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marin [14]
3 years ago
5

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.5,

2). The finishing point will be at (2, −5.5).
Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)

Part B: A checkpoint will be at (5.5, 2). In at least two sentences, describe the differences between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0
A) the starting point is in quadrant Q because the x-value is negative, while the y-value is positive. The finishing point is in quadrant S because the x-value is positive, while the y-value is negative.
B) The points are connected by a straight line, so you don't have to wander off. By the way, the checkpoint is in Quadrant P.
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Suppose an economy experiences an increase in unemployment across all industries. What is the result of this increase in unemplo
Nastasia [14]

Production would take place at a point inside the production possibility frontier

The Production possibilities curve is a curve that shows the various combination of two goods a company can produce when all its resources are fully utilised.  

The PPC is concave to the origin. This means that as more quantities of a product is produced, the fewer resources it has available to produce another good. As a result, less of the other product would be produced. So, the opportunity cost of producing a good increase as more and more of that good is produced.

Points inside the production possibilities curve means that the nations resources are not being fully utilised

When the unemployment rate increases, it means that labour resources are not been fully utilized. As a result, production would take place at point inside the production possibilities curve

Point outside the curve or to the right of the curve means that the production level is not attainable given the level of resources

Learn more about the production possibility curve here : brainly.com/question/12047178?referrer=searchResults

6 0
2 years ago
Function g is a transformation of the parent function f(x) = x2. The graph of g is a translation right 5 units
Allisa [31]

Answer:

  C.  y = x^2 -10x +26

Step-by-step explanation:

The translated function is ...

  g(x) = f(x - right) + up

  g(x) = f(x -5) +1

  g(x) = (x -5)^2 +1

  g(x) = x^2 -10x +26

In "y =" form, this is ...

  y = x^2 -10x +26 . . . . matches choice C

6 0
3 years ago
5/9 divided 15 in simplest form
mihalych1998 [28]

\bf \cfrac{5}{9}\div 15\implies \cfrac{5}{9}\div \cfrac{15}{1}\implies \cfrac{5}{9}\cdot \cfrac{1}{15}\implies \cfrac{1}{9}\cdot \cfrac{5}{15}\implies \cfrac{1}{9}\cdot \cfrac{1}{3}\implies \cfrac{1}{27}

8 0
3 years ago
PERSEVERE Find the values of x and y,
Vlad [161]

y² = 8y - 15 (alternate angles are equal)

y² - 8y + 15 = 0

(y - 5)(y - 3) = 0

y = 5 or 3

x + 8y - 15 = 180 (angles in a straight line add up to 180)

when y = 5

x + 40 - 15 = 180

x = 155°

when y = 3

x + 24 - 15 = 180

x = 171°

8 0
3 years ago
A loaded 8-sided die is loaded so that the number 4 occurs 3/10 of the time while the other numbers occur with equal frequency.
Law Incorporation [45]

Answer:

4.4

Step-by-step explanation:

The sum of the probabilities of all possible outcomes is 1.

As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.

Create a probability distribution table for X, where X is the score on the loaded 8-sided die:

\begin{array}{ | c | c | c | c | c | c | c | c | c |}\cline{1-9}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\cline{1-9} & & & & & & & &\\ \text{P}(X=x) & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{3}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10}\\& & & & & & & &\\\cline{1-9}\end{array}

Add a product row and a totals column:

\begin{array}{ | c | c | c | c | c | c | c | c | c | c |}\cline{1-10}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 &\text{Total} \\ \cline{1-10} &&&&&&&&& \\ \text{P}(X=x) & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{3}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & 1\\ &&&&&&&&&\\ \cline{1-10} &&&&&&&&&\\\text{Product} & \frac{1}{10} & \frac{2}{10} & \frac{3}{10} & \frac{12}{10} & \frac{5}{10} & \frac{6}{10} & \frac{7}{10} & \frac{8}{10} & \frac{44}{10} \\ &&&&&&&&&\\\cline{1-10}\end{array}

(The Product is row is the product of the <u>score on the die</u> and <u>its probability</u>).

The expected value (EV) is the sum of the product of each outcome and its probability.  

Therefore, the expected value (EV) of this die is 44/10 = 4.4

6 0
2 years ago
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