Make it into slope-intercept form

Joseph will have a room with the larger area than his brother.

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

The space enclosed by the boundary of a plane figure is called its area.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

Area is measured in square units like cm² and m².

Given that, Joseph's bedroom is 7 feet long and 8 feet wide. His brother's room is 10 feet long and 5 feet wide.

We need to find that whose bedroom has the larger area.

The area will be given by = length x width

So,

Joseph's room area = 7 x 8 = 56 sq ft

Brother's room area = 10 x 5 = 50 sq ft

Since, 50 < 56

Hence, Joseph will have a room with the larger area than his brother.

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Answer:

5, 8, 3, 10 lbs.

Step-by-step explanation:

We can solve this using a system of equations! We will call pumpkins \(a, b, c, d\).

Our equations are thus:

\(a + b + c + d = 26\)

\(a = 3c - 4\)

\(d = 2a\)

\(b = c + 5\)

So now we just need to solve this system of equations.

We can start by solving for the value of pumpkin \(c\) and go from there. So first we substitute some equations around.

First we write out pumpkin \(d\) in terms of \(a\).

\(d = 2a = 2(3c - 4) = 6c - 8\)

And now we put the three equations into the first equation:

\(a + b + c + d = 26\\(3c-4)+(c+5)+(c)+(6c-8)=26\)

Then we simplify to get:

\(11 c - 7 = 26\)

\(11c = 33\\c = 3\)

So we know pumpkin \(c\) weighs 3 pounds.

Then we use the equations from before to get the value of the other pumpkins:

\(a = 3c-4 = (3*3)-4=9-4=5\\d = 2a = 2*5=10\\b = c + 5 = 3 + 5 = 8\)

And we can check our results by putting into first equation:

\(5+8+3+10=26\)

So it works out!

Thus our pumpkins weigh 5, 8, 3, 10 lbs each.

Answer:

"Clustering sampling" is the correct answer.

Step-by-step explanation:

The value of x in the equation x^x = 4^(x + 16) is 16

From the question, we have the following parameters that can be used in our computation:

x^x = 4^(x + 16)

Take the logarithm of both sides

So, we have

xlog(x) = (x + 16)log(4)

At this point, we make use of a graphing calculator

From the calculator, we have

x = 16

Hence, the solution is x = 16

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The angles marked x in each of the polygons are 128° and 82° respectively.

Concave polygons are closed two dimensional figures whose at least one of the interior angle is more than 180 degrees.

The given polygons are named as ABCDEFGH and PQRSTU as shown below.

1) An interior angle and a corresponding exterior angles are supplementary.

Interior angle ∠B = 180° - 42° = 138°

Similarly,

Interior angle, ∠E = 180° - 34° = 146°

Also, angle around a point = 360°

Interior angle at G = 360° - 141° = 219°

Sum of the angles of a polygon = (n - 2) 180°, where n is the number of sides.

Here, number of sides, n = 8

x + 138° + 107° + 145° + 146° + 126° + 219° + 71° = (8 - 2) 180°

x + 952° = 1080

x = 1080 - 952

x = 128°

2) The dotted line implies that the shape is symmetrical.

∠Q = ∠U and ∠R = ∠T

∠Q = ∠U = 34°

Exterior angle at T = 87°

Interior angle at T = 360° - 87° = 273°

So ∠R = ∠T = 273°

Again number of sides, n = 6

x + 34 + 273 + 24 + 273 + 34 = (6 - 2) 180

x + 638 = 720

x = 720 - 638 = 82°

Hence the angle are 128° and 82°.

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Answer:

51 cents for 17 inches of wire

Step-by-step explanation:

22 = 66

17 = x

22x = 66 * 17

22x = 1122

x = 51 cents

or

22 inches costs 66 cents

1 inch costs 3  cents (66 / 22 = 3  cents)

17 inches costs 51  cents (17 * 3 = 51 cents)

Answer: short answer

Just checked it’s False

Hope this helps :))

Step-by-step explanation:

Answer:

B. False

Step-by-step explanation:

A P E X

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find}}} : \)

\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)

\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)

⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)

⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)

⤑ \( \sf{ \sqrt{100 - 64}} \)

⤑ \( \sf{ \sqrt{36}} \)

⤑ \( \boxed{ \sf{6\: units}}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer: 256

Step-by-step explanation:

Answer:

256cm² is the correct answer

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

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To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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Answer:

No,

12.8 = 12.800

Obviously, 12.800 < 12.815.

\( \infty \infty \)

Answer:

\(12.8 < 12.815 \: \\ with \: a \:range \: of \: 0.015\)

Answer: hello your question is incomplete attached below is the missing codes

Answer : It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement was not written in the main function

Step-by-step explanation:

It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement  should be moved to the Main

The correction  is below

{

   double* p = new double;

   hypotenuse(1.5, 2.0, p);

  cout << "The hypotenuse is " << *p << endl;

}

Solution of the inequality x/5 + 2 ≤ 6 is x ≤ 20, so x = 15 is a solution.

Correct option is C.

An inequality is a mathematical expression in which both sides are not equal. In an inequality, unlike an equation, two values ​​are compared. The equal sign between two numbers is replaced by a less than (or less than or equal to), greater than (or greater than or equal to) sign, or not equal to.

Given inequality

x/5 + 2 ≤ 6

taking LCM on left side

(x + 10)/5 ≤ 6

Multiplying by 5 on both sides

x + 10 ≤ 30

Subtracting 10 from both sides

x ≤ 30 - 10

x ≤ 20

x = 37 ; 37 > 20, it is not solution of inequality

x = 49 ; 49 > 20, it is not solution of inequality

x = 15 ; 15 < 20, it is a solution of inequality

x = 21 ; 21 > 20, it is not solution of inequality

Hence, x = 15, is a solution of inequality x∕5 + 2 ≤ 6.

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The solution to the equation -2(x+3) = -12 is x = 3

The equation of the function is given as:

-2(x+3) -12

Rewrite the equation properly as:

-2(x+3) = -12

Divide both sides of the equation by -2

x + 3 = 6

Subtract 3 from both sides of the equation

x = 3

This means that the solution to the equation -2(x+3) = -12 is x = 3

Next, we plot the graph of the equations y = -2(x+3) and y = -12

See attachment or the graph of the equation

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The solutions to the equations are marked and matched

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

4 + x = -8x - 5

Adding 8x on both sides , we get

9x + 4 = -5

Subtracting 4 on both sides , we get

9x = -9

Divide by 9 on both sides , we get

x = -1

b)

2 ( 5x + 2 ) = 10x - 4

On simplifying the equation , we get

10x + 4 = 10x - 4

Subtracting 10x on both sides , we get

4 ≠ 4

So , it has no solution

c)

7 + 2x = 2x - 7

Subtracting 2x on both sides , we get

7 ≠ -7

So , it has no solution

d)

-3x + 3 = 3 ( 1 - x )

-3x + 3 = 3 - 3x

x = all real numbers

Hence , the equations are solved

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Answer:

A. c is less than or equal to -11/5

Step-by-step explanation:

hope this helps :)

Answer:

15 and 26

Step-by-step explanation:

Answer:

Rita is 17 years old and Cheryl is 7

Hope this Helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

This number is not only larger, but also longer in digits than 8.5.

(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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Answer:

The worth of the bond will be $5000 in 6 month

Step-by-step explanation:

Answer:

$5000 in 6 months

Step-by-step explanation:

The combination of transformation that results in the image WXYZ from the pre-image QRST are:

In mathematics, rotation is a notion that originated in geometry. Any rotation is a movement of a specific space that retains at least one point. It can, for example, explain the motion of a rigid body around a fixed point.

A translation is a geometric transformation in Euclidean geometry that moves every point in a figure, shape, or space by the same distance in the same direction. A translation may alternatively be understood as the addition of a constant vector to each point or as altering the coordinate system's origin.

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Answer: 15 Dogs

Step-by-step explanation:

1.) Set up a ratio!

6 Dogs =    ?

4 Hours    10 Hours

2.) Cross Multiply

6x10=60

60/4= 15

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

the percent change is 80%

Step-by-step explanation:

5 is 20% of 25 then that means that the percent change is 80%

The left side of the equation is (x + 6) + x. The sum of these two quantities should be equal to the total width of the wall, which is 10 feet.

To determine how many feet should be on each side of the painting to center it on a 10-foot wide wall, we can set up an equation. Let's denote the number of feet on each side of the painting as x.

The total width of the wall is 10 feet, and the painting is 6 feet wide. Since we want the painting to be centered, we need an equal amount of space on each side. So, we can subtract the width of the painting from the total width of the wall and divide it by 2:

(x + 6) + x = 10.

In this equation, (x + 6) represents the width of the painting and the additional x represents the space on the other side of the painting.

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