Answer:
3/16
Step-by-step explanation:
Answer:
Russell family's sprinkler: 40 hours
Gonzales family's sprinkler: 20 hours
Step-by-step explanation:
Let's call the amount of time the Russell family's sprinkler was on by X, and the Gonzales family's sprinkler by Y.
We can then formulate the equations:
X + Y = 60
X*35 + Y*40 = 2200
We can solve this system multiplying the first equation by 35, and then subtracting the result from the second equation:
35*X + 35*Y = 2100
5*Y = 100
Y = 20
from the first equation:
X + 20 = 60
X = 40
Russell family's sprinkler: 40 hours
Gonzales family's sprinkler: 20 hours
Answer: B
<u>Step-by-step explanation:</u>
In order to get the best representative sample, you should choose the widest range of students, which is from a random sample of all students.
(A) Choosing from only the 6th graders, eliminates the choices the other grade-level students would choose.
(C) Choosing only from students who participate in after-school activities, eliminates the choices the other students would choose.
(D) Chhosing only from students not participating in the fundraiser is silly since you want to know what the students participating in the fundraiser would choose.
The only possible option is B - students from all grades, regardless of whether or not they participate in after-school activities.
Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
The equation would be:
y = 3x + 15
1) Table: It is pretty easy to do so, just plug in 0, 1, 2, 3, etc. for x and solve for y
2) graph (find slope): slope would be 3 shells/day that has a y-intercept of 15
3) you already defined the variables
4) 3(5)+15 = 15+15 = 30 seashells
I hope this helps!