Find the slope and the y-intercept of the graph of y=4x−5
.

Answer:

(x + 5)(3x + 5)

Step-by-step explanation:

(x - 5)(x + 8) + (x + 5)(2x - 3) ← factor out (x + 5) from each term

= (x + 5)(x + 8 + 2x - 3)

= (x + 5)(3x + 5)

We want to rewrite an expression as a product between two factors.

The expression (x+5)(x+8) + (x+5)(2x - 3) can be written as the product of (x + 5) and (3x + 5)

(x+5)(x+8) + (x+5)(2x - 3) = (x + 5)*(3x + 5)

To get that expression, we need to remember the distributive property of the product:

A*(C + B) = A*C + A*B

Here we start with:

(x+5)(x+8) + (x+5)(2x - 3)

Note that the factor (x + 5) appears in both terms.

Then we can use it as a common factor and write:

(x+5)(x+8) + (x+5)(2x - 3) = (x + 5)*( (x + 8) + (2x - 3))

                                          = (x + 5)*(x + 8 + 2x - 3)

                                          = (x + 5)*(3x + 5)

Then we have:

(x+5)(x+8) + (x+5)(2x - 3) = (x + 5)*(3x + 5)

So the expression (x+5)(x+8) + (x+5)(2x - 3) can be written as the product of (x + 5) and (3x + 5)

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Answer:

The answer is A

Step-by-step explanation:

Answer:

The equation to represent the relationship between the total cost , c, and the number of songs, s, purchased can be expressed as:

c = 10/8 * s

This equation assumes that each song is the same price and that the cost to purchase 8 songs is $10

Step-by-step explanation:

The point which is a solution to the equation 2x - 7y = 7 as required to be determined is; (0, -1).

As evident from the task content; the point which is a solution to the given equation is to be determined.

For a given equation; the y-intercept represents a solution to the equation.

On this note, if x = 0; therefore, we have that;

2 (0) - 7y = 7

y = 7 / -7

y = -1.

Ultimately, the point which is a solution to the equation is; (0, -1).

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The greatest possible range for the set of integers is 16.

Let's analyze the information given step by step to find the greatest possible range for the set of integers.

The mean of a set of seven positive integers is 7.

The mean is calculated by summing up all the values and dividing by the number of values.

The sum of the seven integers is 7 × 7 = 49.

The median of the set is 8.

The median is the middle value when the set is arranged in ascending order.

Since the set has an odd number of elements (seven), the fourth value must be 8.

The distinct mode of the set is 9.

The mode is the value that appears most frequently.

Since the mode is distinct, it means that no other value appears more than once.

Only one value can be equal to 9.

Now, let's consider the possible scenarios to maximize the range of the set while satisfying the given conditions:

Since the mode is 9, the maximum value in the set must be 9.

To maximize the range, we want the minimum values to be as small as possible.

To achieve this, we can set the smallest three values as 1, 2, and 3.

This ensures that the median value (8) is still in the middle.

Now, we have the following set: {1, 2, 3, 8, _, _, 9}

We know that the sum of the values is 49, and we already have the values 1, 2, 3, 8, and 9.

So, the sum of the remaining two values must be 49 - (1 + 2 + 3 + 8 + 9) = 26.

To maximize the range, we want the two remaining values to be as large as possible.

We can set them as 9 and 17.

The final set becomes: {1, 2, 3, 8, 9, 17, 9}

The greatest possible range is then obtained by subtracting the smallest value (1) from the largest value (17): 17 - 1 = 16.

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Answer:

yes

Step-by-step explanation:

you did it right

Answer: 18

Step-by-step explanation:

Step-by-step explanation: The ratio of boys to girls in mr johnson's club: 4:12 =1:3

This ratio is same as the ratio of boys to girls inms greenesclub, 1:3

1:3 is same as 6:18

So there are 18 girls in ms greene club

is there any barinliest for me

Answer:

7+2+5

7+7

7+7=14

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The angle which is coterminal with the angle 125 degree when drawn in standard position is -235 degrees. Option A is correct.

The terminal side of an angle is the rotated side of the initial side around a point to form an angle. This rotation can be clockwise or counter clock wise.

The angle given in the problem is,

θ=125°

The angle which is coterminal of this angle is,

θ=125°-360°

θ=-235°

Thus, the angle which is coterminal with the angle 125 degree when drawn in standard position is -235 degrees. Option A is correct.

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5 because of slope equation

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Calling the attention of the government towards reforms, economy, social welfare and so on is the collective responsibility of the citizens. Hence, it is the responsibility of adults, classed as those aged 18 and above.

Therefore, it is the collective responsibility of the n citizens to point out the flaws in an administration.

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The bearing of point A from point B is 130°.

To determine the bearing of point A from point B, we need to find the angle formed by the line connecting A to B with the reference direction, typically north.

Given that Steve drives from checkpoint A to checkpoint B on a bearing of 50°, we can find the bearing of A from B by subtracting 50° from 180° (since the sum of the interior angles of a triangle is 180°). This will give us the bearing from B to A.

180° - 50° = 130°

Therefore, the bearing of point A from point B is 130°.

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Answer:

C and D

Step-by-step explanation:

an input gives one output

Her total sales for this week is $5625

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

Commission = 8% of total sales

Also, we have

Commission = $450

Substitute the known values in the above equation, so, we have the following representation

8% of total sales = 450

So, we have

Total sales = 450/0.08

Evaluate

Total sales = 5625

Hence, the total sales is $5625

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Answer:

x=107/2, y=-40. (107/2, -40).

Step-by-step explanation:

y=-31-9=-40

2x+3(-40)=-13

2x-120=-13

2x=-13+120

2x=107

x=107/2

Answer: \(\frac{1}{5} ~~~~~~~~~~ \frac{9}{5}\)

Step-by-step explanation:

There are 5 equal parts.

The length of each part is

\(\frac{1}{5}\) × \(9\) \(= \frac{9}{5}\) Cm

The triple integral in cylindrical coordinates that gives the volume of the solid bounded below by the paraboloid z = x² + y² - 1 and above by the sphere x² + y² + 2² = 7 is ∭(ρ dz dρ dθ) over the appropriate region in cylindrical coordinates.

To find the volume of the solid, we need to integrate the density function ρ with respect to the appropriate variables over the region bounded by the given surfaces.

In this case, we are using cylindrical coordinates, where ρ represents the distance from the z-axis, θ represents the azimuthal angle, and z represents the height.

The region of integration is determined by the intersection of the paraboloid z = x² + y² - 1 and the sphere x² + y² + 2² = 7.

By setting these two equations equal to each other and solving for ρ, we can find the limits for ρ.

The limits for θ are typically from 0 to 2π, representing a full revolution around the z-axis.

The limits for z depend on the shape of the region between the two surfaces.

In summary, the triple integral ∭(ρ dz dρ dθ) over the appropriate region in cylindrical coordinates gives the volume of the solid bounded below by the paraboloid z = x² + y² - 1 and above by the sphere x² + y² + 2² = 7.

By setting up the integral with the appropriate limits for ρ, θ, and z, we can calculate the volume of the solid in cylindrical coordinates.

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The equation 9(4x + 2) = 7(5x - 8) + x has no solutions.

The equation 9(4x + 2) = 7(5x - 8) + x can be simplified to 36x + 18 = 35x - 56 + x.
To solve this equation, we need to combine like terms.

We start by subtracting 35x from both sides to get:
36x + 18 - 35x = -56 + x.
Simplifying further, we have:
x + 18 = -56 + x.
Now, we subtract x from both sides to eliminate it from one side of the equation:
x + 18 - x = -56 + x - x.
Simplifying, we get:
18 = -56.
Now, we see that this equation leads to a contradiction.

The left side of the equation is a constant value of 18, while the right side is a constant value of -56.

Since these two values are not equal, there are no values of x that satisfy the equation.
Therefore, the equation 9(4x + 2) = 7(5x - 8) + x has no solutions.

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Answer:

$1673.25

Step-by-step explanation:

si year 1 = $1500 * 0.0385 =57.75       si yr 3 =57.75*3 = $173.25    return total = 1500+ 173.25 = $1673.25

Answer:

100

Step-by-step explanation:

6 seconds to select + 14 seconds to complete check out

to complete transaction order of 5 products equal 100 second

The solution to the differential equation y' = 8te^(-y) with initial condition y(0) = 1 is:

y = ln(4t^2 + e)

To solve this differential equation, we can use the separation of variables by writing it in the form:

dy/dt = 8te^(-y)

We can then separate the variables and integrate both sides:

∫ e^y dy = ∫ 8t dt

Using the substitution u = y and du = dy, and integrating both sides, we get:

e^y = 4t^2 + C

where C is the constant of integration.

Now, we can solve for y by taking the natural logarithm of both sides:

y = ln(4t^2 + C)

To find the value of C, we can use the initial condition y(0) = 1:

y(0) = ln(4(0)^2 + C) = ln(C) = 1

Solving for C, we get:

C = e

The solution to the differential equation is:

y = ln(4t^2 + e)

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The range of feasible values for the multiple coefficients of correlation is from -1 to 1.

The multiple coefficients of correlation, also known as the multiple R or R-squared, measures the strength and direction of the linear relationship between a dependent variable and multiple independent variables in a regression model. It quantifies the proportion of the variance in the dependent variable that is explained by the independent variables.

The multiple coefficients of correlation can take values between -1 and 1.

A value of 1 indicates a perfect positive linear relationship, meaning that all the data points fall exactly on a straight line with a positive slope.

A value of -1 indicates a perfect negative linear relationship, meaning that all the data points fall exactly on a straight line with a negative slope.

A value of 0 indicates no linear relationship between the variables.

Values between -1 and 1 indicate varying degrees of linear relationship, with values closer to -1 or 1 indicating a stronger relationship. The sign of the multiple coefficients of correlation indicates the direction of the relationship (positive or negative), while the absolute value represents the strength.

The range from -1 to 1 ensures that the multiple coefficients of correlation remain bounded and interpretable as a measure of linear relationship strength.

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The blanks in each statement about the line segment should be completed as shown below.

Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:

8x + 11 = 12x - 1

Solve for x

We now want to solve for x.

−4x+11=−1

−4x = -12

x= 3

Solve for TU, UV, and TV

This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.

TU=8x+11 We know that x=3 so let’s substitute that in.

TU=8(3)+11

TU= 35

We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.

UV=12x−1 We know that x=3 so let’s substitute that in.

UV=12(3)−1

UV= 35

Based on the segment addition postulate, we have:

TU+UV=TV

35+35=TV

TV= 70

Find the detailed calculations below;

TU = UV

8x + 11 = 12x - 1

8x + 11 - 11 = 12x - 1 - 11

8x = 12x - 12

8x - 12x = 12x - 12 - 12x

-4x = -12

x = 3

By using the substitution method to substitute the value of x into the expression for TU, we have:

TU = 8x + 11

TU = 8(3) + 11

TU = 24 + 11

TU = 35

By applying the transitive property of equality, we have:

UV = TU and TU = 15, then UV = 35

By applying the segment addition postulate, we have:

TV = TU + UV

TV = 35 + 35

TV = 70

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Answer:

The answer is most likely B..

Step-by-step explanation:

I do not know BUT I WANT TO KNOW

Answer:

B

Step-by-step explanation:

Just did the test

Hope I could help :)

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

The physical education students are required to run a mile, and if Brandon ran a mile in 10 minutes and Tori took 9 minutes, Brandon will need to perform 6 more burpees than Tori.

By assigning pupils a set amount of burpees based on their time, the coaches decide to motivate the students to run as quickly as they can.

here is,

(i) when t< 6 minutes , students have to do 2 burpees ;

(ii) when 6 ≤ t < 8 , the students have to do 6 burpees ;

(iii) when 8≤t<10 , students have to do 12 burpees ;  and

(iv) when t ≥ 10 , they have to do 18 burpees .

Tori ran a mile in 9 minutes.

this situation falls under criteria (iii), which means Tori must perform 12 burpees.

Brandon ran a mile in 10 minutes.

This instance falls under the (iv) category, so Brandon must perform 18 burpees.

Therefore, the difference in burpees is equal to 18 – 12.

= six burpees

Brandon would therefore need to perform 6 more burpees than Tori.

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