which transformations had to occur for the blue triangle to become the purple triangle? [note: all rotations are about origin]

Answer:

Step-by-step explanation:

We can rewrite:

15(2x-10) + 4x = -2(15x+4)

gives

30x - 150 + 4x = -30x -8

Adding 30x on both sides and adding 150 on both sides gives us:

30x + 4x - 150 + 30x + 150 = -30x - 8 + 150 + 30x

which gives us: 64x = 142

We can now divide both sides by 64, which gives us:

x = 142 / 64 = 2.21875

So the only right answer is A

You can fill in all the other options into the starting equation if you want too see this is indeed true

Answer:

  f(x) = 5/6x +21

Step-by-step explanation:

You want the equation of the line with slope 5/6 through point (-18, 6) written using function notation.

Given a slope and a point, it can be useful to write the equation of the line in point-slope form:

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

The line of interest has slope m = 5/6 through point (h, k) = (-18, 6), so its equation can be written as ...

  y -6 = 5/6(x -(-18))

  y = 5/6x +15 +6 . . . . . eliminate parentheses, add 6

  y = 5/6x +21

Function notation gives a name to the relation, and identifies the independent variable. We want to call this f(x), meaning the name of the relation is "f", and the independent variable is "x". Essentially, "f(x)" replaces "y" in the above equation:

  f(x) = 5/6x +21

Given the equation:

6x + 3y = 12

We need to solve for y. Dividing by 3:

2x + y = 4

Subtracting 2x:

y = -2x + 4

First choice

SOLUTION:

Case: Present Value

Present Value is the value of an expected income stream determined as of the date of valuation. The present value is usually less than the future value because money has interest-earning potential.

Part 1

Sentence:

The Present Value is the Future Value divided by 1 is added to the rate of returns(i), raised to the number of periods(nt).

Part 2:

Present Value of Ordinary Annuity

C is the annuity payment deposited or received at the end of each period.

i= discount or interest rate per period

n= number of periods.

The factor with interest rate and the number of periods is multiplied by annuity payments

Part 3:

Present value of Annuity due

C is the annuity payment deposited or received at the end of each period.

i= discount or interest rate per period

n= number of periods.

The factor with interest rate and the number of periods less 1 is multiplied by annuity payments and then added again to the annuity payments

Example of Part 1 (Present Value)

What is $56000 in 5 years time worth now, at an interest rate of 10%?

Given:

2(3x - 1)

Let's distrubute 2 to the terms in the parenthesis.

To distribute, use distributive property to distribute 2 to (3x - 1).

Thus, we have:

2(3x - 1)

= 2(3x) + 2(-1)

= 6x + -2

= 6x - 2

ANSWER:

6x - 2

Answer:

Step-by-step explanation:

The mean is the sum of all the values in a set of data, divided by the number of values on the list.

Hence, the mean of Brian's math test scores:

The median is the middle number in a sorted, ascending or descending, list of numbers:

Arrange the data set from smallest to largest, if the number of data set is even, the median is the average of the two middle data points in the list.

Hence, the median is the average of 82 and 86:

Part (a)

The dependent variable should be y for a function y=f(x).

Therefore, in this case dependent variable is profit

Part (b)

The independent variable is number of tickets sold.

Part (c)

Consider two coordinates in the graph (40,60) and (20,30).

Then, the slope will be,

Therefore, the avlue of slope is 1.5.

Part (d)

The slope is the rate of change profif with repect to the number of tickets sold for a circus.

Part (e)

From the graph, it can be noted that the y intersept is 0. Because intitial point is (0,0).

Given that 5 6/4 x 8 9/6

Firstly, we need to convert the mixed fraction into improper fractions

Explanation

Question

60 is 24% of what number?

Let the number be n.

is represent = in mathematics

of represent x

60 is 20% of what number?

60 = 20% x n

Answer:

12$

Step-by-step explanation:

He borrowed 4$ for three months.

4 x 3 = 12.

Answer = 12.

Hope this helps!

(Brainliest would mean a lot to me, thanks!)

we have the phrase

fifteen occupant or less

Remember that the occupants can not be negative numbers

so

we have

seventy stadiums or more

the algebraic expression is

so

n=70,71,72,73,...

162.4736842 is 9261 divided by 57

Morgan uses the subtraction property of equality in step 5.

The subtraction property of equality describes the balancing of an equation by subtracting the same value on both sides of the equality.

There is also the addition property of equality which states adding the same number to both sides of the equality also balances an equation.

Given Morgan's work Step 1 - 6(x+5) = 25.

Step 2 - 6(x) + 6(5) = 25 .                          (Distributive property).

Step 3 -  6x + 30 = 25.

Step 4 -  6x + 30 - 30 = 25 - 30          (Subtraction property of equality)

learn more about the subtraction property of equality here :

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Looking at the graph of f(x), we can see that some values of y have two corresponding values of x.

Since the inverse function changes y with x and vice versa, there will be values of x that will have more than one corresponding value of y, this way it will not be a function.

In order to ensure that f(x) has an inverse function, we need a domain restriction that makes every value of y have only one corresponding value of x.

The domain restrictions that cause every value of y to have only one corresponding value of x are:

x >= -1

x <= -1

0 <= x <= 3

Therefore the correct options are the first, third and fourth options.

let

the two digit = xy

x= tens digit

y = ones digit

2x = y

2x - x =0

x = 0

There is 30 ‘g’s in the club by using proportions.

Mathematically compare two numbers by comparing them proportionally. In terms of proportion, two sets of given numbers are said to rise or decrease in the same ratio if they are directly proportionate to one another.

Two ratios are said to be in proportion when they are the same. For instance, a train needs to cover 250 kilometers in 5 hours if it is moving at a speed of 50 kilometers per hour. 250 km/5 hours at 50 km/h, for instance.

Given, for 5 ‘g’ there are 4 ‘b’

There are 24 ‘b’ in drama club,

g = 24/4×5

g=30

To know more about proportion, visit:

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The probability that among 4 randomly selected Internet​ users, at least one is more careful is 0.988.

Because of the bias toward convenience when retrieving the sample, the outcome might be higher. because respondents to the survey were chosen voluntarily, not at random.

Calculating the likelihood of an event occurring, which is represented as a number between 1 and 0, is the subject of the mathematical branch known as probability. A coin toss, for instance, has a probability of 1 because, assuming the coin lands flat, there are only two possible outcomes: "heads" or "tails."

This means that any event with this probability is guaranteed to occur. For instance, a coin toss has an equal chance of coming up "heads" or "tails," so an event with a probability of.5 can be regarded as having equal odds of happening or not happening.

According to the poll, 67​% of Internet users are more careful about personal information when using a public​ Wi-Fi hotspot.

Which means the probability of more careful is 0.67

And probability of not careful is: 1-0.67 = 0.33

We have selected four random Internet​ users and we need to find the probability that at least one is more careful about personal information.

P(At least one careful) = 1 - P(None of them careful)

P(At least one careful) = 1 - (0.33×0.33×0.33×0.33)

P(At least one careful) = 1 - 0.012

P(At least one careful) = 0.988

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Undersatanding number properties helps you to solve equation because we can transfom ans simplify any equation in a way we just have to add or rest numbers. for example when you go shopping and there is a sale or a promotion, knowing this properties would help you to get the best price.

Answer;

Explanation;

Here, we want to get the number of bacteria that will be present after 4 hours

What we have to do here is to substitute 4 for t in the equation of the model given

Mathematically, we have this as;

Step 1

Step 2

Find how many chips Taylor made or lost during these 3 rounds.

Since the total number of chips made or lost = -15, then Taylor lost 15 chips during the 3 rounds. If it where to be positive, then it woud have ment Taylor won some chips.

Therefore, Taylor lost 15 chips in the 3 rounds

Student did not provided any picture and became unresponsive.

Answer:

14 ft

Step-by-step explanation:

Area is length times width. So, you need to find something times 10 that equals 140. Or, you could just do 140 divided by 10. 140/10=14.

The function can be split in 2 straight lines: the first one from x = 2 to the left, and the other one from the same point to the right.

Now, a straight line equation is of the form

Where a is the slope and m is the y-intercept.

"Left" line:

- m (y-intercept):

To find it we need to see where the line cross (intercepts) the y-axis. From the figure we can see that m = -2.

- a (slope):

To calculate the slope, we can use the following equation:

Where, chossing 2 points in the line, we have:

Look that for x we have to move to the right. Let's see a drawing:

In our case, we can take the points (0, -2) and (2, 4), so, we have:

So, we have the equation for the "left" line:

-"Right" line:

- m (y-intercept):

In this case we can not see where the line cross (intercepts) the y-axis. Let's leave this for latter.

- a (slope):

As we did before, we can pick to points on the line, like (3, 1) and (2, 4).

- m (y-intercept) continues:

We now know that the equation for this line is:

To find m, we can pick one single point and solve for that variable. For example, taking the point (2,4), we have:

And so, for the right line, we have:

Finally, the equation of the function can be written as:

Now, the domain of the function is the set of points (or numbers) for which the function has values. The set of departure. In this case, all the numbers can be "trasnformed" or mapped with this function, so the domain is all the numbers, the set of real numbers, R:

Answer:

the answer is 8115

Step-by-step explanation:

you do 9 times 34 which is 306. then u do 7754 minus 306 which is 7448. then u add 667 to that which is 8115.

Given :

Cody's rent is increasing by $51 per month starting next year.

That is an increase of 15% from his current rent.

Let the current rent = r

so, the increase = 15% of r = 0.15r

So, the equation that represent the situation is :

Solve for r :

So, the current rent = $340

The rent for the next year = 340 + 51 = $391