© Find the equation of the line of symmetry for the equation of the graph below.
y = x2
4x
45
T =

Solving a system of equations we can see that Gavin worked 7 hours tutoring.

Let's define the variables:

x = number of hours tutoring.

y = number of hours land scaping.

We know that he worked for 10 hours and earned $137, then we can write a system of equations:

x + y = 10

14x + 13y = 137

Isolating y on the first equation we get:

y = 10 - x

Replace that in the second one to get:

14x + 13*(10 - x) = 137

14x + 130 - 13x = 137

x = 137 - 130 = 7

He worked 7 hours tutoring.

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Answer:

First: 13

Second: 21.79

Step-by-step explanation:

In the photo

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Given:

Find: Rectangular equation.

Sol:

Put the value in rectangular equation:

Answer:

6/9 miles

Step-by-step explanation:

After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

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Answer:afvStep-by-step explanation:

Answer:

Its not A!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Its not!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:3.657            hope this helps

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation: Different colours show different parts of africa and the general language spoken by individuals. From the map show, there are a lot of languages in Africa.

Answer: The answer is 50 m³.

Step-by-step explanation: We are given to find the volume of the cone cone after being dilated by a factor of one-third from a cone with volume  1350 m³.

The volume of a cone with base radius 'r' units and height 'h' units is given by

\(V=\frac{1}{3}\pi r^2h.\)

Therefore, if 'r' is the radius of the base of original cone and 'h' is the height, then we can write

\(V=\frac{1}{3}\pi r^2h=1350\)

⇒ \(\pi r^2h=4050.\)

Now, if we dilate the cone by a scale factor of , then the radius and height will become one-third of the original one.

Therefore, the volume of the dilated cone will be

\(V_d=\frac{1}{3}\pi (\frac{r}{3})^2\frac{h}{3} =\frac{1}{81}\) × \(\pi r^2h=\frac{1}{81}\) × \(4050=50\)

Thus, the volume of the resulting cone will be 50 m³.

Answer:

117

Step-by-step explanation:

angle 2 = 117 so angle 1 has to =63 because they have to equal 180 (supplementary angles)

angle 1 =63 .  angle 3 =117

angle 7 is the same measurement of angle 3

hope this makes sense

Answer:

117 degrees

Step-by-step explanation:

angle 1 and 2 are supplementary angles which are angles whose measurements add up to 180 degrees

this means angle 1 = 63 degrees

63 + 117 = 180

angle 1 and 3 are linear pair angles which means they also equal 180 degrees

angle 3 = 117 degrees

angle 3 and angle 7 are corresponding angles which means their degrees are equal to each other

angle 7 = 117 degrees

The relationship between angle 2 and 7 would be alternate exterior angles

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

so ez

Step-by-step explanation:

HI IM INDIAN AND STUDING IN 10TH GRADE U?

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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Answer:

i think u add 2.5 everytime

Step-by-step explanation:

for example start with(0, 2.5) 0n the graph then add 2.5 to 2.5 then keep adding if im wrong srry

Answer:

y=4x+3

Step-by-step explanation:

First, see where the line intercepts at the y-axis and use the y-value(which is 3). Then to find the slope(m), use the slope equation y{2}-y{1}/x{2}-x{1}.

Apply this formula to the coordinates(0,3) and (1,7):

This will then equal to

This can be simplified to:

Applying the y-intercept value 3 and the slope 4 to the equation:

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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Answer:

-25

Step-by-step explanation:

f(-12) means x = -12

so you just plug it in the equation and solve for x

\(f(x) = 3(-12)+11\\f(x) = -36+11\\f(x) = -25\)

Using Cramer's rule for first-order condition:

Using Hessian for the second-order condition, critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444) is the unique minimum of y.

(a) Using Cramer's rule for the first-order condition:

To optimize the function y, find the critical points where the gradient is equal to zero. The gradient of y is given by:

∇y = [6x₁ - x₂ - 3x₃ - 5, -x₁ + 12x₂ + 2x₃ - 4, 2x₂ + 8x₃ + 2 - 3x₁]

Setting the gradient equal to zero:

6x₁ - x₂ - 3x₃ - 5 = 0 (1)

-x₁ + 12x₂ + 2x₃ - 4 = 0 (2)

2x₂ + 8x₃ + 2 - 3x₁ = 0 (3)

Using Cramer's rule to solve this system of linear equations, the determinant of the coefficient matrix is:

|A| =

| 6 -1 -3 |

|-1 12 2 |

|-3 2 -3|

|A| = 444

The determinant of the matrix obtained by replacing the first column of A with the constants on the right-hand side of the equations is:

|A₁| =

| 5 -1 -3 |

| 0 12 2 |

| 0 2 -3|

|A₁| = -149

The determinant of the matrix obtained by replacing the second column of A with the constants is:

|A₂| =

| 6 5 -3 |

|-1 0 2 |

|-3 0 -3|

|A₂| = -138

The determinant of the matrix obtained by replacing the third column of A with the constants is:

|A₃| =

| 6 -1 5 |

|-1 12 0 |

|-3 2 2|

|A₃| = -278

Therefore, using Cramer's rule:

x₁ = |A₁|/|A| = -149/444

x₂ = |A₂|/|A| = -69/222

x₃ = |A₃|/|A| = 139/444

(b) Using the Hessian for the second-order condition:

To check whether the critical point found in part (a) is a maximum, minimum or saddle point, we need to use the Hessian matrix evaluated at the critical point. The Hessian of y is given by:

(y) =

| 6 0 -3 |

| 0 12 2 |

|-3 2 8 |

Evaluating H(y) at the critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444):

H(y) =

| 6 0 -3 |

| 0 12 2 |

|-3 2 8 |

The eigenvalues of H(y) are 2, 6, and 18, which are all positive. Therefore, H(y) is positive definite, and the critical point is a minimum.

Therefore, the critical point (x₁, x₂, x₃) = (-149/444, -69/222, 139/444) is the unique minimum of y.

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Answer:

A (top left)

Step-by-step explanation:

Assuming that the dot is multiplying the numbers, we get the function:

\(f(x) = 8^{x}\)

First, lets knock off the obviously wrong answers.

Substitute 0 into the x spot, as anything to the power of zero is one.

\(f(0) = 8^{0}=1\)

Automatically, the two answers on the right are incorrect, as y is not equal to 1 when x is 0.

Next, lets substitute 1 into the x spot, as anything to the power of one is itself.

\(f(1) = 8^{1} = 8\)

As a result, the top left graph is correct, as y is equal to 8 when x is 1, unlike the bottom left graph.

The missing percentage of the given algebraic expression when calculated is; 15.18%

We want to find;

Percent * $3.32 = $0.32 + $0.184

First of all, let us add the terms on the right side of the equation to get;

Percent * $3.32 = $0.504

Next operation is to divide both sides by 3.32 using division property of equality to get;

Percent = 0.1518 = 15.18%

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Answer:

\(y=\frac{-1}{2}x+7\)

Step-by-step explanation:

Slope intercept form: \(y=mx+b\) when \(m\) is the slope of the line and \(b\) is the y-intercept (the y-coordinate of the point the line crosses the y-axis)

1) Find the slope (\(m\))

\(m=\frac{y_2-y_1}{x_2-x_1}\) when the points are \((x_1,y_1)\) and \((x_2,y_2)\)

We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

\(m=\frac{0-7}{14-0}\\m=\frac{-7}{14}\)

Simplify the fraction

\(m=\frac{-1}{2}\)

So far, our equation looks like this:

\(y=\frac{-1}{2}x+b\)

2) Find the y-intercept (\(b\))

The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.

Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, \(b=7\).

Now, this is our final equation after plugging in \(m\) and \(b\):

\(y=\frac{-1}{2}x+7\)

I hope this helps!

The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Answer:

2.30 :) hope this helps!!!!!!! :)

Step-by-step explanation:

w = wheat     c = corn    r = rye

6w + 3c + 6r = 45.90

3w + 6c + 6r = 49.20

6w + 6c + 3r = 41.40

since you want the answer for c, manipulate then add 2 equations that will get rid of 1 variable:

if we multiply the first equation by -1 then add it to the second equation, it will eliminate the r

-6w -  3c -  6r = - 45.90

3w + 6c + 6r =   49.20

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

- 3w +3c  =      3.30    or     w - c = - 1.10

If we multiply the 3rd equation by -2 then add it to the first equation, it will eliminate the  r  again:

-12w - 12c -  6r = - 82.80

  6w + 3c + 6r =    45.90

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

- 6w - 9c         =  - 36.90   or       2w + 3c  =   12.30

now we have 2 equations and 2 variables that we can solve by substitution:

w = c - 1.10

2(c - 1.10)  + 3c = 12.30

2c - 2.20 + 3c   =   12.30

5c = 14.50

c = 2.90      

w = c - 1.10   or  1.80

3r = 41.40 - 6(1.80) - 6(2.90)

3r = 13.20    r = 4.40

I will pick the 2nd equation to check my answers :)!

3(1.80) +  6(2.90)  + 6(4.40)  = 49.20

5.40 + 17.40 + 26.40 =  49.20

As per linear equation, the price per bushel for corn is $22.8.

A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.

Given, a grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $228.

To another customer, he sold 2 of wheat, 3 of corn, and 5 of rye, for $228.

To a third customer, 3 of wheat, 5 of corn, and 2 of rye, for $228.

Let, per piece of wheat is of $x.

Per piece of corn is of $y.

Per piece of rye is of $z.

Therefore, 5x + 2y + 3z = 228 ....(1)

2x + 3y + 5z = 228 .........................(2)

3x + 5y +2z = 228 ..........................(3)

Multiplying equation(1) by '2' and equation(2) by '5' and substract, we get:

2(5x + 2y + 3z) - 5(2x + 3y + 5z) = 2(228) - 5(228)

⇒ (10x + 4y + 6z) - (10x + 15y + 25z) = - 3(228)

⇒ (- 11y - 19z) = - 684

⇒ 11y + 19z = 684 ......(4)

Multiplying equation(2) by '3' and equation(3) by '2' and substract, we get:

3(2x + 3y + 5z) - 2(3x + 5y +2z) = 3(228) - 2(228)

⇒ (6x + 9y + 15z) - (6x + 10y + 4z) = 228

⇒ - y + 11z = 228 .......(5)

Now, multiplying equation(5) by '11' and then add with equation (4), we get:

 11y + 19z + 11(- y + 11z) = 684 + 11(228)

⇒ 140z = 3192

⇒ z = 22.8

Putting the value of 'z' in equation (5) we get:

- y + 11(22.8) = 228

⇒ y = 22.8

Now, putting the values of 'y' and 'z' in equation (1), we get:

5x + 2(22.8) + 3(22.8) = 228

⇒ 5x = 114

⇒ x = 22.8

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Option 3 yielded the most money after 10 years is 171.7

Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.

Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.

After 10 years:

Option 1: 50×(1.09)¹⁰ - 30 =  88.36

Option 2: 50×(1.08)¹⁰ - 20 =  87.94

Option 3: 100×(1.07)¹⁰ - 25 =  171.71

Therefore, Option 3 yielded the most money after 10 years is 171.7

By the time you were 60 years old:

Option 1: 50×(1.09)⁶⁰ - 30 =  8,771.56

Option 2: 50×(1.08)⁶⁰ - 20 =  5,042.85

Option 3: 100×(1.07)⁶⁰ - 25 =  5,769.64

Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

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To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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x+y≥9, 5x+10y≤70 and x≥0 and y ≥ 0 are the required system of linear inequalities that shows all possible combinations of the plants Emma could purchase.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Emma is buying new herbs for her garden

Basil plants cost $5 each and mint plants cost $10 each.

She wants to buy at least 9 plants but cannot spend more than $70.

Let x represents the number of Basil plants

y represents the number of mint plants

x+y≥9

5x+10y≤70

x≥0 and y ≥ 0

Now x=9-y

5x+10y≤70

5(9-y)+10y=70

45-5y+10y=70

45+5y=70

Subtract 45 on both sides

5y=70-45

5y=25

Divide both sides by 5

y=5

x+5=9

x=4

Hence, x+y≥9, 5x+10y≤70 and x≥0 and y ≥ 0 are the required system of linear inequalities that shows all possible combinations of the plants Emma could purchase.

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Answer 5

Step-by-step explanation:

Step-by-step explanation:

the solution is impossible since 15 read at least one type of them