Write a function g whose graph represents the indicated transformation of the graph of f .
The equation f(x) = = x + 2 translated 2 units to the right is g(x) =

Answer

68°

Explanation

Given:

m ∠O = (4x)°, m ∠M = (8x - 24)°

From the diagram,

m ∠M + m ∠O = 180° (Opposite angles of a cyclic quadrilateral is supplementary).

⇒ (8x - 24)° + (4x)° = 180°

Remove the brackets

8x - 24 + 4x = 180

Collect the like terms together

8x + 4x = 180 + 24

12x = 204

Divide both sides by the coefficient of x

12x/12 = 204/12

x = 17

Now, the given m ∠NOP = 4x

Substitute x = 17 into m ∠NOP

⇒4 x 17 = 68°

Answer:

1/4+1/3+1/8

=17/24

Step-by-step explanation:

1-17/24

=7/24

7/24×240

=70

Answer:

Step-by-stepcarry the 18975327834783578 explanation:

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

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

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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Answer:

A.

Step-by-step explanation:

1889mm to meters is 1.889 meters, round it up you get 2 meters.

The answer is A.

The required logarithm in the form log(c) is log(12).

The inverse function to exponentiation in mathematics is called the logarithm. If aˣ = n, then x is the logarithm of n to the base a, which is expressed mathematically as x = logₐ n.

Given:

log(4) + log(3)

Using the product property of logarithms, which states that a product's logarithm is equal to the sum of its logarithms.

log(ab) = log a + log b

Here, a = 4 and b = 3

So, log(12) = log(4) + log(3)

Therefore, the required logarithmic function in the form log(c) is log(12).

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer: 5/2187

Step-by-step explanation: The equation for geometric sequence is (a (subroot) n = a (subroot) 1) x ratio^(n-1).

Answer:

b = -13/3

Step-by-step explanation:

Plug in the 13/3 into the t and then try to solve it. Like this:

(13/3 - 8/3)(13/3 + b) = 0 ---->  5/3(13/3+b) = 0 ----> from here you have to distribute  ---->  65/9 + b = 0 (here you have to subtract from both sides)

b = -65/9 (you could simplified) ---> b = -13/3

Answer: 178 1/4 or 713/4

Step-by-step explanation:

178.25 = 178+0.25 = 178+25/100

gcd(25,100) = 25

178.25 = 178+(25/25)/(100/25) = 178+1/4 = 713/4

Answer:

Step-by-step explanation:

The order of the matrices in increasing order of their determinant values will be Third Matrix <Fourth Matrix <Fiftyh Matrix <First Matrix <Second Matrix <Sixth Matrix.

The determinant is defined as a scalar value which is associated with the square matrix. If X is a matrix, then the determinant of a matrix is represented by |X| or det (X).

The determinant of the matrices are as follows

1. -10

2. 17

3.-78

4.-30

5. -18

6. 23

Therefore the order of the matrices will be

Third Matrix <Fourth Matrix <Fiftyh Matrix <First Matrix <Second Matrix <Sixth Matrix

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The corresponding part of PQ is WX

The congruent statement is given as:

polygon WXYZ ≅ polygon PQRS.

This means that the corresponding points are:

W and P, X and Q, Y and R, Z and S

When two points Q and P are joined together, we have:

polygon WX ≅ polygon PQ

Hence, the corresponding part of PQ is WX

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Answer:

Not a function

Step-by-step explanation:

This is not a function. It will fail the vertical line test.  For any value of x, there are two different y values.  This tells us that it is not a function

Answer:

he has 35 students all together

Step-by-step explanation:

15 divided by 3(the girls)=5. 5 x 4(the boys)=20. 20 + 15 =35.

Answer:

35

Step-by-step explanation:

A right rectangular prism has a base of 20cm² and a height of 9.2cm will have a volume of  184 cm³

The right rectangular prism has four rectangle-shaped lateral faces, each of which is perpendicular to one of its bases, and two parallel end faces.

A non-right rectangular prism (oblique prism) has parallelograms for its faces. The term "cuboid" can also refer to a right rectangular prism.

In the given problem the formula used for volume of prism is

= are of base * height

= 20 * 9.2

= 184 cm³

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Answer:

no

Step-by-step explanation:

13² should be equal to 4² + 12² for that

checking, we get that 169 is not equal to 16+144= 160

so it's not right angle

to be tangent, it should be right angle

Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.

Quantitative variables are measured with numbers. Some examples include:

Weight measured in kilos

The distance measured in meters or kilometers

Time measured in seconds or hours

On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:

Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.

Moreover, variables can be classified as:

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Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Answer: -10

Step-by-step explanation:

a. Yes, Mia Hamm has an absolute advantage in both scoring goals and saving shots as a goalie,

b. The opportunity cost of scoring 1 goal for Mia is 0.6 shots

c. The opportunity cost of saving 1 shot as a goalie for Mia is 1.67 goals . The opportunity cost of saving 1 shot as a goalie for Alyssa is 0.17 goals scored.

d. Mia has the comparative advantage in scoring goals, since her opportunity cost of scoring 1 goal is lower than Alyssa's. Alyssa has the comparative advantage in saving shots as a goalie, since her opportunity cost of saving 1 shot is lower than Mia's

b.  The opportunity cost of scoring 1 goal for Mia is 0.6 shots saved as a goalie  which is calculated as

30 shots/50 goals = 0.6).

The opportunity cost of scoring 1 goal for Alyssa is 6 shots saved as a goalie  which is calculate as

opportunity cost 120 shots/20 goals = 6.

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The cost to manufacture a unit of energy drink, the selling price and the fixed monthly cost, indicates;

a. C(x) = 1.20·x + 8,000

b. R(x) = 2·x

c. Please find attached the graph of the Revenue and Cost functions showing the break-even point, created with MS Excel.

d. 10,000 units

e. $20,000

The cost function is an function that describes the cost of producing a specified number if units of a services or goods.

a. The cost of production = The variable cost + The fixed cost

The variable cost = The cost per unit × The number of units produced

The cost per unit = $1.20

The fixed cost per month = $8,000

Let x represent the number of units produced per month, we get;

Cost of production, C(x) = 1.20·x + 8,000

b. The revenue function, R(x) = The selling price per item sold × The number of items sold

The selling price per energy drink = $2

Let x represent the number of units sold, we get;

Therefore, the revenue function is; R(x) = 2·x

c. Please find attached the graph for the Revenue and Cost functions, showing the break-even point, created with MS Excel

d. The coordinates of the break-even point on the graph is; (10,000, 20,000), therefore, the number of energy drinks the manufacturer has to sell to break even is; x = 2,000 units of the energy drinks.

e. The revenue the manufacturer has to take to break-even is equivalent to the cost at the same number of units sold, which is $20,000

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Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

2 divided

Step-by-step explanation:

Answer:

There are 6 possible outcomes per roll and three 3 rolls = 6 x 6 x 6 = 216 possible outcomes, assume by outcome one counts each possible sequence separately. If you only count the sum of three rolls, then the possible outcomes are the integers from 3 to 18 inclusive, or 16 possible outcomes. Obviously you mean the former.

Answer:

216 outcomes.

Step-by-step explanation:

When you roll one 6 sided die you have a 1/6 chance,

when you roll two 6 sided dies you have a 1/36 chance,

when you roll three 6 sided dies you have 1/216 chance,

6x6x6

1       1        1

_      _       _

6     36    216

9514 1404 393

Answer:

  0.9114

Step-by-step explanation:

The multiplier for a series of changes is the product of the multipliers for each of the changes:

  (1 -2%)(1 -7%) = (0.98)(0.93) = 0.9114

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Answer:

I believe this is SSA congruence

Answer:

H (50cm)

Step-by-step explanation:

Since 8 is the radius, 16 is the diameter. The formula for the circumference of a circle is diameter times pi, so 16pi is around 50

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

Answer:

The answer is probably A, but you typed it in wrong so I do not know. I can only guess because the others do not seem to be correct either. I have graphed them on Desmos. The screenshot is below.

Step-by-step explanation: