If given the rule y=-x + 5, what is the OUTPUT if the input is -2?

a b e  your welcome

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Answer:

Simplifying

32 + -8x = 3 + -9x

Solving

32 + -8x = 3 + -9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9x' to each side of the equation.

32 + -8x + 9x = 3 + -9x + 9x

Combine like terms: -8x + 9x = 1x

32 + 1x = 3 + -9x + 9x

Combine like terms: -9x + 9x = 0

32 + 1x = 3 + 0

32 + 1x = 3

Add '-32' to each side of the equation.

32 + -32 + 1x = 3 + -32

Combine like terms: 32 + -32 = 0

0 + 1x = 3 + -32

1x = 3 + -32

Combine like terms: 3 + -32 = -29

1x = -29

Divide each side by '1'.

x = -29

Simplifying

x = -29

Step-by-step explanation:

Answer:

29+x

Step-by-step explanation:

32-8x=3-9x. 32-8x-3+9x. 32-3-8x+9x. 29+x. I hope it helps.

Using the criteria of p < .05, the statistically significant bivariate pairs are gpa and anxiety, gpa and sleep, motivation and sleep, motivation and anxiety, and anxiety and sleep.

To find the statistically significant bivariate pairs, we need to conduct a statistical test such as a Pearson correlation coefficient test or a t-test. In this case, we are looking for the p-value to be less than 0.05, which indicates that there is a statistically significant relationship between the two variables. Let's go through each pair of variables and see if they are statistically significant.

GPA and Anxiety: When we conduct a Pearson correlation coefficient test between GPA and anxiety, we find that the p-value is less than 0.05, indicating that there is a statistically significant relationship between the two variables. Therefore, GPA and anxiety are a statistically significant bivariate pair.

GPA and Sleep: When we conduct a Pearson correlation coefficient test between GPA and sleep, we find that the p-value is less than 0.05, indicating that there is a statistically significant relationship between the two variables. Therefore, GPA and sleep are a statistically significant bivariate pair.

Motivation and Sleep: When we conduct a Pearson correlation coefficient test between motivation and sleep, we find that the p-value is less than 0.05, indicating that there is a statistically significant relationship between the two variables. Therefore, motivation and sleep are a statistically significant bivariate pair.

Motivation and Anxiety: When we conduct a Pearson correlation coefficient test between motivation and anxiety, we find that the p-value is less than 0.05, indicating that there is a statistically significant relationship between the two variables. Therefore, motivation and anxiety are a statistically significant bivariate pair.

Anxiety and Sleep: When we conduct a Pearson correlation coefficient test between anxiety and sleep, we find that the p-value is less than 0.05, indicating that there is a statistically significant relationship between the two variables. Therefore, anxiety and sleep are a statistically significant bivariate pair.

Using the criteria of p < .05, the statistically significant bivariate pairs are gpa and anxiety, gpa and sleep, motivation and sleep, motivation and anxiety, and anxiety and sleep.

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The maximal flow from node 1 to node 7 in the given network needs to be determined, along with identifying the associated minimal cut. Additionally, the associated linear-programming problem needs to be written.

To find the maximal flow from node 1 to node 7, various algorithms like the Ford-Fulkerson algorithm or the Edmonds-Karp algorithm can be used. These algorithms iteratively find augmenting paths and update the flow until no more augmenting paths exist. The maximal flow represents the maximum amount of flow that can be sent from the source (node 1) to the sink (node 7).

The associated minimal cut can be found by identifying the set of edges whose removal would disconnect the source from the sink. The minimal cut represents the minimum capacity required to disconnect the source and sink nodes.

To write the associated linear-programming problem, we need to define decision variables, objective function, and constraints that represent the flow network. The objective function is typically to maximize the flow from the source to the sink, subject to capacity constraints on the edges and flow conservation constraints at each node.

Detailed calculations and graph analysis would be required to find the specific maximal flow, associated minimal cut, and formulate the linear programming problem for the given network.

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Answer:

a. x = 3 and x = 6

Step-by-step explanation:

To find the zeros of this function, you have to look at when the function intersects the x-axis.

In this case, the parabula is intersecting the x-axis at x = 3 and x = 6. this means taht when x is equal to 3 and 6, y is equal to 0, making those x values, the zeros of the function.

Hope this helps! :)

Answer:

200 dollars

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

To calculate the percentage taken off of the price, multiply 250 by 0.2. You should get 50. Now, just subtract that from 250 to get 200.

Answer:

42 ounces

Step-by-step explanation:

3 ounces times 2 is 6 ounces each day and 6 x7 is 42.

The solutions to the original polynomial equation X(x^3-10x^2+28x-24) = 0 are x = 0, x = 2, and x = 6.

To find the solutions to the polynomial equation X(x^3-10x^2+28x-24) = 0, we can use synthetic division. Synthetic division is a method used to divide polynomials by a linear binomial of the form (x - c), where c is a constant.

Let's start by factoring the cubic polynomial x^3 - 10x^2 + 28x - 24. By inspecting the coefficients, we can determine that x = 2 is a root of the polynomial. Using synthetic division, we can divide the polynomial by (x - 2) to obtain a quadratic polynomial.

2 | 1 -10 28 -24

| 2 -16 24

|_________________________

1 -8 12 0

The result of the synthetic division is the quadratic polynomial x^2 - 8x + 12. Now we need to find the roots of this quadratic polynomial. We can either factor it or use the quadratic formula.

Factoring the quadratic equation x^2 - 8x + 12 = 0, we have:

(x - 2)(x - 6) = 0

So the solutions to the quadratic equation are x = 2 and x = 6.

Therefore, the solutions to the original polynomial equation X(x^3-10x^2+28x-24) = 0 are x = 0, x = 2, and x = 6.

Note: Synthetic division is a method used to simplify polynomial division, but it is not applicable to finding all the roots of a polynomial. In this case, we were able to identify one root (x = 2) by inspection and then proceed with synthetic division to simplify the problem.

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To find an expression for the area under the graph of f(x) = x^2 * e^x using the right endpoints as a limit, we can use the definition of the Riemann sum.

The Riemann sum with the right endpoints is given by:

A = lim(n → ∞) ∑[i=1 to n] f(xi) * Δx

where A represents the area under the curve, n is the number of subintervals, xi represents the right endpoint of each subinterval, and Δx is the width of each subinterval.

In this case, the function is f(x) = x^2 * e^x, and the interval of integration is 0 ≤ x ≤ 5.

Using the right endpoints, we can divide the interval [0, 5] into n equal subintervals of width Δx = 5/n. The right endpoints of these subintervals will be xi = i * Δx, where i ranges from 1 to n.

Thus, the expression for the area under the graph of f(x) as a limit is:

A = lim(n → ∞) ∑[i=1 to n] (xi)^2 * e^xi * Δx

This expression represents the Riemann sum as a limit and can be used to approximate the area under the curve f(x) = x^2 * e^x.

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Answer:

z = 46/13

Step-by-step explanation:

Step 1: Write equation

z + 6 ÷ 13 = 4

Step 2: Solve for z

Step 3: Check

Plug in z to verify it's a solution.

46/13 + 6/13 = 4

52/13 = 4

4 = 4

Answer:

Option C (You should be correct.)

Step-by-step explanation:

3.5 is a rational number. It has a terminating decimal.

√36 is also rational because it simplifies to an integer, and it's a perfect square. √36 = 6

37/100 is already a fraction with integers. It is rational.

√48 is not a perfect square. Therefore, it is irrational.

Hope this helps.

The Value of the printing equipment after 7 years is approximately $3,145.73.

From the given table, we can observe that the values of the printing equipment form a geometric sequence. Let's denote the first term of the sequence as a1 and the common ratio as r.

From the table, we have the following information:

a1 = 12,000

a2 = 9,600

a3 = 7,680

To find the common ratio, we can divide any term by its preceding term:

r = a2/a1 = 9,600/12,000 = 0.8

Alternatively, we can also calculate:

r = a3/a2 = 7,680/9,600 = 0.8

Now that we have the first term (a1 = 12,000) and the common ratio (r = 0.8), we can use the formula for the nth term of a geometric sequence to find the value of the printing equipment after 7 years.

The formula for the nth term (an) of a geometric sequence is:

an = a1 * r^(n-1)

Substituting the values, we have:

a7 = 12,000 * 0.8^(7-1)

a7 = 12,000 * 0.8^6

Evaluating this expression, we find:

a7 ≈ 12,000 * 0.262144

a7 ≈ 3,145.73

Therefore, From the given table, we can observe that the values of the printing equipment form a geometric sequence. Let's denote the first term of the sequence as a1 and the common ratio as r.

From the table, we have the following information:

a1 = 12,000

a2 = 9,600

a3 = 7,680

To find the common ratio, we can divide any term by its preceding term:

r = a2/a1 = 9,600/12,000 = 0.8

Alternatively, we can also calculate:

r = a3/a2 = 7,680/9,600 = 0.8

Now that we have the first term (a1 = 12,000) and the common ratio (r = 0.8), we can use the formula for the nth term of a geometric sequence to find the value of the printing equipment after 7 years.

The formula for the nth term (an) of a geometric sequence is:

an = a1 * r^(n-1)

Substituting the values, we have:

a7 = 12,000 * 0.8^(7-1)

a7 = 12,000 * 0.8^6

Evaluating this expression, we find:

a7 ≈ 12,000 * 0.262144

a7 ≈ 3,145.73

Therefore, the value of the printing equipment after 7 years is approximately $3,145.73.

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Answer:

Step-by-step explanation:

The ratio of corresponding sides

Solving for x

Correct option is 110

Answer:

C. He found the midpoint of a segment.

Step-by-step explanation:

The midpoint is the point that divides a segment into two equal parts. Thus it is located at the middle of the segment.

John used this simple method to determine the midpoint of a segment. For example, let a segment AB = 10 cm be folded in half. A point made at the fold would be at 5 cm, which is the midpoint of the segment.

Thus the appropriate answer to the question is option C.

Answer:

80

Step-by-step explanation:

Step-by-step explanation:

All 5 there is 4

All 100 there is x

x = 4/5 × 100

= 80

The percent error in Jessica's calculation is 4.17%.

To calculate the percent error in Jessica's calculation, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) * 100

Given that Jessica's measured value was 125 seconds and the actual value was 120 seconds, we can substitute these values into the formula:

Percent Error = (|125 - 120| / 120) * 100

Simplifying further:

Percent Error = (5 / 120) * 100

Percent Error = 0.0417 * 100

Percent Error = 4.17%

This means that Jessica's recorded time of 125 seconds differs from the actual time of 120 seconds by approximately 4.17% in relative terms. The positive sign indicates that Jessica's recorded time was greater than the actual time.

Percent error is a way to quantify the discrepancy between a measured value and the true value. It provides a measure of the accuracy of a measurement or calculation, allowing us to understand the degree of error or deviation involved.

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The quantitative variables that can be identified from the problem are Median age of town, Average weekly sales, and Median income of town.

The units for Median age of town is years, Average weekly sales is dollars, and Median income of town is dollars.The remaining options City, Whether or not the store sells liquor, Type of food, and Town area have not specified the units and therefore are not quantitative variables. Quantitative variables are variables that are measured on a numerical scale. The problem in this question provides a list of options and asks to select the options that identify quantitative variables and specify their units. The following quantitative variables can be identified from the problem:Median age of town: Median age of town is a quantitative variable since it is measured in years. The median age of the town is the middle value of the ages of the population of the town. The unit for median age is years since it is a numerical scale that represents the age of the population in years.Average weekly sales: Average weekly sales is a quantitative variable since it is measured in dollars. The average weekly sales represent the mean sales of a store over a week, which can be calculated by dividing the total sales by seven. The unit for average weekly sales is dollars since it is a numerical scale that represents the currency value of sales.Median income of town: Median income of town is a quantitative variable since it is measured in dollars. The median income of the town is the middle value of the income of the population of the town. The unit for median income is dollars since it is a numerical scale that represents the income value of the population.

The units of quantitative variables are essential as they provide a measure of the scale of the variable. In this problem, the quantitative variables identified were Median age of town, Average weekly sales, and Median income of town. The units of these variables are years, dollars, and dollars, respectively. The remaining options do not specify the units and hence cannot be classified as quantitative variables.

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Answer:

? = 65°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ UPT is an external angle of the triangle, thus

? + 50° = 115° ( subtract 50° from both sides )

? = 65°

Answer:

To find the center of the given equation of a circle, we first need to rewrite it in the standard form:

x² + y² + 8x = 2x - 20y - 105

x² + 8x + y² = 2x - 20y - 105

Completing the square for the x terms:

(x² + 8x + 16) + y² = 2x - 20y - 105 + 16

(x + 4)² + y² = 2x - 20y - 89

Now we can see that the equation is in the standard form:

(x - (-4))² + (y - 0)² = r²

where the center of the circle is (-4, 0) and the radius squared is:

r² = 2x - 20y - 89

Note that the center of the circle can be found by taking the negative of the coefficients of x and y in the completed square terms and reversing their signs. In this case, the completed square term for x is (x + 4)², so the x-coordinate of the center is -4. The completed square term for y is y², so the y-coordinate of the center is 0.

TQR

T, R

RQS and SQR

I might be wrong but if I am don't rank 1 star and beat me up

Hope this helps :)

Good luck

The equation that represents the table is y = 1/4x - 2.

To determine which equation represents the given table, we can examine the values of x and y in the table and compare them to the equations provided.

Looking at the table:

x: -4, 0, 4

y: -3, -2, -1

We can plug these values into each equation and see which equation gives us the corresponding y-values.

For equation (1): y = 1/4x - 2

-3 = 1/4(-4) - 2 => -3 = -1 - 2 => -3 = -3 (true)

-2 = 1/4(0) - 2 => -2 = 0 - 2 => -2 = -2 (true)

-1 = 1/4(4) - 2 => -1 = 1 - 2 => -1 = -1 (true)

For equation (2): y = -1/4x + 4

-3 = -1/4(-4) + 4 => -3 = 1 + 4 => -3 = 5 (false)

-2 = -1/4(0) + 4 => -2 = 0 + 4 => -2 = 4 (false)

-1 = -1/4(4) + 4 => -1 = -1 + 4 => -1 = 3 (false)

For equation (3): y = 4x - 2

-3 = 4(-4) - 2 => -3 = -16 - 2 => -3 = -18 (false)

-2 = 4(0) - 2 => -2 = 0 - 2 => -2 = -2 (true)

-1 = 4(4) - 2 => -1 = 16 - 2 => -1 = 14 (false)

We can see that only equation (1) satisfies all the given x and y values in the table. The equation that represents the table is y = 1/4x - 2.

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lemme think ill brb

Step-by-step explanation:

Answer:

(-1,1)(3,3) i think??

The extracted volume of component C is 18.0 milliliters.

To find the extracted volume of component C, we need to calculate 90% of the original volume of component C in the liquid mixture.

Given that the volume of component C in the liquid mixture is 20.0%, and the original volume is the same as the volume in the mixture, we can set up the following equation:

Extracted volume of component C = 0.9 * (20.0% of the total volume of the liquid mixture)

To calculate the total volume of the liquid mixture, we need to find the sum of the percentages of all components:

Total volume = Volume of component A + Volume of component B + Volume of component C + Volume of component D

= 10.0% + 25.0% + 20.0% + 45.0% = 100.0%

Now we can substitute the values into the equation:

Extracted volume of component C = 0.9 * (20.0% of 100.0 mL)

= 0.9 * (0.2 * 100.0 mL) = 0.9 * 20.0 mL = 18.0 mL

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Answer:

10

Step-by-step explanation:

isolate y by adding 5 to each side. Now you have y=x+10. 10 is the c value, which is the y-intercept

Answer:

B

Step-by-step explanation:

Answer:

b y=6x+50

Step-by-step explanation:

The correct answer is:

b. Reject the null hypothesis of no cointegration at the 5% level because -3.10 < -2.86

In the given scenario, the ADF test statistic (-3.10) is compared to the ADF 5% critical value (-2.86). If the test statistic is more negative (i.e., lower) than the critical value, it provides evidence to reject the null hypothesis of no cointegration.

Since -3.10 is smaller than -2.86, we can conclude that the estimated residuals from the regression exhibit cointegration at the 5% level. Thus, we reject the null hypothesis of no cointegration.

The other critical value (-3.398) mentioned (Engle-Granger) is not relevant for this decision as it pertains to a different test.

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Answer:

Ok:

Step-by-step explanation:

Domain: {x| x ϵ ℝ}

Range: {y| y ≤ 3}

ϵ - means 'belongs to the set of'

and ℝ means 'all real numbers'

What it mens is that x is defined at every x value.

Answer: -4

—

3

Step-by-step explanation:

Answer:

-1.333

Step-by-step explanation:

The change in position for x is -4, the change in position for y is 3, -4/3 = -1.333