which system of equations is represented by the following graph? A. y=3x+5 1/2x+2B. y=-2x+3 y=4x-1C. y=1/5x-3/5 y=3/2x+2D. y=4/3x-2 y=-2/3x+5/6

The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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Answer:

80

Step-by-step explanation:

8×7=56

8×3=24

56+24=80

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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You're looking for values of x and y that satisfy both equations at the same time. We can solve this by substitution, which involves solving one equation for one of the variables, then rewriting the other equation completely in terms of one of these variables, and solving for them.

In the second equation, we have

x - 4y = 3

which means

x = 4y + 3

Substitute this into the other equation and solve for the other variable:

4x - 4y = 24

4 (4y + 3) - 4y = 24

16y + 12 - 4y = 24

12y + 12 = 24

12y = 12

y = 1

Solve for the remaining variable:

x = 4y + 3

x = 4•1 + 3

x = 4 + 3

x = 7

Answer: "forty point six"

Step-by-step explanation:

Answer:

\( \boxed{D. \: x = 5} \)

Step-by-step explanation:

\( = > 1 - 2x - 1 = - 10 \\ \\ = > 1 - 1 - 2x = - 10 \\ \\ = > 0 - 2x = - 10 \\ \\ = > \cancel{ - }2x = \cancel{ - }10 \\ \\ = > 2x = 10 \\ \\ = > x = \frac{10}{2} \\ \\ = > x = 5\)

Answer:

the answer is attached to the picture

Answer:

Step-by-step explanation:

Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.

An inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.

Let d represent the amount of cash in dollars and p represent the amount of prizes.

Since the  grand prize winner is guaranteed to win at least $500,

So, p + d ≥ 500

Therefore, an inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

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That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

500+4=504

Step-by-step explanation:

Hope it helps

Answer:

Let's call the total amount of the lottery winnings x.

If Kelly took one half of the earnings, then she took 1/2x and Toey took 1/2x as well.

Toey spent 1/4 of his earnings, so he spent 1/4*(1/2x) = 1/8x

So Joey spent 1/8 of the total lottery winnings.

Answer:

43.5

Step-by-step explanation:

43.5*2=87+3=90

Answer: it is a right tailed probability

Step-by-step explanation:

Population proportion = 26.9/100 = 0.269

We are dealing with the fact that the probability that the mean bond percent for the sample will be at least 28. This means that the sample proportion is 0.28 or above. This means that it is greater than the population proportion of 0.269

The hypothesis would be

For null hypothesis

p = 0.269

For alternative hypothesis,

p > 0.269

The inequality sign means that it is right tailed.

Answer:

First sample size, \(n_{x}\) = 20

Second sample size, \(n_{y}\) = 20

Sample mean of first sample, \(\bar{x}\) = 5.44

Sample mean of second sample, \(\bar{y}\) = 3.49

Sample Standard deviation of first sample, \(\sigma_{x}\) = 1.75

Sample Standard deviation of second sample, \(\sigma_{y}\) = 1.13

Step-by-step explanation:

Given - The sample mean tip amount for the 20 parties to which the waitress gave her name was $5.44, with a standard deviation of $1.75. These statistics were $3.49 and $1.13, respectively, for the 20 parties to which the waitress did not give her name. The data were not strongly skewed in either group.

To find - Use appropriate symbols for the six numbers reported in this paragraph.

Proof -

First sample size, \(n_{x}\) = 20

Second sample size, \(n_{y}\) = 20

Sample mean of first sample, \(\bar{x}\) = 5.44

Sample mean of second sample, \(\bar{y}\) = 3.49

Sample Standard deviation of first sample, \(\sigma_{x}\) = 1.75

Sample Standard deviation of second sample, \(\sigma_{y}\) = 1.13

A. The value of r = -0.83 means that there is a good negative correlation between the analyzed variables. In option A, the relation is positive, then it is not the correct answer. In option C, the values are highly dispersed, then the absolute value of r = 0.83 seems too high for this case. Therefore, Option B seems to be the correct option.

B. The equation y = 0.6x + 1.75 has a positive slope. The only graph with a line of best fit whit a positive slope is option A.

c) representing data with a histogram is an example of data organization

Answer: D g(x)=(x+4)^2+6

Step-by-step explanation:

The correct equation of the translated function, g(x) is,

⇒ g(x) = (x + 4)² 6

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that:

The function is,

,⇒ f (x) = x²

Here, f(x) has vertex point is (0,0)

and g(x) vertex point is (-4,6)

Hence, The general form of equation with vertex is

⇒ y = a (x - h)² + k

where (h, k) are the vertex.

So, the equation of g(x) form is

⇒ g(x) = (x + 4)² + 6

Therefore, Option D is correct.

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Answer:

4/3

Step-by-step explanation:

3/2 t + 2 = 4;

1.5t+2 = 4

1.5t = 2

t= 2/1.5 = 4/3

Answer:

o

Step-by-step explanation:

-4h=32

h=32/-4

h=-8

Answer:

h=-8

Step-by-step explanation:

-4h=32

Isolate h by dividing -4 on both sides

h=32/-4

Simplify

h=-8

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The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

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Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

Personality impacts how we prefer to communicate with people, as well as how we ourselves respond to information. The more we understand our own communication styles and those of the people we work with, the more effective we can be as leaders, teams, and colleagues

Step-by-step explanation:

Answer:

that they are 200 mL of 70% and 100 mL of 40%

Step-by-step explanation:

We have to build a 2x2 system of equations with the information from the statement as follows:

0.70 * x + 0.4 * y = 300 * 0.6

x + y = 300 => x = 300 - y

where x is elixir 1 (70%) and y elixir 2 (40%).

replacing we have:

0.70 * (300 - y) + 0.4 * y = 300 * 0.6

210 * - 0.7 * y + 0.4 * y = 180

-0.3 * y = 180 - 210

y = -30 / -0.3

y = 100

now for x:

x = 300 - 100

x = 200

Which means that they are 200 mL of 70% and 100 mL of 40%

9514 1404 393

Answer:

  P: $0.12/kWh; M: $0.15/kWh

  $285 from company P

Step-by-step explanation:

The cost per kWh from Company P is found by dividing the cost by the corresponding number of kWh:

  $150/(1250 kWh) = $0.12/kWh

The cost per kWh from Company M is the coefficient of x in the equation:

  $0.15/kWh

__

Company P provides power for a lower cost. The cost from Company P for 2375 kWh is ...

  (2375 kWh)×($0.12/kWh) = $285 . . . cost for 2375 kWh

Answer:

It is Positive,Negative,Positive after solving each of them

Answer:

1/13

Step-by-step explanation:

Step-by-step explanation:

So, drawing a given unit has a probability of 4/52=1/13. Once a card of a certain unit is drawn, there are just 3 cards of the same unit left, so the probability of drawing the second of the same unit is 3/51=1/17.

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

Both the domain and range of the transformed function are the same as those of the parent function.

What are Range and Domain?

The collection of all potential output values that a function can generate given its domain is known as its range.

The set of all potential input values for which a function is specified is referred to as its domain.

The function that results from translating the left 5 units and reflecting the function f(x) = |x| across the y-axis is g(x) = |-x + 5|.

Since any real number's absolute value is always non-negative, the original function's domain is all real numbers, or f(x) = |x|.

A function's domain remains unaffected when it is reflected across the y-axis. Since all real numbers fall within the domain of the modified function g(x) = |-x + 5|, this is also true.

Since each real number's absolute value is always non-negative, the original function's range is also all non-negative real numbers, f(x) = |x|.

A function's sign is reversed when it is reflected across the y-axis. Since all non-negative real numbers fall within this range, the transformed function g(x) = |-x + 5| also has this range as well

So, the correct statement about the domain and range of each function is: Both the domain and range of the transformed function are the same as those of the parent function.

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When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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If the production is increased by 10%, the new production levels for sport utility vehicles and pickup trucks are:

Factory 1: 110 sport utility vehicles

Factory 2: 99 sport utility vehicles

Factory 3: 77 sport utility vehicles, 66 pickup trucks

Factory 4: 33 sport utility vehicles, 66 pickup trucks

To find the production levels if production is increased by 10%, we need to multiply each entry of the matrix by 1.1:

A' = 1.1A = | 110 99 77 33 || 44 22 66 66 |

The matrix A' represents the new production levels. The entry in the first row and first column of A' (110) represents the number of sport utility vehicles produced at the first factory after the 10% increase in production. Similarly, the entry in the second row and third column of A' (66) represents the number of pickup trucks produced at the third factory after the 10% increase in production.

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