The graph of g(x) is a transformation of the graph of f(x)=2x. Enter the equation for g(x) in the box. g(x) =

Answer:

Use a graphing calc.

Step-by-step explanation:

On the graph, use (0, 0) and (2, 5) to graph the function.

Answer:

x = 12

Step-by-step explanation:

To get the value of x, we use the mid-segment theorem of trapezoid

The theorem is that the mid-segment is half the sum of the other two segments

We have this as

;

5x - 20 = 1/2(2x + 6 + 4x + 2)

2(5x-20) = 6x + 8

5x -20 = 3x + 4

5x -3x = 4 + 20

2x = 24

x = 24/2

x = 12

When the government imposes a specific tariff of $1, the prevailing price in the market increases to p^ = 5.5. We can use the demand and supply equations to find the quantity demanded and the quantity supplied at this price.

Quantity demanded: D(p) = 1100 - 50p = 1100 - 50(5.5) = 1100 - 275 = 825

Quantity supplied: S(p) = 200 + 100p = 200 + 100(5.5) = 200 + 550 = 750

At the price of p^ = 5.5, the quantity demanded is 825 cars and the quantity supplied is 750 cars. Since the quantity demanded is greater than the quantity supplied, there will be imports of cars. The quantity of imports will be the difference between the quantity demanded and the quantity supplied:

Imports = Quantity demanded - Quantity supplied = 825 - 750 = 75

Therefore, at the price of p^ = 5.5, there will be imports of 75 cars. There will be no exports of cars because the quantity demanded is greater than the quantity supplied.

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The population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.

All these elements are taken into account when formulating the population growth formula.

r = [(b + i) - (d + e)]/1000

Put the values in the formula.

r =  [(2,000 + 100) - (500 + 200)]/1000

r = 2100 - 700/ 1000

r = 1.4

Thus, the population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.

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Answer:

C. x-2

Step-by-step explanation:

edge

Answer: the 3rd the answer c

x-2

Step-by-step explanation:

As per the given situation, Michael is option (b) 6 years old now.

The unitary method can be used to solve this problem. To use this method, we must first decide which quantity represents the unit, in this case the unit is one year.

We can then write the given information in terms of the unit. Norman is 12 years older than Michael, and in 6 years, he will be twice as old as Michael. This can be rewritten as 12 units + 6 units = 2(6 units).

This equation can be solved using the unitary method to find that Michael is 6 years old, making answer B the correct answer

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Answer:

16g

Step-by-step explanation:

16

16

16

16

16

16

16g

16g

16g

Answer:

\(16.35\)

Step-by-step explanation:

thanks ☺️☺️☺️

Since BAF is opposite of DAE, they are equal to each other.

134 - 89 = 45

The correct answer is 45

The measure of angle DAE is 45°, the correct option is A

Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

Linear function is a function whose graph is a straight line

We are given that;

Angle BAF= 134, Angle CAD= 89

Now,

Angle BAF + Angle EAF= 180

134 + Angle EAF= 180

Angle EAF= 180 - 134

Angle EAF= 45

And DAC + DAE + EAF= 180

89+ DAF + 44 = 180

DAF = 180-135

DAF = 45

Therefore, by the linear angle property the answer will be 45.

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Answer:

A is right.  domain = {112, 120, 128, 136, 144}

Step-by-step explanation:

The range is the y-coordinate while the domain is the x-coordinate

y = x/4

x = 4y

domain = {4(28), 4(30), 4(32), 4(34), 4(36)}

= {112, 120, 128, 136, 144}

Answer:

D is right answer i swear

35° -( 16hours * 3°)

Answer:

D. 35° - ( 3° )* 16

Step-by-step explanation:

the initial temperature: 35°

so final temperature: initial temperature - dropping temperature

final temperature: 35° - ( 3° )* 16

                            :  -13°

The temperature of the water after 4.5 minutes is approximately 153°F.

Using Newton's Law of Cooling to find the value of the decay constant k: T = \(Ta + (T0 - Ta) * e^-k*t\)

Substituting the given values, we get:

185 = \(69 + (203 - 69) * e^-k*1.5\)

Simplifying, we get:

\(116 = 134 * e^ \\^{-1.5k}\)

Dividing both sides by 134, we get:

\(0.8657 = e^{-1.5k}\)

Taking the natural logarithm of both sides, we get:

ln(0.8657) = -1.5k

Solving for k, we get:

k ≈ 0.232

Therefore, the value of the decay constant is approximately 0.232.

To find the temperature of the water after 4.5 minutes, we can use Newton's Law of Cooling again, with t = 4.5:

\(T = Ta + (T0 - Ta) * e^-k*t\)

\(T = 69 + (203 - 69) * e^-0.232*4.5\)

T ≈ 153°F

Therefore, the temperature of the water after 4.5 minutes is approximately 153°F.

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The equation that can be used to find y, the year in which both bodies of water have the same amount of mercury is 0.05 + 0.1y = 0.12 + 0.06y. Hence, the 3rd option is the right choice.

In the question, we have been asked for the equation that can be used to find y, the year in which both bodies of water have the same amount of mercury.

First, we will find the equations showing the level of mercury in each body of water.

For the first water body:

Initial measure of mercury = 0.05 ppb.

Rate of rising = 0.1 ppb each year.

Number of years = y.

Thus, the equation showing level of mercury = 0.05 + 0.1y.

For the second water body:

Initial measure of mercury = 0.12 ppb.

Rate of rising = 0.06 ppb each year.

Number of years = y.

Thus, the equation showing level of mercury = 0.12 + 0.06y.

We are looking for the equation, to find y, the year in which both bodies of water have the same amount of mercury.

As they will have the same amount of mercury, their respective equations showing the level of mercury should be equal, that is:

0.05 + 0.1y = 0.12 + 0.06y, which is the required equation.

Thus, the equation that can be used to find y, the year in which both bodies of water have the same amount of mercury is 0.05 + 0.1y = 0.12 + 0.06y. Hence, the 3rd option is the right choice.

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For the complete question, refer to the attachment.

Answer:

4.26

Step-by-step explanation:

If you cut off 2.74 meters off of a 7 meter rope it will leave you with 4.26 meters.

Answer:

1. m=2/7

2. there are 25 students in her class

3. x=16

4. each notebook cost $2

Step-by-step explanation:

We return "Yes"; otherwise, we return "No".

What is probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.

To solve this problem, we can work backward from (c,d) to (a,b) and check if each step is valid. Specifically, we can use the following observations:

If c < a or d < b, it is impossible to reach (c,d) from (a,b) using the given operations.

If c - a = d - b, we can reach (c,d) from (a,b) using only the second operation. Specifically, we can perform the operation (a, a+b) repeatedly until we reach (c,d).

If c - a != d - b, we can reach (c,d) from (a,b) using a combination of the two operations. Specifically, we can perform the first operation (a,b) -> (a+b,b) repeatedly until we get to a point where c - a = d - b, and then use the second operation to get to (c,d).

Here, we first check if it is impossible to reach (c,d) from (a,b) using the observations above. If not, we perform the second operation as many times as possible to reduce the difference between c and a, and d and b. Once this is done, we check if we have arrived at (a,b).

Therefore, we return "Yes"; otherwise, we return "No".

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Answer:

The second period from 1669 to 1687 was the highly productive period in which he was Lucasian professor at Cambridge. The third period (nearly as long as the other two combined) saw Newton as a highly paid government official in London with little further interest in mathematical research.

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

x = 3^2

x = 3*3

x=9

Answer:

18.) 10x

20.) k - 24

22.) 12 - 9

Step-by-step explanation:

Answer:

It equals 0

Step-by-step explanation:

Hope it helps!

To determine whether the point \((1,2)\) is a solution of inequality  \(3x - 2y - 6 > 0\),  we substitute the point in the inequality and if the result is True, then it will be the solution .

What is an Inequality ?

The Inequality is defined as a relationship between two expressions or values that are not equal to each other .

The inequality in the question is given as : \(3x - 2y - 6 > 0\) ;

the point is ⇒ \((1,2)\) ,

to check the solution , we substitute the values in the inequality as \(x=1\)and \(y=2\) ;

we get , \(3(1) -2(2) - 6 > 0\)

= \(3-4-6 > 0\)

= \(3-10 > 0\)

= \(-7 > 0\),

But we know that , \(-7 < 0\) , So , the given point is not the solution of the given inequality .

The given question is incomplete , the complete question is

How do you determine if the given point (1,2)  is a solution of each linear inequality 3x - 2y - 6 > 0  ?

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The axis of symmetry for the quadratic function in this problem is given as follows:

x = 5.

The vertex is given as follows;

(5, 7).

The graph is given by the image presented at the end of the answer.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The function in this problem is given as follows:

g(x) = (x - 5)² - 7.

Hence the coordinates of the vertex are given as follows:

(5,7).

The axis of symmetry is the vertical line at the x-coordinate of the vertex, hence:

x = 5.

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Answer:

\(A=\frac{3\sqrt{55}}{2}\)

Step-by-step explanation:

For a height h, a perimeter P, and an area A, use the following formula:

\(A=\frac{1}{4}h\sqrt{P^{2}-4h^{2} }\)

Next, replace the variables with the given values:

\(A=\frac{1}{4}(3)\sqrt{(16)^{2}-4(3)^{2} }\)

Solve the inside of the square root:

\(A=\frac{1}{4}(3)\sqrt{256-36}\\A=\frac{1}{4}(3)\sqrt{220}\)

Multiply outside of the square root:

\(A=\frac{3}{4}\sqrt{220}\\\)

Simplify the square root:

\(A=(\frac{3}{4})2\sqrt{55}\\\)

Multiply outside of the square root once more:

\(A=\frac{3}{2}\sqrt{55}\\\)

Simplify:

\(A=\frac{3\sqrt{55}}{2}\), or ≈ 11.12429773

Answer:

82 degrees

Step-by-step explanation:

First set 10x+8 equal to 12x-10 to find that the variable is equal to 9. Then solve for 10(9)+8 which equals 98. Since angle 1 is supplementary to angle two and supplementary angles add up to 180 degrees, subtract 98 from 180 to find that your answer is 82 degrees.

Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.

To determine the slope of a line given two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.

Let's apply the formula to each set of ordered pairs:

A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)

B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)

C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)

D. This set has only one point (2, 3) and is therefore not sufficient to define a line.

Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.

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Answer:

i believe 2 pounds

Step-by-step explanation:

6 pounds of rasins cost 6 dollars, that leaves you with 4 more dollars and 2 pounds and so you could only buy 2 pounds for 4 dollars which equils 8 and 10

Answer:

24

Step-by-step explanation:

The corrrect statements about angle are:

Please refer to the attached picture below for visualization of the angles.

Based on the attached picture, we can consider the relationship of each angle, such as:

Alternate interior angles and congruent:

Angle 4 and angle 5

Angle 3 and angle 6

Alternate exterior angles and congruent:

Angle 1 and angle 8

Angle 2 and angle 7

Consecutive interior angles and supplementary:

Angle 3 and angle 5

Angle 4 and angle 6

Corresponding angles and congruent:

Angle 1 and angle 5

Angle 2 and angle 6

Angle 3 and angle 7

Angle 4 and angle 8

Vertical angles and congruent:

Angle 1 and angle 4

Angle 2 and angle 3

Angle 5 and angle 8

Angle 6 and angle 7

Supplementary angles:

Angle 1 and angle 2

Angle 3 and angle 4

Angle 5 and angle 6

Angle 7 and angle 8

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