Which of the following sets of ordered pairs represents a function?
A: {(−4, −3), (−2, −1), (−2, 0), (0, −2), (0, 2)}
B: {(−5, −5), (−5, −4), (−5, −3), (−5, −2), (−3, 0)}
C: {(−4, −5), (−4, 0), (−3, −4), (0, −3), (3, −2)}
D: {(−6, −3), (−4, −3), (−3, −3), (−2, −3), (0, 0)}
Answer:
A set of ordered pairs represents a function if each input (first coordinate) corresponds to one and only one output (second coordinate). In other words, there can't be two different second coordinates for the same first coordinate.
Using this definition, we can determine which of the sets of ordered pairs represents a function:
A: {(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
The input -2 has two different outputs (-1 and 0), and the input 0 also has two different outputs (-2 and 2). Therefore, this set does not represent a function.
B: {(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3, 0)}
The input -5 has four different outputs (-5, -4, -3, and -2), but each of the other inputs has only one output. Therefore, this set does not represent a function.
C: {(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
The input -4 has two different outputs (-5 and 0), but each of the other inputs has only one output. Therefore, this set does not represent a function.
D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
Each input has only one output, so this set represents a function.
Therefore, the set of ordered pairs that represent a function is D: {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
Jaden made a rectangular sign that is 1.4 meters long and 1.2 meters wide to post on the wall of his store. How many square meters of wall does the sign cover? The answer is 1.68, but to solve the problem, you need to find 1.4 x 1.2(which it is 1.68). Estimate the area of wall that the sign will cover. Explain your thinking please.
The length of a rectangle swimming pool is 3 1/4 yards. If the area is 9 3/4 square yards, what is the width of the swimming pool?
A- 3 yards
B- 31 11/16 yards
C- 6 1/2 yards
D- 2 3/4 yards
Answer:
Let's start by using the formula for the area of a rectangle:
area = length x width
We know that the length is 3 1/4 yards and the area is 9 3/4 square yards, so we can substitute those values in and solve for the width:
9 3/4 = (13/4) x width
To isolate the variable, we can multiply both sides by the reciprocal of 13/4, which is 4/13:
(9 3/4) x (4/13) = (13/4) x (4/13) x width
3 = width
Therefore, the width of the swimming pool is 3 yards, which is option A.
graph f(x)=|x+1|+3 then find the domain and range
mainly looking at how id find the coordinates!
Domain is all real numbers. Range is
Step-by-step explanation:
The function is a transformation of the parent function by moving the function up by 3 units.
So, the graph of the function is shown below.
From the graph, it is clear that the values has no limitation and hence can take any real values. Domain is the set of all possible values.
So, domain is the set of all real numbers.
Range is the set of all possible values for for the given domain.
From the graph, the minimum value of is at the point (. So, the minimum value of y is 3. The value then goes on increasing towards infinity.
Therefore, range is a real number greater than or equal to 3.
So, range is or
A prism is completely filled with 540 cubes that have edge length of 1/3 cm.
What is the volume of the prism?
Answer: 20
Step-by-step explanation:Each little cube is 1/27 cm cubed. If you multiply by 540, you get 540/27. This equals 20.
Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?
Answer:
Step-by-step explanation:
Area of a square = length²
If the area of a square is given, in order to determine the length, find the square root of the area.
√16 / 36 = 4/6 foot
Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.
Determine the equation of the line of fit.
y = 5x + 60
y = 5x + 70
y = 10x + 60
y = 10x + 70
Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 90° counterclockwise.
A: U′(0, −2), V′(−1, −3), W′(−3, −3)
B:U′(0, −2), V′(1, −3), W′(3, −3)
C:U′(2, 0), V′(3, −1), W′(3, −3)
D: U′(−2, 0), V′(−3, 0), W′(3, −3)
PLS HELP ASAP WILL MARK BRAINLIEST
Triangle ABC ~ triangle DEF. Use the image to answer the question.
Answer:
3.3/11 = DF/7.6
DF = (3.3 × 7.6)/11 = 2.28
In the US, 42% of people have type A blood, 10% have type B, 4% have type AB, and 44% have type O. People with type Band type AB blood can receive type B blood. What percentage of people can receive transfusions of type B blood?
Answer: 14%
Step-by-step explanation:
10+4=14
Please help i'm so confused
Answer:
2/3
Step-by-step explanation:
because 1 1/2 x 2/3 = 2 1/4
Answer:
1 1/2 = 3/2
2 1/4 = 9/4
3/2 divided by 9/4 = 3/2 multiplied by 4/9 = 2/3
EXPLANATION : when we have 2 fractions and we have to divide them , we have to reverse the fraction that we are dividing by and multiply it. sometimes we can simplify the fractions , sometimes we can't. for example , with 3/2 multiplied by 4/9 we simplified 3 and 9 and the 2 and the 4 which left us with 1/1 ( 1 ) multiplied by 2/3 , which gave us the answer 2/3 .
Hope I helped!
Help pls answer and explain the question below (comes with pic)
The following scatter plot represents the scores of thirteen students on a geography test compared to the number of hours that each student studied for the test. Use the line of best fit to predict the score of a student who studied three hours for the test.
Answer:
95
Step-by-step explanation:
Looking at the graph, we can find the red line. The red line passes through the following coordinates (x,y): (0,65), (1, 75), (2, 85) and (3,95).
We know that x is the number of hours studied, and y is the score. If x=3, and y=95, then a student that studied three hours for the test will most likely score 95%.
Hope this helps! Good luck on your homework!
Five balls, A, B, C, D, and E, weigh 30g, 50g, 50g, 50g, and 80g each. Which ball weighs 30g?
Answer:
A weighs 30 because it is always on the higher side
Can someone help me and answer this