URGENT PLEASE!
Find the values of x, y, and z.

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

From the graph, we see that the common region is a right angled triangle with

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

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Based on the numbers that Joe selected, the people selected were D) Alan, Eugene, Martin, Sam.

The 17th person was selected and if we assigned numbers from 1 to 20 to the alphabetized list, we would find that number 17 is Sam.

The 5th person is Eugene and the 1st person is Alan. The 12th person is Nathan.

In conclusion, option D is correct.

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x represents the number of tickets of level 1 and y represents the number of tickets of level 2 in the system given that there are 10,000 seats, level 1 tickets are $50 each, and level 2 tickets are $150 each and equation representing the situation:x + y = 10,000, 50x + 150y = 75,000. This can be obtained by understanding the question and observing the equations.

Given that total number of seats is 10,000 and there are two levels pricing.

Thus by observing the equation, x + y = 10,000,

10,000 is the sum of 2 variable which obviously will be the number of tickets in level 1 and number of tickets in level 2.

Since there are two level pricing,

50x + 150y = 75,000 represent the addition of total cost of tickets of level 1 and 2.

Hence x represents the number of tickets of level 1 and y represents the number of tickets of level 2 in the system given that there are 10,000 seats, level 1 tickets are $50 each, and level 2 tickets are $150 each and equation representing the situation:x + y = 10,000, 50x + 150y = 75,000.

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Answer:

-2.5

Step-by-step explanation:

Answer:

-5/2 or -2.5

you can type it in a calculator

Using proportions, it is found that you have to drink 9 beers to be equally full.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Your drink is 1/3 less filling, hence you have to drink 3 times the amount I drink to be equally full. I drink 3 beers, hence the number you drink is given as follows:

N = 3 x 3 = 9 beers.

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Colorado and Boston have 263 and 219 days of sunshine respectively.

Let the number of days of sunshine in Colorado is x and the number of days of sunshine in Boston is y.

Total number of days of sunshine=482

Also, the number of days of sunshine in Colorado is 1.2 times the number of days of sunshine in Boston.

So, the equation is formed as follows:

x+y=482  -(1)

The other equation is formed as:

x=1.2y  -(2)

Substitute the value x from equation (2) in (1),

1.2y+y=482

2.2y=482

y=482/2.2

y=219

Substitute the value of y in equation (1),

x+219=482

x=482-219

x=263

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Answer:

578 sq ft

Step-by-step explanation:

he length of a rectangular garden is twice its width and its area is 578 square feet.

Answer:

Step-by-step explanation:

First bullet is called Perfect Square Trinomial (PST), the first and last is a perfect square and the middle is twice the product of the squared first and last term.  To factor, just copy the middle sign and square the first and last term.

---

2nd bullet is also a PST with a value on a. Likewise you just need to square the first and last term. Then, copy the middle sign.

--

3rd bullet is a trinomial. To get the factor, get the prime factor of the value of a. Then, find the factors of 8 that when add up results to the value of b.

-

4th bullet is a special case. First get the square root of the first and last term, and copy the sign, Then, copy the factors and change it to the opposite sign.

Answer:

24

Step-by-step explanation:

If x were to be 2, then we need to substitute the 2 in for x

So, it would be 6(2)^2

2 times 2 is 4 and 4 times 6 is 24

Hope this helped! :)

Answer:

60 or 60:1 (Depending on the answer choices)

Step-by-step explanation:

160 feet = 1920 inches (160 * 12)

[tex]\frac{1920}{32} = \frac{60}{1}[/tex]

The scale factor required will be 1:60 or 60:1 (actual:movie or movie:actual).

The scale factor is the simplest ratio between the actual and the model's size of the same object.

In the question, we are informed that in a movie, a child who was 32 inches tall was ''blown up'' to be 160 feet tall.

We are asked to determine the scale factor needed for the props in the movie.

To find the scale factor, we first find the size of the child in the movie in inches.

Size = 160 feet = 160*12 inches = 1920 inches.

Now, the scale factor is calculated as the ratio of the actual size to the size in the movie, that is,

Scale factor = 32:1920 = 32/1920 = 1:60.

Therefore, the scale factor required will be 1:60 or 60:1 (actual:movie or movie:actual).

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Effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.

Therefore, the effect of multiplying the parent function f(x) = x ^ 2 by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function.

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Answer:

40%

Step-by-step explanation:

Hello and Welcome to Brainly!

Let's take this problem step-by-step:

The problem wants the final answer to be in the form ⇒ y = mx + b

Let's find both of these values first

            (x₁,y₁), (x₂,y₂) are any two points on the line

                 ⇒ let's use (-4,0) and (0,-4)

                      [tex]Slope = \frac{-4-0}{0--4} =\frac{-4}{4} =-1[/tex]

           ⇒, therefore, the y-intercept is -4

Our equation as of now: y __ -x - 4

Now let's use some points to test:

  ⇒ what way inequality should face:

       [tex]0 _._._. -(0) - 4\\0 _._._. -4\\0 \geq -4[/tex]

Therefore our equation is [tex]y\geq -x-4[/tex]

  * we use '≤' since the line is solid

        ⇒ if the line were dotted, we would use '>'

Answer: y ≥ -x - 4

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Answer:

y ≥ -x − 4.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability that there will be no customers arriving at a checkout counter in the next minute is 0.16530.

The number of customers arriving per minute at the checkout counter of a grocery store is following Poisson Distribution.

A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as [tex]P(X = x) = e^{-\lambda} \frac{\lambda^{x}}{x!}[/tex] .

In the question, we are asked to find the probability that no customer arrives at the checkout, hence we put x = 0, and the mean number of customers per minute (λ) = 1.8.

Substituting the values of x and λ in the equation, we get:

[tex]P(X = 0) = e^{-1.8} \frac{1.8^{0}}{0!}[/tex] ,

or, [tex]P(0) = e^{-1.8} = 0.16530[/tex] .

Therefore, the probability that there will be no customers arriving at a checkout counter in the next minute is 0.16530.

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Answer: f(2)=g(2)

Step-by-step explanation:

The graphs intersect at x=2.

The correct statement which is true regarding the functions on the graph is,

f (2) = g (2)

We have to given that,

Graph of functions f (x) and g (x) are shown in figure.

Now, From the graph,

At x = 2;

f (2) = 0

And, At x = 2;

g (2) = 0

Therefore, At x = 2,

f (2) = g (2) = 0

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The company cannot build  10 child bikes and 12 adult bikes No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 , Option A is the correct answer.

System of inequality represent system of inequalities that satisfies common condition.

It is given that

Each child bike requires 4 hours to build and 4 hours to test.

Each adult bike requires 6 hours to build and 4 hours to test.

Total building hours = 120

Total testing hours = 100

If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week.

6a + 4c ≤ 120

4a +4c ≤100

On solving this system of Inequality

a ≤ 10

which is less than required , and so

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Therefore Option A is the correct answer.

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Answer: tan x

Step-by-step explanation: An angle determines if a side is opposite the angle, or adjacent the angle. Since p/a is something to do with the tangent, as it is not using the hypotenuse (the longest side.) Tangent is Opposite/Adjacent, while Sine is Opposite/Hypotenuse and Cosine is Adjacent/Hypotenuse. The only thing that makes sense is tangent.

So, that leaves us with either tan y or tan x. Well, with x, the angle that x points to (which is the opposite side) is p, and the adjacent is a, so p/a must be Tangent(x) since it is Opposite/Adjacent sides.

Only if it was r/p would it be tan y, since r becomes the opposite and p becomes the adjacent.

Answer:

A' = (3, 6)

B' = (9, -3)

C' = (-12, -6)

Step-by-step explanation:

you can mulitply both the x and y coordinates of each point by the scale factor (3)

point (1, 2) becomes point (3, 6)

(3, -1) becomes (9, -3)

(-4, -2) becomes (-12, -6)

hope this helps!! have a lovely day :)

{this is why whoever wrote the problem gave that hint--you can follow through on that logic, but just remember that it has to be a scaled version of the original figure--so the ratios between points (and x/y values) must be consistent}

The length of the third piece is 0.81 m if the Jurgen cuts 5 meter-long timber beam into 3 pieces, the first piece 2.34metres second piece 1.85.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

Jurgen cuts 5 meter-long timber beam into 3 pieces, first piece 2.34metres second piece 1.85.

Let the length of the third piece is x m.

2.34 + 1.85 + x = 5

4.19 + x = 5

x =  0.81 m

Thus, the length of the third piece is 0.81 m if the Jurgen cuts 5 meter-long timber beam into 3 pieces, the first piece 2.34metres second piece 1.85.

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The correct statement is [tex](2.06 * 10^{-2})(1.88 * 10^{-1}) < \frac{7.69 * 10^{-2}}{2.3* 10^{-5}}[/tex]

The proper form of the question is added as an attachment

The expressions are given as:

[tex](2.06 * 10^{-2})(1.88 * 10^{-1})[/tex]

[tex]\frac{7.69 * 10^{-2}}{2.3* 10^{-5}}[/tex]

Evaluate both expressions

[tex](2.06 * 10^{-2})(1.88 * 10^{-1}) = 2.06 * 1.88 * 10^{-2-1}[/tex]

[tex](2.06 * 10^{-2})(1.88 * 10^{-1}) = 3.87 * 10^{-3[/tex]

[tex]\frac{7.69 * 10^{-2}}{2.3* 10^{-5}} = \frac{7.69}{1.88} * 10^{5-2[/tex]

[tex]\frac{7.69 * 10^{-2}}{2.3* 10^{-5}} = 4.09 * 10^3[/tex]

By comparing both expressions, we have:

[tex]3.87 * 10^{-3} < 4.09 * 10^3[/tex]

This means that:

[tex](2.06 * 10^{-2})(1.88 * 10^{-1}) < \frac{7.69 * 10^{-2}}{2.3* 10^{-5}}[/tex]

Hence, the correct statement is [tex](2.06 * 10^{-2})(1.88 * 10^{-1}) < \frac{7.69 * 10^{-2}}{2.3* 10^{-5}}[/tex]

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Using the given information, length of QR = 16.6 cm

The area of the trapezium is 304.5 cm²

From the question we are to calculate the length of QR and the area of trapezium PQRS

In the given diagram,

Let the midpoint of PS be T

Then, we can write that

|OP|² = |OT|² + |PT|²  (Pythagorean theorem)

|OP| = radius = 13 cm

|PT| = 1/2 × PS = 1/2 × 24 cm = 12 cm

∴ 13² = |OT|² + 12²

169 = |OT|² + 144

|OT|² = 169 -144

|OT|² = 25

|OT| = √25

|OT| = 5 cm

Also, let the midpoint of QR be U

Then, we can write that

|OQ|² = |OU|² + |QU|² (Pythagorean theorem)

|OQ| = radius = 13 cm

From the given information,

The distance of QR from O is twice the distance of PS from O

∴ |OU| = 2 × |OT|= 2 × 5 cm = 10cm

Thus,

13² = ||² + 12²

169 = 10² + |QU|²

|QU|² = 169 -100

|QU|² = 69

|QU| = √69

|QU| = 8.3 cm

Now,

Length of QR = 2 × |QU| = 2 × 8.3 cm

Length of QR = 16.6 cm

b)

Area of the trapezium = 1/2(|QR| + |PS|) × |TU|

Area of the trapezium = 1/2(16.6 + 24) × 15

NOTE: |TU| = |OT| + |OU|

Area of the trapezium = 1/2(40.6) × 15

Area of the trapezium = 20.3 × 15

Area of the trapezium = 304.5 cm²

Hence, the area of the trapezium is 304.5 cm²

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The function represented by f(x) = (1/2)(3)ˣ is an exponential growth

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.

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The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

If b > 1, it is an exponential growth but if b < 1, it is an exponential decay.

Given the function:

f(x) = (1/2)(3)ˣ

since 3 > 1, it is an exponential growth.

The function represented by f(x) = (1/2)(3)ˣ is an exponential growth

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It would be take upto 999 revolutions.

Let try to solve it,

Let n represent number of revolutions.

We are asked to find the number of revolutions it will take for a car wheel of diameter 30 in. to travel a distance of one mile.

1 mile = 63360 inches.

We will use circumference of circle formula to solve our given problem.

Circumference = pi*d , where, D represents diameter of circle.

Now, we will set the product of n and circumference of circle equal to 63360 inches as:

pi*22*n= 63360

n= 63360*7/ 22*22

n= 443520/444

n= 998.91

Therefore It would be take upto 999 revolutions.

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Answer:

C

Step-by-step explanation:

please mark brainliest

Answer:

the 3rd answer option

Step-by-step explanation:

why ?

similar to the other questions.

we know the total number of coins, which is a sum of quarters and dimes. nothing else is in there.

so,

16 = q + d

and each type of coin has a defined value : a quarter is $0.25, a fine is $0.10.

and so, when you add up the value of all quarters and all dimes you get $3.10.

If the radius of the smaller gear is 1.5 inches and the radius of the large gear is 4.5 inches then the bicycles can travel a distance of 62.83 inches.

Given radius of the small gear=1.5 inches and radius of the larger gear=4.5 inches.

Number of rotation of the small gear for each rotation of the larger gear=4.5/1.5=3

Distance which the bicycle can travel=3*2πr.

=3*2*π*10

=60π inches.

Difference in distance travelled=60π inches-40π inches.

=20π inches

put π=3.14

=20*3.14

=62.83 inches.

Hence the distance that the bicycle travels is 62.83 inches if the radius of smaller gear is 1.5 inches and radius of the larger gear is 4.5 inches.

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Question is incomplete as it should includes:

Description about the question that person is travelling through bicycle. That's why radius of gears has been given.

The number of dimes is 13.

The system of equation for the situation is as follows;

x + y = 24

0.1x + 0.05y = 1.85

The coins are 24.

Therefore, they are all dimes and nickel.

Total value of the coins is $1.85.

Hence, let

x = number of dimes

y = number of nickels

Therefore,

x + y = 24

0.1x + 0.05y = 1.85

0.1x + 0.1y = 2.4

0.1x + 0.05y = 1.85

0.05y = 0.55

y = 0.55 / 0.05

y = 11

x = 24 - 11

x = 13

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