Javier rode his bike for a total of 40 minutes.
Let x be the minutes Javier ride after lunch
Let y be the minutes Javier ride before lunch
The number of minutes he rode after lunch is 4 times the number of minutes he rode before lunch
x = 4 y
The number of minutes he rode after lunch + number of minutes he rode before lunch = 40
x + y = 40
We know x= 4y
4y + y = 40
5y = 40
y = 8
x= 4y so x= 4(8) = 32
Javier ride 32 minutes after lunch
Answer:
[-4,0) ∪ [2, ∞)
Step-by-step explanation:
For piecewise function domain and range, we need to understand the difference between "(" and "[" or ")" and "]"
- The parenthesis ( "(" and ")" ) are used for "open circles" in the graph.
- The brackets ( "[" and "]" ) are use for "closed circles" in the graph.
Range is the set of y-values for which the function is defined.
Now,
The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be
[2, ∞) (infinity is always with parenthesis)
Now, looking at bottom part, the function is defined from 0 (open circle) to -4 (closed). so we can write:
[-4,0)
This is the range, 2nd answer choice is correct.
[-4,0) ∪ [2, ∞)
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
4x+y=17;4x−3y=−3
Step: Solve4x+y=17for y:
4x+y+−4x=17+−4x(Add -4x to both sides)
y=−4x+17
Step: Substitute−4x+17foryin4x−3y=−3:
4x−3y=−3
4x−3(−4x+17)=−3
16x−51=−3(Simplify both sides of the equation)
16x−51+51=−3+51(Add 51 to both sides)
16x=48
16/x = 48/16
(Divide both sides by 16)
x=3
Step: Substitute 3 for x in y=−4x+17:
y=−4x+17
y=(−4)(3)+17
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
This can be done easily if you choose a different probability.
Find the chance that none of the 5 graduates find a job.
For one student that is 100%-62%=38%
This has to happen for all 5 students, that is P=(0,38)^5=0,008 (rounded)
This is the chance that none of the 5 students finds a job. All of the above cases at least one finds a job.
That is 1-0,008=0,992 (rounded)
36, so that way each edge would be 6 in.
