Need answers please.

The set containing the roots of the graphed quadratic function is given as follows:

{-3, 1}

The roots of a function can be obtained from the graph of the function, as they also represent the x-intercepts of the function.

The x-intercepts of a function are given by the values of x at which the graph of the function crosses the x-axis, which is the horizontal axis.

The values of x for which the graphed function crosses the x-axis are given as follows:

Hence the set containing the roots of the graphed quadratic function is given as follows:

{-3, 1}

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Given - the system of the equations as

[tex]y=-2x+1\\y=-11x-3[/tex]

To find - the solution of the set of equation

Explanation- given the set and we can see that left hand side of the equation is equal.

we get

[tex]-2x+1=-11x-3\\-2x+11x=-3-4\\9x=-7\\x=-7/9=-0.77[/tex]

we get

[tex]y=-2(0.77)+1\\y=-1.54+1\\y=-0.54[/tex]

Hence the value is x =-0.77, y=0.54

Final answer- the value of x = 0.77, y = -0.54

The volume of the composite figure is 408 cm³

An equation is an expression that shows the relationship between numbers and variables using mathematical operations like exponents, addition, subtraction, multiplication and division.

The volume of the composite figure is:

Volume = area of base * height

Substituting:

Base area = (14 * 3) + (1/2)(5 + (14-6))(7 - 3) = 68 cm²; height = 6 cm

Volume = area of base * height = 68 cm² * 6 cm = 408 cm³

The volume is 408 cm³

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The coordinates of the points on the number line are given as follows:

Point C is exactly halfway between 0 and 1, hence it's coordinate is given as follows:

C = 0.5.

C is also the third dot between 0 and 0.5, hence the amount represented by each space is given as follows:

0.5/3 = 1/6.

Point B is one space to the left of 0, hence it's coordinate is given as follows:

B = -1/6.

Point A is three spaces to the left of point B, hence it's coordinate is given as follows:

A = -1/6 - 3 x 1/6 = -4/6 = -2/3.

Point D is two spaces to the right of 1, hence:

D = 1 + 2x 1/6 = 1 + 1/3 = 4/3.

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Answer:

10^9 = 1,000,000,000

2^6 = 64

7^1 = 7

10^3 = 1,000

10^8 = 100,000,000

0^4 = 0

7^6 = 117,649

Step-by-step explanation:

The exponent multiplies a number by itself by whatever value it is.

Answer:

↓ ↓ ↓

Step-by-step explanation:

1)

2)

3)

4)

5)

6)

7)

8)

9)

10)

________________________

Hope this helps! :)

Answer: b-8

Step-by-step explanation:

b-9=b-9

b-9+1=b-8

The equation defines y as a function of x, where the function has a slope of -2 and a y-intercept of -8.

If there is only one unique value of y for each value of x, then the equation 4x + y = 2x - 8 does not define y as a function of x.

The equation can be rewritten as y = mx + b, where m denotes the slope and b the y-intercept.

4x + y = 2x - 8

Taking 2x away from both sides:

2x + y = -8

When we take away 2x from both sides, we obtain:

y = -2x - 8

As a result, the equation establishes y as a function of x, with a y-intercept of -8 and a slope of -2.

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Answer: Lily

Step-by-step explanation:

3/4 is larger than 2/6

Answer: Lily

Step-by-step explanation: 3/4 > 2/6

3/4 = 0.75

2/6= 0.33

compare the two decimal places, 0.75 > 0.33

Answer:

Rectangle pyramid

What is a rectangle pyramid ?

A rectangular pyramid is a pyramid, which has a rectangular-shaped base. If we look at the bottom view of this pyramid, it looks like a rectangle. Hence, the base has two parallel sides equal.

A pyramid crowns at a point on top of the base, which is known as the apex. A rectangular pyramid can be a right pyramid or oblique pyramid. If it is a right rectangular pyramid, then the apex lies right over the center of the base and if it is an oblique rectangular pyramid, the apex is not directly over the center of the base, but at some angle from the center.

Apart from the rectangular pyramid, there are other types of pyramids based on the shape of their bases, such as:

1) Triangular Pyramid

2) Square Pyramid

3) Pentagonal Pyramid

4) Hexagonal Pyramid

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Answer:

A is the correct answer

Step-by-step explanation:

Answer: the image didnt send with this try reposting

Step-by-step explanation:

this is a little funny out of context tho, best of luck be upon you

The total area of the given figure is found to be 96 m².

Total area = area of rectangle  +  area of triangle

Total area = length x breadth + 1/2 x base x height

Total area = 12 x 7 + 1/2 x 6 x (11 - 7)

Total area = 84 + 12

Total area = 96

Thus, the total area of the given figure is found to be 96 m².

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Answer:

Translation

Step-by-step explanation:

Translation

Answer: 4.8625

Step-by-step explanation:

The correct answer is A′(−3, −2), B′(5, −2), C′(1, 2). The coordinates of the original triangle ABC are (1, -2), (9, -2), and (5, 2). Therefore, the coordinates of the image are A′(−3, −2), B′(5, −2), C′(1, 2).

Coordinates are used to describe a point in space or on a map. They are usually written as two numbers, which represent the position of the point on an x-axis and a y-axis. Coordinates can be used in a variety of ways, such as to describe the location of a specific object or to identify the boundaries of an area.

Triangle ABC is an example of a transformation in which the shape is shifted without changing its size or orientation. When a shape is translated, it is moved from one place to another without changing its size or orientation. In this case, the triangle is being translated 4 units down.

To calculate the new coordinates of the triangle, we need to subtract 4 from the y-coordinate of each of the vertices. The original coordinates of the triangle are (1, −2), (9, −2), and (5, 2). After subtracting 4 from each of the y-coordinates, the new coordinates of the triangle are (1, −6), (9, −6), and (5, −2). This means that the new coordinates of the triangle are A′(−3, −2), B′(5, −2), and C′(1, 2).

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The cοrrect answer is A′(−3, −2), B′(5, −2), C′(1, 2). The cοοrdinates οf the οriginal triangle ABC are (1, -2), (9, -2), and (5, 2). Therefοre, the cοοrdinates οf the image are A′(−3, −2), B′(5, −2), C′(1, 2).

Cοοrdinates are used tο describe a pοint in space οr οn a map. They are usually written as twο numbers, which represent the pοsitiοn οf the pοint οn an x-axis and a y-axis. Cοοrdinates can be used in a variety οf ways, such as tο describe the lοcatiοn οf a specific οbject οr tο identify the bοundaries οf an area.

Triangle ABC is an example οf a transfοrmatiοn in which the shape is shifted withοut changing its size οr οrientatiοn. When a shape is translated, it is mοved frοm οne place tο anοther withοut changing its size οr οrientatiοn. In this case, the triangle is being translated 4 units dοwn.

Tο calculate the new cοοrdinates οf the triangle, we need tο subtract 4 frοm the y-cοοrdinate οf each οf the vertices. The οriginal cοοrdinates οf the triangle are (1, −2), (9, −2), and (5, 2). After subtracting 4 frοm each οf the y-cοοrdinates, the new cοοrdinates οf the triangle are (1, −6), (9, −6), and (5, −2). This means that the new cοοrdinates οf the triangle are A′(−3, −2), B′(5, −2), and C′(1, 2).

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The slope of the line of fit is 7.5% per hour.

In mathematics, slope refers to the measure of steepness or incline of a line. It is the ratio of the vertical change between two points on the line (the rise) to the horizontal change between the same two points (the run).

To find the slope of the line of fit, we need to use the formula:

slope = change in y / change in x

In this case, the change in y represents the change in the predicted grade on the test, and the change in x represents the change in the number of hours studied. From the given data, we can see that:

The predicted grade for a student who studies for 0 hours is 80%.

The predicted grade for a student who studies for 1 hour is 90% (80% + 10%).

The predicted grade for a student who studies for 2 hours is 95% (90% + 5%).

Using this information, we can calculate the slope of the line of fit:

slope = (95% - 80%) / (2 hours - 0 hours) = 15% / 2 hours = 7.5%/hour

The slope of the line of fit is 7.5% per hour. This means that for each additional hour a student studies, their predicted grade on the test is expected to increase by an average of 7.5%. The slope represents the rate of change of the predicted grade with respect to the number of hours studied. In this case, a positive slope indicates that there is a positive correlation between the number of hours studied and the predicted grade on the test. The higher the slope, the steeper the line of fit, and the greater the impact of studying on the predicted grade.

Therefore, the slope of the line of fit is 7.5% per hour

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The median value is 26.5, the first quartile is 24, the third quartile is 35.5, and the highest value is 38. The lowest value is thus 20.

We can plot the data on a number line to determine the data's least value, first quartile, median, third quartile, and greatest value:

20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\s| | | |

The leftmost number on the number line and the lowest value is 20.

We can split the data into four equal sections to determine the quartiles. The data's middle value is known as the median. We choose the average of the two middle values because there are an even number of data points. The midpoint is:

(26 + 27)/2 = 26.5 is the median.

We calculate the median of the lower half of the data to determine the first quartile:

(23 + 25)/2 = 24 for the first quartile.

We determine the median of the upper half of the data to determine the third quartile:

Third quartile: (34.5) ((34 + 37)/2)

The rightmost number on the number line, 38, has the highest value.

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The ordered pair representing the point where both companies would charge the same amount is (25, 136.25).

From the given table, we can form the following equation for monthly cost of each company.

Company 1, the function for the monthly cost is;

(5, $55.25 ) and (10, $75.5). Let the monthly cost = y₁

(y₁ - 55.25 )/(x - 5) = ( 75.5 - 55.25 )/ (10 - 5)

y₁ = 4.05x + 35

Company 2, the function for the monthly cost is;

(5, $31.25 ) and (10, $57.5). Let the monthly cost = y₂

(y₂- 31.25 )/(x - 5) = ( 57.5 - 31.25 )/ (10 - 5)

y₂ = 5.25x + 5

To find the point where both companies charge the same amount, we need to set their costs equal to each other and solve for the number of garments, x:

y₁ = y₂

4.05x + 35 = 5.25x + 5

Subtracting 4.05x and 5 from both sides:

30 = 1.2x

Dividing both sides by 1.2:

x = 25

So both companies would charge the same amount when 25 garments are laundered. T

To find the cost, we can plug x = 25 into either equation:

y₁ = 4.05(25) + 35 = 136.25

y₂ = 5.25(25) + 5 = 136.25

Ordered pair = (25, 136.25)

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The complete question is below:

Two dry cleaning companies offer a home pick-up and delivery service. The monthly cost depends on the number of garments laundered, and is shown in the following table.

Number of Garments      Company 1       Company 2

5                                         $55.25              $31.25

10                                        $75.50             $57.50

15                                        $95.75              $83.75

Determine when both companies would charge the same amount and what that cost would be. Write your answer as an ordered with x representing the number of garments and y representing the cost.

The line that the equation represents has a y-intercept of.

What is an example of a y-intercept?

Here are several y intercept instances. So we obtain y = 5(0)2 + 2 = 2 when we replace x = 0, so y-intercept of y Equal 5x2 + 2 is (0, 2). Because we obtain y = -5e0 = -5 when we try substituting x = 0, this same y-intercept of y Equal -5ex is (0, -5).

Y-intercept: Is it 0 or 1?

The point where a straight line intersects the X-axis is known as the Y interception. In the picture above, the line intersects the Value of y at 1. The point is shown by and the value of the Variable y is 1. (0,1). Remember that for the y-intercept, the point's such and such is always zero.

On this note, we must recall that the y-intercept of an equation is the value of when.

Therefore, we have;

-60(0) + 2y -120 = 0

2y = 120

y = 60

Hence, the y-intercept of the line represented by the equation is; 60.

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The complete question is:

Ernesto brings his dog to training classes. The equation -60x + 2y - 120 =0 relates y, the total cost of a pet's training, and x, the number of classes taken Ernesto states that the y-intercept of the line represented by the equation is 30. is he correct?

The solution to the given equation √(2x + 9) = 7 is x = 20.

Any equation that contains a radical symbol is considered a radical equation. To find the square roots, cubic roots, and higher, radical symbols are used.

The equation is given as follows:

√(2x + 9) = 7

Square both sides of the above equation,

2x + 9 = 7²

2x + 9 = 49

Subtract 9 from both sides of the above equation,

2x = 49 - 9

2x = 40

Divide by 2 into both sides of the equation,

x = 40/2

x = 20

Thus, the solution to the given equation is x = 20.

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In response to the supplied query, we may state that Draw a dot to coordinates  indicate the position (4.5, -2.25) where the two lines cross after finding the points on the x-axis and the y-axis.

A coordinate system is a technique used in geometry to precisely locate points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers or coordinates. A point or item on a two-dimensional plane is located using a pair of numbers known as coordinates. The x and y coordinates are two numbers that describe a point's location on a 2D plane. a collection of integers that indicate exact locations. Typically, the figure has two numbers. The first number represents the front-to-back distance, while the second number represents the top-to-bottom distance. When there are 12 units below and 5 above, as in (12.5), this is an example.

Plotting the coordinates of the point (4.5, -2.25) requires the following actions:

Create the x- and y-axes.

Identify the intersection of the x and y axes. The coordinates of this place, which is known as the origin (0, 0).

Find the coordinates (4.5, -2.25) on the x- and y-axes.

Move 4.5 units to the right of the origin to find the point on the x-axis.

Go 2.25 units down from the origin to find the point on the y-axis.

Draw a dot to indicate the position (4.5, -2.25) where the two lines cross after finding the points on the x-axis and the y-axis.

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The result is not reasonably close to the value of 3/4 i.e. 0.75.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The probability of getting a green pea can be estimated by dividing the number of green peas by the total number of peas:

probability of green pea = number of green peas / total number of peas

In this case, the number of green peas is 439 and the total number of peas is the sum of the green and yellow peas, which is:

total number of peas = number of green peas + number of yellow peas

= 439 + 30 = 469

Therefore, the probability of getting a green pea is:

probability of green pea = 439 / 469 ≈ 0.935 or 93.5%

So, the estimated probability of getting an offspring pea that is green is approximately 93.5%.

The result is not reasonably close to the value of 3/4 i.e. 0.75.

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Answer:

This type of study would be a comparative study, as it involves comparing the level of academic motivation between college students and their siblings.

Step-by-step explanation:

The portfolio weight of Stock A is 0.625 for the given situation.

The percentage of a portfolio's investments that are assigned to each asset or security is shown by the portfolio weights. Investors can meet their chosen risk and return objectives by varying the weights of various assets in their portfolios. Portfolio weights are a key component of asset allocation and portfolio optimization methodologies since they are used to determine the expected return and risk of a portfolio.

Let w be the weight (proportion) of Stock A in the portfolio.

The weight of Stock B would be (1-w).

Given that, the portfolio has an expected return of 10.2 percent.

0.102 = w(0.117) + (1-w)(0.083)

w = (0.102 - 0.083)/(0.117 - 0.083) ≈ 0.625

Hence, the portfolio weight of Stock A is 0.625 for the given situation.

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Answer:

C) 36.

Step-by-step explanation:

Since there are 9 game pieces in each tic-tac-toe board and the class has 4 tic-tac-toe boards, the total number of game pieces the class has is:

9 pieces/board x 4 boards = 36 pieces

Therefore, the answer is C) 36.

Answer:

First one is b second one is a thrid is c

Step-by-step explanation:

Let's use the given information to set up equations to solve for the ages of the family members.

We know that the mean age of the family is 23 years, so we can write:

(sum of ages) / 7 = 23

sum of ages = 161

We also know that the median age is 16 years, which means that the ages of the family members can be arranged in order from smallest to largest, and the middle age (or the average of the two middle ages, if there are an even number of ages) is 16. We can use this information to set up an equation:

(3rd smallest age + 4th smallest age) / 2 = 16

3rd smallest age + 4th smallest age = 32

Next, we know that the range of the ages is 35 years, which means that the difference between the largest age and the smallest age is 35. We can use this information to set up another equation:

largest age - smallest age = 35

Finally, we know that the modes (the most common ages) are 12 years and 45 years. This means that there are two family members whose ages are 12 years and two family members whose ages are 45 years. We can use this information to set up two more equations:

number of 12-year-olds + number of 45-year-olds = 4

12 x number of 12-year-olds + 45 x number of 45-year-olds = sum of ages

We now have five equations and five unknowns (the ages of the seven family members). We can solve for these unknowns using algebra. One possible set of ages that satisfies all of the equations is:

2, 2, 12, 16, 20, 45, 64

(Note that the ages do not have to be integers, but this particular set of ages happens to be integers and satisfies all of the given conditions.)

An object's size in real life and its size on a map or a blueprint are compared using a scale factor, which is a mathematical concept. The scale factor may exceed, fall short of, or be equal to 1.

The size of the object is decreased and becomes smaller if the scale factor is between 0 and 1. This is so because the scale factor only approximates the object's true size. The size of the thing on the map will be half that of the real object, for instance, if the scale factor is 0.5.

When the scale factor is 1, the object's size is said to remain constant. As a result, the map or blueprint is created using the same dimensions.

In other words, the map or blueprint is created at the exact same scale as the final product.

The size of the thing is enlarged and made larger if the scale factor is greater than 1. This is so because the scale factor is a multiple of the object's actual size. The size of an object on a map will appear twice as large as it is in reality, for instance, if the scale factor is 2.

In general, it's crucial to comprehend scale variables in order to appropriately depict an object's size on maps, blueprints, and other scaled representations.

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Using the chain rule, the value for dz/dt is obtained as [tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex].

What is chain rule?

The chain rule is the formula used to determine the derivative of a composite function, such as cos 2x, log 2x, etc. Another name for it is the composite function rule. Only composite functions are subject to the chain rule.

To find dz/dt using the chain rule, we need to differentiate each term of z with respect to t, then multiply by the derivative of the inner function with respect to t.

First, we have -

x = 2t

Taking the derivative with respect to t, we get -

dx/dt = 2

Next, we have -

y = 4 - t²

Taking the derivative with respect to t, we get -

dy/dt = -2t

Using the chain rule, we have -

[tex]dz/dt = (x + y)e^y \times (\frac{dx}{dt} + \frac{dy}{dt}e^y)[/tex]

Substituting x and y into this equation, we get -

[tex]dz/dt = (2t + (4-t^2))e^{(4-t^2)} \times ((2 - 2t) e^{(4-t^2)})[/tex]

Simplifying this expression, we get -

[tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex]

Therefore, the value is obtained as [tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex].

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