Proportion Word Problems Maze Worksheet
One US dollar equals 0.84 euros. Margo wants to exchange $400 for euro. How many euros will she receive in exchange?

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

hope this helps

i took this test

The graph of the function is plotted with the zeros of the function at x = -5 and x = 1

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x² + 4x - 5  be equation (1)

On simplifying the equation , we get

f ( x ) =  x² + 4x - 5

On factorizing , we get

f ( x ) = x² - x + 5x - 5

f ( x ) = x ( x - 1 ) + 5 ( x - 1 )

Taking the common factors , we get

f ( x ) = ( x + 5 ) ( x - 1 )

when f ( x ) = 0

( x + 5 ) ( x - 1 ) = 0

So , the zeroes of the function are

when ( x + 5 ) = 0

x = -5

And , when x - 1 = 0

x = 1

Hence , the function f ( x ) = ( x + 5 ) ( x - 1 ) is plotted on the graph

To learn more about graph of polynomials click :

https://brainly.com/question/16957172

#SPJ9

Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.

To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:

Help Center to Water Slide #1:

Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)

Toddler area to Concessions:

Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)

Gift Shop to Restrooms:

Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)

Security desk to Water Slide #2:

Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)

Lazy River to Large Whirlpool:

Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5

Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)

Presently, let's calculate the linear equations for each case:

Help Center to Water Slide #1:

The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.

Toddler area to Concessions:

The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:

-7.5 = (-1/3)(1.5) + b

-7.5 = -0.5 + b

b = -7

Gift Shop to Restrooms:

The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.

Security desk to Water Slide #2:

The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.

Lazy River to Large Whirlpool:

The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:

12 = (2/5)(-2) + b

12 = -4/5 + b

b = 61/5

The Linear equations for each case are as follows:

Help Center to Water Slide #1: y = 3

Toddler area to Concessions: y = (-1/3)x - 7

Gift Shop to Restrooms: y = -9

Security desk to Water Slide #2: y = 4

Lazy River to Large Whirlpool: y = (2/5)x + 61/5

Learn more about slope here:

https://brainly.com/question/29044610

#SPJ1

The required, in a reflection of triangle AB ≡ A'B' and ΔABC ≡ ΔABC are true.

AB ≡ A'B': True, because a reflection conserves length, so corresponding segments are congruent.

BC < B'C': False, in general, the length of conserves is preserved under a reflection, so BC = B'C'.

Triangle BACE = triangle B'A'C': True, because a reflection also conserves shape and size, so corresponding angles and sides are congruent.

∠BCA > ∠B'C'A': False, because the measure of an angle is not preserved under a reflection.

Learn more about congruent geometry here;

https://brainly.com/question/30293773

#SPJ1

Answer:

76890000000 to 7.689 ×10^10

Step-by-step explanation:

The distance between the tree and the ground is represent with x

Using pythagoras theorem

The distance between the tree and the ground is 16.5 feet

In a right angle triangle (i.e a triangle that has one of its angle equal to 90 degrees)

There are three sides, namely; the hypotenus, the opposite and the adjacent

The hypotenus is the side opposite to the right angle, so to identify the hypotenus, locate the 90 degrees, the side facing that right angle is the hypotenus

The opposite side is dependent on the reference acute angle of the other two acute angles while the third side is the adjacent. So with a given reference angle in the triangle, the opposite is the side facing that reference angle.

Pythagoras state that

In the question hyp = 17 (side facing the 90 degrees), opp = x, adj = 4

The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

If you want to learn more about domain and range:

https://brainly.com/question/10197594

#SPJ1

Answer:

9x-8

Step-by-step explanation:

4x-3+8x-5-3x

12x-3-5-3x

12x-8-3x

9x-8

Answer:

x ≈ 24.4

Step-by-step explanation:

Given

tan18° = \(\frac{x}{75}\) ( multiply both sides by 75 )

75 × tan18° = x , then

x ≈ 24.4 ( to 1 dec. place )

Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

Answer: I am not sure if this is right, but I ended up getting A for your question.

Step-by-step explanation:

Answer:

umm i think A C D E ?

Step-by-step explanation:

because theyre all the same. some is just distribution. you should wait for another opinion though because im too lazy to check for B  

Answer:

(0,-3) and (6,0)

Step-by-step explanation:

Now you use two point form to make equation

Y2-Y1/Y-Y1=X2-X1/X-X1

here Y2=0 ,Y1=-3

X2=6 and X1=0  now put in equation to get answer

Using the k from above find x given that y = 9.  Therefore, when y = 9, x is equal to 1.

We can use the formula for direct variation to find the constant of proportionality k:

Proportionality refers to the relationship between two variables where their ratio remains constant. In other words, as one variable changes, the other changes in proportion to it. This relationship is often expressed as a direct variation or an inverse variation.

Direct variation is a type of proportionality where the two variables increase or decrease at the same rate

y = kx

We are given that y = 27 when x = 3:

27 = k * 3

We can solve for k by dividing both sides by 3:

k = 27 / 3 = 9

So the constant of proportionality is 9.

Now, we can use this value of k to find x when y = 9:

y = kx

9 = 9x

Dividing both sides by 9, we get:

x = 1

Therefore, when y = 9, x is equal to 1.

To know more about   proportionality. here

https://brainly.com/question/27598477

#SPJ9

The total perimeter of the given composite figure is; 74.55 meters

The perimeter of the given figure can be calculated by dividing the figure into two parts : One is semi-circle and second is rectangle.

To find Perimeter of rectangle :

Length of the rectangle = 18 m

Width of the rectangle = 15 m

Perimeter = (2 × Length) + Width

Perimeter = (2 × 18) + 15

Perimeter = 36 + 15

Perimeter = 51 meters

To find perimeter of semi-circle :

Radius of semi-circle = 15/2 = 7.5 m

Perimeter of semi-circle = π × radius

Perimeter = 3.14 × 7.5

Perimeter = 23.55 meter

So, Total Perimeter of the figure = 51 + 23.55

= 74.55 meter

Read more about perimeter of composite figure at; https://brainly.com/question/28838199

#SPJ1

Answer:

d

Step-by-step explanation:

The dimensions of the rectangular window that gives a maximum area are as follows;

Width = \(\dfrac{12}{2+\pi }\) feet and length = 3 feet

The maximum value of a function is given by the point at which the graph of the function has the highest value.

The parameters of the window are;

Length of the framing material available = 12 ft.

The shape of the window = A semicircle on top of a regular rectangular window

Required; The dimension of the rectangular part of the Norman window that allows the most light

Solution;

Diameter of the semicircular part of the window = The width of the rectangular part

Let x represent the width of the window, we have;

Perimeter of the semicircle = π·x/2

Side length of the rectangular window = (12 - π·x/2 - x)/2

Area of the rectangular part of the window, A = x × (12 - π·x/2 - x)/2

Area of the semicircle = π·x²÷4

Area of the window, is therefore;

\(A =\dfrac{ x \times (12 - \dfrac{\pi \cdot x}{2} - x)}{2} +\dfrac{ \pi \cdot x^2}{4}\)

At the maximum area, of the rectangular part, we have;

\(A_r' =\dfrac{d}{dx}\left( A =\dfrac{ x \times (12 - \dfrac{\pi \cdot x}{2} - x)}{2} \right) = -\dfrac{x\cdot \pi +2\cdot x-12}{2} = 0\)

x·π + 2·x - 12 = 0

The width, x = \(\dfrac{12}{2+\pi }\) feet

The length of the rectangle is therefore;

\((12 - \pi \cdot \dfrac{6}{2+\pi } - \dfrac{12}{2+\pi })/2 = 6 - \pi \cdot \dfrac{3}{2+\pi } - \dfrac{6}{2+\pi } = 3\)

The length of the rectangular window = 3 feet

Learn more about the maximum value of a function here:

https://brainly.com/question/15300035

#SPJ1

Answer:

22.4722

Step-by-step explanation:

To answer this question we need to use the distance formula. The distance formula is as follows:

\(d = \sqrt{(x2 - x1)^2+(y2 - y1)^2}\)

Now, let's identify what each variable is:

x2 = 13

x1 = -8

y2 = -1

y1 = 7

Next, let's put these into the equation:

\(d = \sqrt{(13 - (-8))^2 + (-1 -7)^2}\)

Time to solve the equation:

\(d = \sqrt{(21)^2+(-8)^2} \\d = \sqrt{441 + 64} \\d = \sqrt{505} \\d = 22.4722\)

Therefore, the distance between the points of (-8,7) and (13,1) is 22.4722.

I hope this helps!!

- Kay :)

The vertex form of the equation is y = 3(x + 2)^2 - 5

The equation is given as:

y = 3x^2 + 12x + 7

Set to 0

3x^2 + 12x + 7 = 0

Subtract 7 from both sides

3x^2 + 12x = -7

Divide through by 3

x^2 + 4x = -7/3

-------------------------------------------------------------------

Take the coefficient of x

k = 4

Divide by 2

k/2 = 2

Square both sides

(k/2)^2 = 4

-------------------------------------------------------------------

So, we add 4 to both sides of x^2 + 4x = -7/3

x^2 + 4x + 4 = -7/3 + 4

Express as perfect square

(x + 2)^2 = -7/3 + 4

Multiply through by 3

3(x + 2)^2 = -7 + 12

Evaluate

3(x + 2)^2 = 5

Subtract 5 from both sides

3(x + 2)^2 - 5 = 0

Rewrite as

y = 3(x + 2)^2 - 5

Hence, the vertex form of the equation is y = 3(x + 2)^2 - 5

Read more about completing the square at:

https://brainly.com/question/4822356

#SPJ1

ANSWER

1 is equal to 1: 1 = 1

EXPLANATION

Given 45/45 and 1

Hence 1 is equal to 1

1 = 1

1) Considering that the Pythagorean Theorem is given by:

a² =b² +c²

And, that we can plug into "a" the hypotenuse. We can write down the following steps from top to bottom, in order to solve for the leg AD (not the hypotenuse)

2) So we can write this down:

Answer:

Step-by-step explanation:

Answer:

first is a function second third ad fourth arent function

Step-by-step explanation:

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The collection of values that could result in a function's outputs is known as the co-domain.

Given:

As, we know the relation is said to be a function if we have distinct inputs.

If the inputs are repeated then it is not a function.

So, {(3, 2),(6, 4),(9, 6),(12, 8)} is a function.

Also, {(2, 3),(2, 5),(3, 6),(9, 4)} is not a function.

{(2, 4),(6, 3),(4, 8),(6, 6)} is not a function.

{(3, 4),(5, 2),(6, 8),(6, 4)} is not a function.

Learn more about function here:

https://brainly.com/question/13956546

#SPJ2

Answer:

Rational

Step-by-step explanation:

\( \sqrt{100} = 10 \\ \\ 10 \: is \: a \: rational \: number \\ so \: \sqrt{100} \: is \: rational\)

The missing statement 4 of the two column proof of AD ║ BC is:

Statement 4: m∠1 + m∠4 = 180°

The complete two column proof to show that AD || BC is as follows:

Statement 1: AD ║ DC

Reason 1: Given

Statement 2: m∠2 = m∠4

Reason 2: Given

Statement 3: ∠1 and ∠3 are supplements

Reason 3: Same side interior angles theorem

Statement 4: m∠1 + m∠4 = 180°

Reason 4: Def. of Supplementary angles

Statement 5: m∠1 + m∠2 = 180°

Reason 5: Substitution

Statement 6: ∠1 and ∠2 are supplements

Reason 6: Def. of Supplementary angles

Statement 7: AD ║ BC

Reason 7: Converse same side interior angles thm

Read more about Two Column Proof at: https://brainly.com/question/1788884

#SPJ1

Answer:

I think it is 6 over 2 end fraction

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

n + 13 = how many cakes Carol has.

Step-by-step explanation:

Cause if you think about it, it doesn't say how many Joseph has or how many cakes there are in total. So in my opinion, n + 13 = how many cakes Carol has.

Answer:

no, the backyard is only 150 square ft. so a pool with an area of 379.94 square ft will not fit

Step-by-step explanation:

10×15=150

Solution:

Note that:

Forming an equation:

Solving the equation:

The missing value is 9.

9514 1404 393

Answer:

  4

Step-by-step explanation:

The slope formula is useful:

  m = (y2 -y1)/(x2 -x1)

  m = (13 -5)/(4 -2) = 8/2

  m = 4

The slope of the line through those points is 4.