Consider the figure above. Starting with the shape in the upper left, identify the figure that has been: -Translated only. -Rotated and translated. -Reflected about the x-axis.
Consider the figure above. Starting with the shape in the - 1

Answers

Answer 1
Answer:

The figure which is rotated and translated correctly about the x-axis is figure a.

What is graph?

The graph of a function f is that the set of ordered pairs, where\f(x)=y. within the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

How to form graph of function?

We have been given four graphs of a function and first function has coordinates (-5,7) (-2,6) (-7,4) (-4,1) and that we must identify correct reflected graph.

The coordinates of a pure reflected graph are going to be (4,7) (2,4) (5,1) (7,6) which are the coordinates of figure a which is in first quadrant.

Hence the proper reflected graph of function having coordinates (-5,7) (-2,6) (-7,4) (-4,1) is that the graph of coordinates (4,7) (2,4) (5,1) (7,6).

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Answer 2
Answer:

Answers:

Figure a has been translated only (translated 9 units to the right)

Figure b has been reflected over the x axis

Figure c has been rotated and translated

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Explanation:

Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.

Figure b is a result of reflecting over the x axis. The rule used is (x,y) \to (x,-y). The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)

Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.


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In the function f(x)=(x-2)^2+4, the minimum value occurs when x is

Answers


The graph of the function is a parabola. 

The nose comes down as far as y=4 but no farther.

That happens when  (x - 2)² = 0 , and THAT happens when x = 2 .

f(x) = (x - 2)² + 4
f(x) = (x - 2)(x - 2) + 4
f(x) = (x(x - 2) - 2(x - 2)) + 4
f(x) = (x(x) - x(2) - 2(x) + 2(2)) + 4
f(x) = (x² - 2x - 2x + 4) + 4
f(x) = (x² - 4x + 4) + 4
f(x) = x² - 4x + 4 + 4
f(x) = x² - 4x + 8

x = -(b)/(2a) = -(-4)/(2(1)) = -(-4)/(2) = -(-2) = 2

Solve for x: |2x + 12| = 18

Answers

|2x + 12| = 18

First, break down the problem into 2 equations . / 2x + 12 = 18 and -(2x + 12) = 18
Second, solve the first equation. / 2x + 12 = 18
Subtract 12 from both sides. / 2x = 18 - 12
Subtract 18 - 16. / 2x = 6
Divide both sides by 2. / x =  (6)/(2)
Simplify. / x = 3
Third, solve the second equation. / -(2x + 12) = 18
Simplify your brackets. / -2x - 12 = 18
Add 12 to both sides. / -2x = 18 + 12
Add 18 + 12. / -2x = 30
Divide both sides by -2. / x =  (30)/(-2)
Simplify. / x =  -(30)/(2)
Simplify. / x = -15
Fourth, collect the solutions. / x = -15,3

Answer: x = -15, 3


In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44?

Answers

Answer:

d=(7)/(22)* 154=49

Step-by-step explanation:

Let circumference be C and diameter be d.

In a circle, the circumference and diameter vary directly that is

                   C = kd

You know that in a second circle the diameter is 14 when the circumference is 44.

                  C = kd

                   44 = k x 14

                    k=(44)/(14)=(22)/(7)

Circumference of unknown diameter circle = 154

                   154=(22)/(7)d\n\nd=(7)/(22)* 154 = 49

d=kC 
Plug in what we know and solve for k: 
14=k(44) 
k=14/44 

so 
d=(14/44)(154) 
x=49 

Why is investing in the stock market riskier than saving cash or bond investments? Describe one way to mitigate, or lessen, that risk.

Answers

Risks associated with a stock market were discussed and ways to mitigate those risks were also discussed.

What is a stock market?

Stock markets are venues where buyers and sellers meet to exchange equity shares of public corporations.

Investing in the stock market is riskier than saving cash or bond investments because the stock market completely depends on the performances of corporations. If the performance of a company is not good, each and every shareholder has to bear the consequences.

The way to mitigate this risk is to study the past performances of a company and to know to the current status of that company, its relations with other companies, market demands etc.

Hence, Risks associated with a stock market were discussed and ways to mitigate those risks were also discussed.

To get more about the stock market visit:

brainly.com/question/690070

If the company performs badly, or there's a perception it does so, then the stock's value will go down and you'll lose money. The only way to earn money from stocks is if the company is able to be innovative and survive the competition. The worst case scenario is that you lose all your money if the company goes bankrupt.

To reduce the risk, you should diversify your investments so that you invest in multiple companies along multiple sectors of the economy. This spreads out the risk so that if one company fails, then its unlikely they all fail (assuming there isn't some catastrophic event in the market). Alternatively, you can invest with mutual funds or index funds to let other people/entities invest your money with a range of diverse companies.

Rounak has 4 packs of 12 glitter pens. She has 7 packs of 8 scented pens. She gives her friend a pack of glitter pens in exchange for a new pack of scented pens. How many pens does Rounak have now?​

Answers

Answer: Rounak has 100 pens now.

Analyze the figure shown.*label all the coordinates
Part A: Determine the perimeter of the composite figure. Round to the nearest tenth, if
necessary
Part B: Determine the area of the composite figure. round to the nearest tenth if necessary

Answers

Answer:

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