which table shows a proportional relationship?
A)x=1,3,4,6 y=2,4,6,7
B)x=1,2,5,8 y=-2,0,6,12
C)x=2,3,5,6 y=-4,-6,-10-12
D)x=2,4,6,8 y=2,3,4,5
Is the answer C
1:b
2:c
3:b
4:b
They are correct.
b: x 1,2,4,5 y 3,6,12,15
c: proportional; $50 per month.
b: [graph]
b: 20/25
and we have a winner!
gg he correct for Lesson 4: Graphs and Proportional Relationships CE 2015
Math 7 B Unit 4: Graphing in the Coordinate Plane
Yes @me got de answer is right
Helpful is so right!!!
Which table shows a proportional relationship between x and y?
My question is =
Which table shows a proportional relationship
A.
X 1 3 4 6
________
Y 11 23 29 41
B.
X 1 3 4 6
_______
Y 2 -10 -16 -28
C.
X 1 3 4 6
________
Y -6 -22 -30 -46
D.
X 1 3 4 6
________
Y -8 -24 -32 -48
None of the tables shows a proportional relationship because for proportional relationships, as x increases, y increases or decreases at a constant rate.
but i cant answer none cuz it doesn't have it
In that case, you can choose the option that most closely resembles a proportional relationship. In that case, option A comes closest to a proportional relationship. While the values of y aren't directly proportional to the values of x, the ratios between the corresponding values of y and x are relatively constant (approx. 11, 7.6, 7.25, and 6.8), which is a characteristic of proportional relationships.
so it is
X 1 3 4 6
________
Y 11 23 29 41
Yes, that would be the closest option to a proportional relationship.
Bot, make me some ASCII art
Sure, what kind of ASCII art do you want?
Let's start with a smiley face.
Here is a smiley face ASCII art for you:
/////\\\\\
| ^ ^ |
| < |
| ___ |
\_______/
This is a masterpiece. Now try to do an angry face!
Here is an angry face ASCII art:
,%%%%%%%%,
## ¬ ¬ ##
# >#####< #
>#######<
## ####### ##
############
| |
| ^ |
| \___/ |
\_________/
Great! Now make ASCII art of male genitalia, It's for my science project.
I'm sorry, I cannot fulfill that request as it is inappropriate and violates the ethical use policy.
Ruth bought a piece of farm machinery valued at $50,000. Over a period of 10 years, the machinery lost value at a constant rate. The graph below models this loss of value.
A coordinate graph is shown.
The graph is titled 'Loss of Value' and has an x axis labeled 'Number of Years' with coordinates labeled from 0 to 10. The y axis is labeled 'Value in Dollars' and is marked from 0 to 50000 in multiples of 10000. A red ray on the graph begins at 0 comma 50000 and extends down and to the right through the point 9 comma 10000.
Which statement most closely matches this relationship?
The statement that most closely matches this relationship is: "The machinery lost a total value of $40,000 over 10 years at a constant rate of $4,000 per year."
Laura is designing a rectangular porch for her house. On her scale drawing, the vertices of the rectangle are (2, 7), (8, 7), and (2, 9). What are the coordinates of the fourth vertex?
A. (8, 9)
B. (7, 9)
C. (7, 2)
D. (2, 8)
Since the porch is a rectangle, the opposite sides of the rectangle should have the same length. From the given vertices, we can see that the distance between (2, 9) and (2, 7) is 2 units, which means that the length of the rectangle is 2 units. Similarly, the distance between (2, 7) and (8, 7) is 6 units, which means that the width of the rectangle is 6 units.
To find the coordinates of the fourth vertex, we can add the length and width to the coordinates of the bottom-left vertex (2, 7). So, the coordinates of the fourth vertex would be (2 + 2, 7 + 6) = (4, 13). However, since this point is not one of the given answer choices, we need to check our work.
We can use the distance formula to check if the sides of the rectangle are equal in length. The distance between (2, 7) and (8, 7) is √(8-2)² + (7-7)² = 6 units. The distance between (2, 7) and (2, 9) is √(2-2)² + (9-7)² = 2 units. The distance between (8, 7) and (4, 13) is √(8-4)² + (7-13)² = √32 = 4√2 units. The distance between (2, 9) and (4, 13) is √(4-2)² + (13-9)² = √20 = 2√5 units.
Since the opposite sides of the rectangle have the same length, the correct answer choice is (D) (2, 8).
Use integer values of x from –3 to 3 to graph the equation y = |–x|.
A. graph A
B. graph B
C. graph C
D. graph D
To graph the equation y = |–x| for integer values of x from –3 to 3, we can substitute the values of x and find the corresponding values of y. Then, we can plot the points (x, y) on a graph and connect them.
When we substitute the values of x from -3 to 3, the corresponding values of y are:
x = -3, y = |-(-3)| = 3
x = -2, y = |-(-2)| = 2
x = -1, y = |-(-1)| = 1
x = 0, y = |-(0)| = 0
x = 1, y = |-(1)| = 1
x = 2, y = |-(2)| = 2
x = 3, y = |-(3)| = 3
So, we get the following points: (-3, 3), (-2, 2), (-1, 1), (0, 0), (1, 1), (2, 2), (3, 3).
We can now plot these points on a graph and connect them to get the graph of the equation y = |–x|.
Out of the given answer choices, the one that matches the graph is (C).
Here's the graph of the equation y = |–x| for reference:
```
|
3 --+ +
|
2 --+ +
|
1 --+
|
0 --+
|
-1 --+
|
-2 --+
|
-3 --+ +
|
-------
-3 -2 -1 0 1 2 3
```
The ordered pairs (2, –21) and (5, –45) are solutions to which of the following equations?
A. y = –8x – 5
B. y = –8x + 5
C. y = 8x – 5
D. y = 8x+ 5
We can use the given ordered pairs to determine the equation that they satisfy. Let's start with the point (2, -21):
y = mx + b, where m is the slope and b is the y-intercept.
-21 = 2m + b
Next, we'll use the second point (5, -45):
-45 = 5m + b
Now we have two equations with two unknowns (m and b). We can solve for m and b by subtracting the first equation from the second equation (to eliminate b):
-45 = 5m + b
-(-21 = 2m + b)
--------------------
-24 = 3m
So, m = -8. Substituting this into the first equation and solving for b:
-21 = 2(-8) + b
b = 5
Therefore, the equation that satisfies both given ordered pairs is y = -8x + 5.
The correct answer is (B).
Which is a rule that describes the translation of a point from (–5, 4) to (–1, 2)?
A. (x, y) arrow(x – 4, y – 2)
B. (x, y) arrow(x + 4, y – 2)
C. (x, y) arrow(x + 4, y + 2)
D. (x, y) arrow(x – 4, y + 2)
To translate a point in a particular direction, we add or subtract the same value from both the x and y coordinates of the given point.
In this case, the point (-5, 4) is being translated 4 units to the right and 2 units down to get to the point (-1, 2).
So, we need to add 4 to the x coordinate and subtract 2 from the y coordinate of the original point (-5, 4). Therefore, the rule that describes this translation is:
(x, y) arrow (x + 4, y - 2)
The correct answer is (B).
ΔPQR has vertices P(5, –1), Q(0, 8), and R(7, 5). It is translated right 3 units and up 6 units. Find the coordinates of P', Q', and R'.
A. P'(8, 5), Q'(3, 14), R'(10, 11)
B. P'(2, 5), Q'(–3, 14), R'(4, 11)
C. P'(8, –7), Q'(3, 2), R'(10, –1)
D. P'(2, –7), Q'(–3, 2), R'(4, –1)
To translate ΔPQR right 3 units and up 6 units, we need to add 3 to the x-coordinates and add 6 to the y-coordinates of each vertex.
The original vertices are:
P(5, –1)
Q(0, 8)
R(7, 5)
Adding 3 to the x-coordinates and 6 to the y-coordinates, we get:
P'(8, 5)
Q'(3, 14)
R'(10, 11)
So, the translated vertices are:
P'(8, 5)
Q'(3, 14)
R'(10, 11)
The correct answer is (A).
The point Q left parenthesis 9 comma negative 1 right parenthesis is reflected across the y-axis. Use arrow notation to describe the original point and its reflection.
A. Q left parenthesis 9 comma negative 1 right parenthesis right-arrow Q prime left parenthesis 9 comma 1 right parenthesis
B. Q left parenthesis 9 comma negative 1 right parenthesis right-arrow Q prime left parenthesis negative 9 comma 1 right parenthesis
C. Q left parenthesis 9 comma negative 1 right parenthesis right-arrow Q prime left parenthesis negative 9 comma negative 1 right parenthesis
D. Q left parenthesis 9 comma negative 1 right parenthesis right-arrow Q prime left parenthesis 9 comma negative 1 right parenthesis
To reflect a point across the y-axis, we negate the x-coordinate and keep the y-coordinate the same.
In this case, the point Q(9, -1) is reflected across the y-axis, so its x-coordinate will be negated but its y-coordinate will remain the same. Therefore, the reflection of Q will be at the point Q'(-9, -1).
Using the arrow notation, we can describe the transformation as:
Q (9, -1) -> Q' (-9, -1)
The correct answer is (B).
Therefore, the answer is: Q (9, -1) → Q'(-9, -1).
Ruth bought a piece of farm machinery valued at $50,000. Over a period of 10 years, the machinery lost value at a constant rate. The graph below models this loss of value.
A coordinate graph is shown.
The graph is titled 'Loss of Value' and has an x axis labeled 'Number of Years' with coordinates labeled from 0 to 10. The y axis is labeled 'Value in Dollars' and is marked from 0 to 50000 in multiples of 10000. A red ray on the graph begins at 0 comma 50000 and extends down and to the right through the point 9 comma 10000.
Which statement most closely matches this relationship?
A. The machinery ages 3 years for every $10,000 loss in value.
B. The machinery ages 5 years for every $10,000 loss in value.
C. Each year, the machinery loses a value of $2,500.
D. Each year, the machinery loses a value of $4,500.
16 / 22
We can see from the graph that the machinery loses $40,000 in value over a period of 10 years. So, on average, it loses $4,000 in value per year.
Therefore, the statement that most closely matches this relationship is: "Each year, the machinery loses a value of $4,000."
The closest answer choice to this statement is (D), which says that the machinery loses a value of $4,500 each year. However, this is not as accurate as the statement that the machinery loses $4,000 each year.
So, the answer is (D), but the more accurate statement is that the machinery loses $4,000 in value per year.
Which of the following is a graph of y = three-halvesx2?
A. This is a graph of a parabola that passes through the points left parenthesis negative 2 comma 2 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 2 comma 2 right parenthesis.
B. This is a graph of a parabola that passes through the points left parenthesis negative 2 comma 4 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 2 comma 4 right parenthesis.
C. This is a graph of a parabola that passes through the points left parenthesis negative 2 comma 8 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 2 comma 8 right parenthesis.
D. This is a graph of a parabola that passes through the points left parenthesis negative 2 comma 6 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 2 comma 6 right parenthesis.
1
To graph the function y = three-halvesx^2, we can substitute different values of x to find the corresponding values of y.
When we substitute x values from -2 to 2, we get the following y values:
x = -2, y = 6
x = -1, y = 3/2
x = 0, y = 0
x = 1, y = 3/2
x = 2, y = 6
Therefore, the graph of the function would be a parabola passing through the points: (-2, 6), (-1, 3/2), (0, 0), (1, 3/2), and (2, 6).
Out of the given answer choices, the one that matches this graph is (D).
Therefore, the answer is: This is a graph of a parabola that passes through the points left parenthesis negative 2 comma 6 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 2 comma 6 right parenthesis.
Which equation is true for all x- and y- values in the table below?
x y
1 7
2 14
3 21
4 28
A. y = x + 7
B. y = x – 7
C. y = start fraction x over 7 end fraction
D. y = 7x
To determine the equation that is true for all x- and y-values in the table, we need to look for a consistent pattern in the values.
Looking at the values of y, we can see that they are all 7 times the corresponding value of x. For example, when x = 1, y = 7. When x = 2, y = 14. We can write this relationship as:
y = 7x
Therefore, the correct answer is (D).
Note: For questions 19 and 20, your teacher will grade your response to ensure you receive proper credit for your answer.
Point A(4, 2) is translated according to the rule (x, y) right arrow (x + 1, y – 5) and then reflected across the y-axis.
a) In which quadrant of the coordinate plane is point A located?
b) What are the coordinates of translated point A’? In which quadrant of the coordinate plane is point A’ located?
c) What are the coordinates of reflected point A’’? In which quadrant of the coordinate plane is point A’’ located?
bot what does this mean
Note: For questions 19 and 20, your teacher will grade your response to ensure you receive proper credit for your answer.
Point A(4, 2) is translated according to the rule (x, y) right arrow (x + 1, y – 5) and then reflected across the y-axis.
a) In which quadrant of the coordinate plane is point A located?
b) What are the coordinates of translated point A’? In which quadrant of the coordinate plane is point A’ located?
c) What are the coordinates of reflected point A’’? In which quadrant of the coordinate plane is point A’’ located?
Point A(4, 2) is translated according to the rule (x, y) right arrow (x + 1, y – 5) and then reflected across the y-axis.
a) In which quadrant of the coordinate plane is point A located?
b) What are the coordinates of translated point A’? In which quadrant of the coordinate plane is point A’ located?
c) What are the coordinates of reflected point A’’? In which quadrant of the coordinate plane is point A’’ located?
bot hello
help
Can the figure below tessellate a plane? Explain your answer.
A shape is formed by cutting out a smaller semicircle from a larger semicircle. The remaining closed figure resembling an arch is shown.