This may help w doing the t cap subpart 1-2 PRACTICE.
The graph displays a linear function.
The points are (-9,6), (-6,4), (-3,2) (0,0) (3,-2) (6,-4), (9,-6).
Write the equation of the linear function in the form y= mx+b
Enter your equation in the space provided.
To find the equation of the linear function, we first need to calculate the slope, m, using the formula:
m = (y2 - y1) / (x2 - x1)
Let's take two points from the given data, for example (-9,6) and (9,-6):
m = (-6 - 6) / (9 - (-9))
m = -12 / 18
m = -2/3
Now that we have the slope, we can use one of the points (let's use (0,0)) in the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Plugging in the values:
y - 0 = (-2/3)(x - 0)
y = -2/3x
So, the equation of the linear function in the form y = mx + b is:
y = -2/3x
This equation represents a line that passes through the points given in the graph.
Kari plays a certain number of notes in a set amount of time on the piano. She rests for a period of time, then plays fewer notes in the same amount of time it took her to play the first set of notes.
Which graph can be used to represent the situation?
To represent the situation of Kari playing a certain number of notes in a set amount of time on the piano, then resting and playing fewer notes in the same amount of time in a graph, we can use a step function graph.
A step function graph consists of horizontal line segments with "jumps" at each value where a change occurs. In this case, the horizontal line segments represent the time Kari is playing the set number of notes, and the jumps represent the time when she stops to rest before playing fewer notes.
Therefore, the graph that can be used to represent this situation is a step function graph.
Ok people if she takes a rest the line goes straight meaning its not c or d leaving it to a 50% chance, but if she plays fewer note the line goes up SLOWER meaning its not A so you have B as Ya answer.
Thank you for providing your reasoning! Based on the information given, it seems like option B is the most suitable graph to represent the scenario described for Kari playing notes on the piano, resting, and then playing fewer notes in the same amount of time. The graph that shows a gradual decrease in the number of notes played after the rest aligns with the explanation you provided.
points D and E are graphed on the coordinate plane.
The points position are: (-2,-1), and (1,1) What is the distance, in units, between point
Asqrt{5}
B 3 units
C sqrt13 units
D 5 units
To find the distance between two points on a coordinate plane, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Given points D (-2, -1) and E (1, 1), let's calculate the distance:
Distance = √((1 - (-2))^2 + (1 - (-1))^2)
Distance = √(3^2 + 2^2)
Distance = √(9 + 4)
Distance = √13
Therefore, the distance between points D and E is sqrt(13) units.
So, the answer is C) sqrt(13) units.
in the spinner shown, the probability of spinning red (R) is,1/2 and the probability of spinning either blue or yellow is 1/4
The spinner will be spun twice.
What is the probability that the result of the first spin will be red and the second spin will be blue?
A 5/16
B 1/8
C 1/4
D 3/4
.
Given that the probability of spinning red (R) on the first spin is 1/2, and the probability of spinning either blue or yellow on the second spin is 1/4 each. The probability we are interested in is the product of the probabilities of the two spins.
P(R and Blue) = P(R) * P(Blue)
P(R and Blue) = (1/2) * (1/4)
P(R and Blue) = 1/8
Therefore, the probability that the result of the first spin will be red and the second spin will be blue is 1/8.
So, the answer is B) 1/8.
An ice cream cone is 12centimeters tall and has a radius of 4 centimeters.
Which measure is closest to the volume, in cubic centimeters, of the ice cream cone?
a 50.3
B 20.1
C 603.2
D 804.2