Answer:
2√10
Step-by-step explanation:
√40 = √(4*10) = √4 * √10 = 2√10
Answer: THE GRAPH IS ATTACHED.
Step-by-step explanation:
We know that the lines are:
Solving for "y" from the first line, we get:
In order to graph them, we can find the x-intercepts and the y-intercepts.
For the line the x-intercepts is:
And the y-intercept is:
For the line 
the x-intercepts is:
And the y-intercept is:
Now we can graph both lines, as you can observe in the image attached (The symbols 
and 
indicates that the lines must be dashed).
By definition, the solution is the intersection region of all the solutions in the system of inequalities.
Answer:
Step-by-step explanation:
If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points. Suppose we use (-4, 3) and (0, 1):
As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2. Hence, the slope of this lilne is m = rise/run = -2/4, or m = -1/2.
Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:
1 = (-1/2)(0) + b, or b = 1. Then the desired equation is y = f(x) = (-1/2)x + 1
All you have to do is substitute all the Xs to and get a final y output.
for example:
if we take the number x is -1 all you do is:
y=-4(-1)+2
y=4+2
y=6
thats the first one done
Answer:
domain is x = 3
Thus domain means that for every fruit cup costs $3
Range is f(20) = 60
Step-by-step explanation:
We are given;
Total students for the fruit cup party = 18
Total teachers for the fruit cup party = 2
Cost of each fruit cup =$ 3
Delivery charge = $ 10
Now, the total number of people attending the party = Total number of students + Total number of teachers
Thus;
Total number of people attending party = 18 + 2 = 20
Since cost of each fruit cup is $3.
Thus, for 20 fruit cups, the function is;
f(x) = 20x where x is cost of each fruit cup.
It means the cost of 20 fruit cups = $3 × 20 = $60
Thus, domain is x = 3
Thus domain means that for every fruit cup costs $3
Range is f(20) = 60
