each of the numbers into their prime factors.

20 = 2² x 5

12 = 2² x 3

To find the LCM, underline each of the prime numbers. If there is a repeated prime number, underline the one with the largest possible value. For example, if there is 3² and 3³, underline the second one. In this case, the values are the same, so just underline one.

20 = 2² x 5

12 = 2² x 3

Next, multiply all the underlined numbers.

LCM (20, 12) = 2² x 5 x 3 = 60

Answer:

26$ Per ticket

missing number is 156$

Step-by-step explanation:

Find how much each ticket is by dividing 78 by 3 which is 26 the multiply 26 and 6 to find the missing number hope this helped :)

Answer:

The value of one ticket is 26 dollars, so for 6 tickets would be 156 dollars...

Step-by-step explanation:

$78 ÷ 3 tickets = $26

$26 × 6 tickets

= $156 for 6 tickets.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. In this case, the answer is 9/4.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of 1/3 is 3/1. So, we have:

3/4 ÷ 1/3 = 3/4 * 3/1 = 9/4.

The answer, 9/4, cannot be further reduced to lowest terms since 9 and 4 do not have any common factors other than 1.

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Answer:

m = 12f

Or

m/12 = f

Step-by-step explanation:

The conversion from inches to feet involves a constant factor of variation which is 12. Inches is a smaller unit while feet are obtained by dividing the inches with 12.

As we know,

1 foot = 12 inches

Given in the question:

m = measurement in inches

and

f= measurement in feet

Hence the equation will be:

m = 12f

Or

m/12 = f ..

Answer: 60

Step-by-step explanation:

A circle is 360 degrees, so 360/6 is your answer.

Answer:

The answer is 27 patients.

Step-by-step explanation:

There are 3 patients per floor. There are 9 floors.

3 x 9 = 27

There are 27 patients in all.

I hope this helped! :)

Answer:

A:33,22,55

Step-by-step explanation:

Answer: A is correct, an = 5(−2)n − 1

Step-by-step explanation:

The formula for geometric sequences is an=a(r)^n-1

a is the first term, which is 5 in this case

r is the common ratio, which is -2 because (5)(-2)=-10

Answer: The number before the decimal

Step-by-step explanation:

The digit in the ones place is 9, in the given number 409.21.

The given number is 409.21

⇒ 400 + 00 + 9 + 2×(1/10) + 1×(1/100)

⇒ 4×100 + 0×10 + 9×1 + 2×(1/10) + 1×(1/100)

So, the digit in ones place is 9.

Learn more about the place value system here:

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Answer:

[tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex]

Step-by-step explanation:

We need to find the product of: [tex]-2x^{a}(-4x^{b}-2x^{3}+5x)[/tex]

We have that:

[tex]-2x^{a}(-4x^{b}-2x^{3}+5x)[/tex] = [tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex]

We can't simplify more the expression, therefore, the solution is:

[tex]8x^{a+b}+4x^{3+a}-10x^{a+1}[/tex].

Answer:

r(5)=3.05 t(5)=15

Step-by-step explanation:

x=5

r(5)=(1.25)^5

r(5)=3.05

t(5)=3(5)

t(5)=15

Answer:

1. Write all the equations in standard form, leaving out decimals or fractions.

2. Select the variables to be eliminated; And then you take two of these equations, and you eliminate the variables.

3. Select a different set of two equations and eliminate the same variables as in step 2.

4. Solve two equations containing two variables from steps 2 and 3.

5. Substitute the answer to step 4 into any equation that contains the remaining variables.

6. Check the solution with three original equations.

To solve a system of three equations using the elimination method, pair up the equations, eliminate a variable from each pair, solve for the remaining variable and substitute this value into other equations to find the values of other variables.

To solve a system of three equations using the elimination method, the process involves eliminating one variable at a time to eventually have one equation with one variable left, which you can then solve.

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Answer:

(5, - 4)

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

x² - 10x + 21 ← is in standard form

with a = 1, b = - 10, so

[tex]x_{vertex}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5

Substitute x = 5 into the quadratic for the corresponding value of y

y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4

vertex = (5, - 4)

First divide 6 to both sides to isolate q. Since 6 is being multiplied by q, division (the opposite of multiplication) will cancel 6 out (in this case it will make 6 one) from the right side and bring it over to the left side.

18 ≥  6q

18 ÷ 6 ≥ 6q ÷ 6

3 ≥  1q

3 ≥  q

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

3 ≥ q OR q ≤ 3

aka 3 is greater then q OR q is less then 3

This means that the graph will have an colored circle and the arrow will go to the left of 3. Look at image below.

Hope this helped!

~Just a girl in love with Shawn Mendes

Step-by-step explanation:

If the B is the middle of the segment AC,

AC= AB+BC

AC=7+12= 19.

If I'm wrong, correct me please. I would be pleased.