The dimensions of a rectangular garden are: Length (2x + 3) and the width is (3x-5) Find the value of x if the perimeter is equal to 26.

Answer:

Shop A & $400

Step-by-step explanation:

-4.7 + 27.5 + 122.3 = $145.1 (Shop A)

-0. 2 + 14.5 + 130.4 = $144.7 (Shop B)

Difference = 145.1 - 144.7 = $0.4

0.4 × 1000 = $400

The solution of the unknown equation n + 6 = 13 will be n = 7.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

The given equation is

n +6=13

To solve for n

Subtract 6 on both sides;

n +6=13

n = 13- 6

n = 7

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Answer:

The probability here is 62%

The probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Let X be the number of voters in the sample who do not support the budget (i.e., who will vote against it). Then X follows a binomial distribution with parameters n = 417 (the sample size) and p = 1 - 0.54 = 0.46 (the probability that a voter does not support the budget).

The probability that the sample will lead the newspaper to predict defeat is the probability that X is greater than half the sample size (since the budget will be defeated if more than half of the voters in the population vote against it). In other words, we need to calculate:

P(X > 0.5n) = P(X > 0.5 × 417) = P(X > 208.5)

We can use a normal approximation to the binomial distribution to estimate this probability. The mean of the binomial distribution is np = 417 × 0.46 = 191.82, and the standard deviation is √(np(1-p)) = √(417 × 0.46 × 0.54) = 10.04.

To apply the normal approximation, we standardize the random variable X as follows:

Z = (X - np) / √(np(1-p))

Then we can use a standard normal distribution table or calculator to find the probability:

P(X > 208.5) = P(Z > (208.5 - 191.82) / 10.04) = P(Z > 1.65) ≈ 0.0495

Therefore, the probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.

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Answer:

x > -5, so the correct answer is C.

Answer:

He had 534.45 more in credits that debits

Step-by-step explanation:

Ignatius hd $534.45 more in credits than in debits. Since Ignatius had an initial balance of $124.82 at the beginning of the month and ended the month with $659.27 he was up money versus what he had in his account at the beginning of the month. During the month Ignatius made money that was credited to his account so that he ended it with a higher balance. 

Answer:

2 and 5

Step-by-step explanation:

Use the sum-product pattern

3x^{2}{\color{#c92786}{-11x}}-20

3x^{2}+{\color{#c92786}{4x}}{\color{#c92786}{-15x}}-20

2

Common factor from the two pairs

3x^{2}+4x-15x-20

x(3x+4)-5(3x+4)

3

Rewrite in factored form

x(3x+4)-5(3x+4)

(x-5)(3x+4)

Solution

Answer:

2:7

Step-by-step explanation:

6:21 /3 = 2:7

The solutions for the given system of equations are (-9, 33) and(-2, 12).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).

Here, y=-6-3x in the equation (i), we get

-6-3x=x²+8x+12

x²+8x+12+6+3x=0

x²+11x+18=0

Splitting middle term method, we get

x²+9x+2x+18=0

x(x+9)+2(x+9)=0

(x+9)(x+2)=0

x=-9 or x=-2

Substitute x=-9 in the equation (ii), we get

y=-6-3(-9)

y=33

Substitute x=-2 in the equation (ii), we get

y=-6-3(-2)

y=12

So, solutions are (-9, 33) and(-2, 12)

Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).

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Answer:

can you show us the table? might give us more data than the question.

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

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Answer:

The answer is 29.

Step-by-step explanation:

If the function "f(x) = lxl-3" were translated five units down the graph, g(x) would be lxl-8.

We must be familiar with function transformation and different forms of transformation in order to properly understand the question. When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects" to create a new function. For instance, by simply pushing the graph of the function g(x) = x2 up by 7 units, the graph of the function f(x) = x2 + 7 is generated. It is advantageous to convert a function since it saves us from having to create a new function from begin. Function transformations typically fall into one of three categories: 1. 2nd translation 3. dilation Reflection

The given query is about Translation of Function. To create a new function, translation moves the curve up or down and modifies its position. Translation comes in two flavours. Vertical and horizontal translation.

When the curve changes, "the function" shifts upward or downward. By doing this, a function of the form y = f(x) is transformed into f(x) ± k, where k stands for the vertical translation. In this case, the function moves up by k units if k > 0.

The function goes down by 'k' units if k < 0.

The curve in the given problem goes down by 5 units, so k = 5. Which is a vertical translation scenario. Consequently, y = f(x) becomes f(x) - k = g(x) and g(x) = f(x) - k = lxl-3 -5 = lxl - 8.

Therefore the new function after translation is g(x) =  lxl - 8.

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Answer: A) 45%

Step-by-step explanation:

The question is incomplete. The complete question is

Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received 1/5 of the votes, Gilda received 10% of the votes, and Conroy received 1/4 of the votes. If Kyla received all of the remaining votes, what percentage of the votes did she receive? A. 45\% B. 55\% C. 20\% D. 50\%

Solution:

The total percentage of the votes that is spread among the 4 contestants is 100%

Carl received 1/5 of the votes. It means that the percentage of votes that Carl received is

1/5 × 100 = 20%

Gilda received 10% of the votes.

Conroy received 1/4 of the votes. It means that the percentage of the votes that Conroy received is

1/4 × 100 = 25%

Therefore, if Kyla received all of the remaining votes, then the percentage of the votes that she received is

100 - (20 + 10 + 25) = 45%

Answer:

40%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given revenue function R(x) = 30x, and cost function C(x) = 6x +1968, you want the profit function and the value of x to break even.

Profit is the difference between revenue and cost:

  P(x) = R(x) -C(x)

  P(x) = 30x -(6x +1968)

  P(x) = 24x -1968

The break even point is the number of units of production for zero profit.

  P(x) = 0

  24x -1968 = 0

  x -82 = 0 . . . . . . . . divide by 24

  x = 82 . . . . . . . . . add 82

82 units must be produced for the business to break even.

Answer:

g = 12

Step-by-step explanation:

First, simplify by subtracting 4 from 7:

g + 7 - 4 = 15

g + 3 = 15

Solve for g by subtracting 3 from both sides:

g = 12

So, the answer is g = 12

Simplify by subtracting 4 from 7:

g + 7 - 4 = 15

g + 3 = 15

Solve for g by subtracting 3 from both sides:

g = 12

 answer is g = 12

The possible price for the items if the store sells $600 is (c) $40

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

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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The crate of bananas is heavier than the bag of apples by 53 1/4 pounds.

An apple and a banana are both kinds of fruits. They both weigh differently.

Weight of a bag of apple = 8 7/8 pounds

Weight of a crate of bananas = 6 times as heavy as the apples

= 6 × 8 7/8

= 6 × 71 /8

= 426 / 8

= 53 1/4 pounds

Therefore, the weight of a crate of bananas is 53 1/4 pounds

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Answer:

12

Step-by-step explanation: Given:1st no. is 3

3×8=24

24+6=30

30/2=15

15-3=12

therefore,ans is 12

Answer:

The result is 12.

Step-by-step explanation:

3×8=24

24+6=30

30÷2=15

15-3=12

Hope it helps :)

Answer:

Step-by-step explanation:

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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Answer:

Step-by-step explanation:

The answer is B

Answer:

x=-3

Step-by-step explanation:

Answer:

I think its C

Step-by-step explanation: