Solve each equation. For each step. Identify the property used.

14 + 3n = 8n - 3(n-3)
22x + 11 = 4x - 7

(P.S. The properties that the problem is asking for are the properties of equality. Division property of equality, etc, etc.)

The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Explanation:

The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).

When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.

In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).

Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).

The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.

The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.

The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.

Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

x + 140 = 180° x=40

y + 90 = 180° y=90

The value of l is either 2 or 3, depending on whether the second letter drawn is b or not, respectively.The problem can be solved using the pigeonhole principle. We can draw letters one by one until we have seen any two of a, b, and c, but not all of them.

To minimize the number of letters drawn, we want to draw as few letters as possible before seeing any two of a, b, and c. We can start by assuming that the first letter drawn is a. Then, there are two cases to consider:

Case 1: The second letter drawn is b.

In this case, we have seen both a and b, so we stop drawing letters. The value of l is 2.

Case 2: The second letter drawn is not b (i.e., it is either a or c).

In this case, we need to draw one more letter to ensure that we have seen any two of a, b, and c. If the third letter is the same as the second letter, then we keep drawing letters until we see a different letter. Therefore, the maximum number of letters we need to draw in this case is 3.

Therefore, the value of l is either 2 or 3, depending on whether the second letter drawn is b or not, respectively.

learn more about pigeonhole principle here

https://brainly.com/question/33160176

#SPJ11

Answer:

The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Step-by-step explanation:

David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

(1, 5) is the point on the graph that tells you the amount one hat costs

Given that: A graph with hats on the x-axis and Total Price in Dollars on the y-axis. The line starts at the origin and goes through 4 comma 20.

Thus: Origin = (0,0) and point 1 (4, 20)

The slope of the graph will give you the price of one hat. That is:

Slope = 20-0 / 4-0 = 20/4 = 5

Therefore, the point on the graph tells you the amount one hat costs is (1, 5)

Learn more about graph of a line on:

https://brainly.com/question/28953503

#SPJ1

To apply the next law from the right in the given formula, we first identify the next logical law from the right that can be applied, which is the double negation elimination rule.

We apply this rule to the first term in the formula, (s→¬¬n), which gives us (s→n).

The next law from the right to apply would be the law of double negation again, which simplifies the first term even further by giving us (¬s∨n) instead of (¬s∨¬¬n).

We then apply the implication law to convert the implication in the formula to a disjunction, giving us (¬s∨n)∧(¬(n∨F)∨s).

Finally, we apply De Morgan's law to distribute the negation in the formula, giving us the final answer of (¬s∨n)∧((¬n∧¬F)∨s).

Step-by-step explanation:

Identify the next logical law from the right that can be applied to the given formula. In this case, it is the double negation elimination rule.

Apply the double negation elimination rule to the given formula: (s→¬¬n)∧((n∨F)→s) becomes (s→n)∧((n∨F)→s)

Continue applying relevant logical laws from the right: (s→n)∧((n∨F)→s) becomes (¬s∨n)∧((n∨F)→s)

Apply the implication law to convert the implication in the formula to a disjunction: (¬s∨n)∧((n∨F)→s) becomes (¬s∨n)∧(¬(n∨F)∨s)

Apply De Morgan's law to distribute the negation in the formula: (¬s∨n)∧(¬(n∨F)∨s) becomes (¬s∨n)∧((¬n∧¬F)∨s)

Learn more about these laws :

https://brainly.com/question/31045489

#SPJ11

Answer:

B

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer: \(9\times 11\ ft^2\)

Step-by-step explanation:

Given

Height is \(2\ ft\) more than its width

Suppose the width is \(x\). So, height becomes \(x+2\)

Area of the painting is \(99\ ft^2\)

Area is the product of width and height

\(\therefore 99=x(x+2)\\\Rightarrow 99=x^2+2x\\\Rightarrow x^2+2x-99=0\\\Rightarrow x^2+11x-9x-99=0\\\Rightarrow (x+11)(x-9)=0\\\Rightarrow x=-11,9\)

Neglect the negative values

\(\text{Width =}9\ ft\\\text{height =}9+2=11\ ft\)

The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

To learn more about population mean link is here

brainly.com/question/30324262

#SPJ4

Answer:

Perimeter = 16x-20 units

Step-by-step explanation:

Given: 16x^2 - 40x + 25

Reduce perfect square trinomial: (4x-5)(4x-5)

4x-5 is your side length. Since the perimeter of a square is 4s, then the perimeter is 4(4x-5)=16x-20

The distance between the two points (0,7) and (−6,3) is approximately 7.2

Here, we have,

We are asked to find the distance between two points. We will calculate the distance using the following formula;

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

In this formula, (x₁ , y₁) and (x₂ , y₂) are the 2 points.

We are given the points ( 0 , 7 ) and ( − 6 , 3 ) .

If we match the value and the corresponding variable, we see that:

x₁= 0      

y₁= 7        

x₂= -6    

y₂= 3

Substitute the values into the formula.

distance= √(x_2-x_1)²+(y_2-y_1)²

Solve inside the parentheses.

(-6 - 0)= -6

(3 - 7)=  -4

Solve the exponents. Remember that squaring a number is the same as multiplying it by itself.

(-6)²= 36

(-4)²= 16

Add.

36 + 16 = 52

Take the square root of the number.

d = 7.21

Round to the nearest tenth.

The distance between the two points (0,7) and (−6,3) is approximately 7.2

To learn more on Distance click:

brainly.com/question/15172156

#SPJ1

Answer: everything except option 2 I think

Step-by-step explanation:

Rational numbers are numbers that can be written as quotients

The multiple standard error of estimate measures C. variation due to the relationship between the dependent and independent variables.

Option C is the correct answer: "Variation due to the relationship between the dependent and independent variables."

The multiple standard error of estimate is a statistical measure that quantifies the average amount of variation or scatter in the observed data points around the regression line in a multiple regression analysis. It provides an estimate of the typical distance between the actual observed values of the dependent variable (Y) and the predicted values based on the independent variables (X).

It represents the standard deviation of the residuals (the differences between the observed values of Y and the predicted values). The multiple standard error of estimate helps assess the accuracy of the regression model in predicting the dependent variable based on the independent variables.

Option A, "Change in Y for a change in X," refers to the slope or coefficient of the regression line, not the multiple standard error of estimate.

Option B, "Variation of the data points between Y and Y," does not accurately describe the role of the multiple standard error of estimate.

Option D, "Amount of explained variation," is not correct either. The amount of explained variation is typically measured by the coefficient of determination (R-squared) in regression analysis, which represents the proportion of the dependent variable's variance that can be accounted for by the independent variables, not by the multiple standard error of estimate.

To know more about standard error, refer here:

https://brainly.com/question/32854773

#SPJ4

Answer:

Step-by-step explanation:

-2.3?

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

To know more about Magnitude:

https://brainly.com/question/31022175

#SPJ2

Step-by-step explanation:

As I do not have the work shown to calculate the number of ways to choose the passengers, I cannot identify the specific error made. However, I can provide some insight on how to approach this type of problem correctly.

When choosing 2 people from a group of 10, we can use combinations, which are denoted as "n choose k" and represented by the formula:

n choose k = n! / (k! * (n-k)!)

where n is the total number of items in the group and k is the number of items to be chosen.

In this case, we want to choose one passenger for first class and one passenger for coach. Therefore, we can separate the group of 10 into two subgroups: one subgroup with 1 person (for first class) and another subgroup with 9 people (for coach).

Using combinations, we can calculate the number of ways to choose 1 person from the subgroup of 1 and 1 person from the subgroup of 9:

(1 choose 1) * (9 choose 1) = 1 * 9 = 9

Therefore, there are 9 ways to choose the passengers to fill the seats.

It has been proven that the opposite sides of the parallelogram ABCD are equal

We are told that ABCD is the parallelogram and AC is a diagonal. We observe that the diagonal AC divides parallelogram ABCD into two triangles, namely, ∆ABC and ∆CDA.

Thus, we have o first prove that these triangles are congruent.

In ∆ABC and ∆CDA, w note that BC || AD and AC is a transversal.

Thus, BCA = DAC (Pair of alternate angles)

And AC = CA (reflexive property of congruency)

So, ∆ABC and ∆CDA are congruent (ASA rule).

Therefore, the corresponding parts AB = CD and AD = BC

Hence proved.

Read more about Parallelogram proof at: https://brainly.com/question/30177531

#SPJ1

Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

A small p-value provides strong evidence against the null hypothesis. The null hypothesis is the hypothesis that there is no significant difference or relationship between two variables.

The p-value is the probability of obtaining a result as extreme or more extreme than the observed result, assuming the null hypothesis is true.
If the p-value is small, typically less than 0.05, it means that the observed result is unlikely to have occurred by chance alone if the null hypothesis is true. This suggests that there is strong evidence against the null hypothesis and that we should reject it in favor of the alternative hypothesis. .
For example, if we conduct a hypothesis test to determine whether a new drug is more effective than a placebo, a small p-value would indicate that the drug is indeed more effective. This is because the observed results are highly unlikely to occur if the drug is not effective.
In summary, a small p-value provides strong evidence against the null hypothesis and supports the alternative hypothesis. It suggests that the observed results are not due to chance and that there is a significant difference or relationship between the variables being studied.

To know more about Value visit:

https://brainly.com/question/19881297

#SPJ11

The derivative limit is used to find the rate of change of a function at a specific point by taking the limit of the difference quotient as the change in the input variable approaches zero.

The derivative of a function at a specific point is the rate at which the function changes at that point. More specifically, it is the slope of the tangent line to the graph of the function at that point.

The derivative limit refers to the process of finding the derivative of a function at a particular point by taking the limit of the difference quotient as the change in the input variable approaches zero.

In mathematical notation, the derivative of a function f(x) at a point x=a is denoted as f'(a), and is defined as:

f'(a) = lim h→0 (f(a+h) - f(a))/h

Here, h represents the change in the input value, and as h approaches zero, the quotient (f(a+h) - f(a))/h approaches the slope of the tangent line to the graph of the function at the point x=a.

The concept of the derivative limit is essential to calculus and is used in many areas of mathematics, science, and engineering to model and analyze real-world phenomena.

Learn more about derivative limit here

brainly.com/question/29144258

#SPJ4

1.  [1  2  3]   [x1]   [2]

 [0  1 -1]   [x2] = [8]

 [1  2  1]   [x3]   [4]

2. x3 equals to -11/3.

To solve for x3 using Cramer's rule, we need to find the determinant of the coefficient matrix and then form three additional matrices by replacing the third column of the coefficient matrix with the constants vector. The determinant of the coefficient matrix is:

| 1  2  3 |

| 0  1 -1 |

| 1  2  1 | = 1(1-4)-2(3-1)+3(2-2) = -3

Next, we form three matrices by replacing the third column of the coefficient matrix with the constants vector:

 [1  2  2]   [2]

 [0  1  8] = [8]

 [1  2  4]   [4]

 [1  2  3]   [2]

 [0  1 -1] = [8]

 [1  2  1]   [4]

 [1  2  3]   [2]

 [0  1 -1]   [8]

 [1  2  4]   [4]

The determinants of these matrices are:

| 1  2  2 |    | 1  2  3 |    | 1  2  3 |

| 0  1  8 | = -4| 0  1 -1 | = -3| 0  1 -1 | = 11

| 1  2  4 |    | 1  2  1 |    | 1  2  4 |

Therefore, x3 can be calculated as:

x3 = Det(B)/Det(A) = 11/-3 = -11/3

For such more questions on equals

https://brainly.com/question/30197153

#SPJ8

The probability that the student drinks soda, given that they drink coffee, is 0.25.

Let's designate the proportion of students who regularly consume soda as "S," those who frequently consume coffee as "C," and those who regularly consume both as "B."

Since 40% of students frequently consume soda, there are 0.4S kids who do the same.

Additionally, there are 0.3S students who consume coffee because 30% of students do it frequently.

Additionally, since 10% of students consume both beverages, there are 0.1S students who also consume soda and coffee.

Students in the class S = 0.4S + 0.1S = 0.5S either drink soda or both.

The pupils in C = 0.3S + 0.1S = 0.4S either consume coffee or both.

So, given that the student drinks coffee, the probability of drinking soda is:

P(soda | coffee) = P(soda and coffee) / P(coffee)

                          = 0.1S / 0.4S

                          = 0.25.

To know more about probability refer to:

brainly.com/question/25839839

#SPJ4

Answer:

Step-by-step explanation:

Slope= 10-4/2-0=3 y= 3x+4  (10= 3(2)+4

Answer:

172.2 = 250.5

Step-by-step explanation:

6³− 43.5 = 250.5

Follow PEMDAS (Parenthesis Exponents Multiplication Division Addition Subtraction)

216 − 43.5 = 250.5

172.2 = 250.5

Answer:

The answer is false.

6³− 43.5 ≠ 250.5

6³− 43.5 = 172.5

Step-by-step explanation:

I hope this helps.

Answer:

2

Step-by-step explanation:

pls give branliest

Answer:

Step-by-step explanation:

pregunt aatumama  

Answer:

here's the answer it's :

x=-28

y=-18

z=-16