Answer:
Pat a) The graph in the attached figure
Part b) ![y=(4/3)x-5](https://tex.z-dn.net/?f=y%3D%284%2F3%29x-5)
The slope is ![m=(4/3)](https://tex.z-dn.net/?f=m%3D%284%2F3%29)
The y-coordinate of the y-intercept is ![b=-5](https://tex.z-dn.net/?f=b%3D-5)
Step-by-step explanation:
Part a) Which line represents the linear equation
?
To graph the linear equation find the intercepts
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
![-3y=15-4(0)](https://tex.z-dn.net/?f=-3y%3D15-4%280%29)
![-3y=15](https://tex.z-dn.net/?f=-3y%3D15)
![y=-5](https://tex.z-dn.net/?f=y%3D-5)
The y-intercept is the point ![(0,-5)](https://tex.z-dn.net/?f=%280%2C-5%29)
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
![-3(0)=15-4x](https://tex.z-dn.net/?f=-3%280%29%3D15-4x)
![4x=15](https://tex.z-dn.net/?f=4x%3D15)
![x=15/4=3.75](https://tex.z-dn.net/?f=x%3D15%2F4%3D3.75)
The x-intercept is the point ![(3.75,0)](https://tex.z-dn.net/?f=%283.75%2C0%29)
Plot the intercepts to graph the linear equation
see the attached figure
Part b) Rewritten in slope-intercept form
we know that
The equation of the line into slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where
m is the slope
b is the y-coordinate of the y-intercept
we have
![-3y=15-4x](https://tex.z-dn.net/?f=-3y%3D15-4x)
convert to slope intercept form
isolate the variable y
![3y=4x-15](https://tex.z-dn.net/?f=3y%3D4x-15)
![y=(4/3)x-5](https://tex.z-dn.net/?f=y%3D%284%2F3%29x-5)
The slope is ![m=(4/3)](https://tex.z-dn.net/?f=m%3D%284%2F3%29)
The y-coordinate of the y-intercept is ![b=-5](https://tex.z-dn.net/?f=b%3D-5)
Answer:
18 students are likely to be wearing red
Step-by-step explanation:
From the question, we know a student either wears red , or blue, with the probability of a student wearing red is 3 times more probable than wearing white.
So, let’s say out of the 24 students, x of them are wearing white. What this practically mean is that 3 * x = 3x of the students would be expected to be wearing red.
Now, adding the number of people wearing red and white together in terms of x, we have x + 3x = 4x
We equate this to 24; 4x = 24 and x = 24/4; x = 6
The number wearing red probably is 3 * x = 3 * 6 = 18 people
Answer:
3600
Step-by-step explanation:
12x5=60 (1 hour)
300x12=3600
x= 5
12 squared + b squared = 13 squared
144+ b squared = 169
b squared = 25
b squared= √25
b=5
Answer:
1. Four one dollar bills, two quarters, and two pennies.
2. Four one dollar bills, one quarter, two dimes, one nickel, and two pennies.
3. Four one dollar bills, one quarter, one dime, three nickels, and two pennies.