Answer:
$R = $500 + $15(t)
Step-by-step explanation:
in this question, we are told to give a mathematical expression that would model the amount of money that is made by Hillel.
from the question, we were made to understand that the amount of money he makes is a front of his time t. that is noted.
and also, he has a base cost of $500.
now, let’s write an equation;
R = $500 + 15(t)
where t represents the length of the performance as suggested by women
Answer:
(a) 
(b) 
Step-by-step explanation:
Take 
of of each term.
For Question a
Given that x = 3, y = 4, and dx/dt = 5.
For Question b
Given that x = 4, y = 3, and dx/dt = -5.
Answer:
Point B is 4 units to the right and 2 units down
Step-by-step explanation:
Since our <em>x</em> is positive, we are going to the right of the x-axis (where positive values lay).
Since our <em>y</em> is negative, we are going down in the y-axis (where negative values lay).
-3x + y - 2z = 10 |* -1
3x - y +2z = -10
5x -2y -2z = 12
--------------------------- I add these equations term by term
8x - 3y = 2
-3x + y - 2z =10 ⇒ -3x + y - 2z =10
x -y +z = 23 | *2 2x - 2y + 2z = 46
----------------------------- I add these eq.
-x -y = 56
8x - 3y = 2
-x -y = 56
this is the system after i reduce it ( it has only two variables x and y)
Answer: Last option.
Step-by-step explanation:
Observe the diagram.
The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:
You know the lenght of the side WZ. This is:
Notice that:
Now, you must find the lenghts of the sides WX and YZ (
)
Observe that WZ goes from 2 to -2, therefore its lenght is:
Therefore, substituting values, you get that the perimeter of the paralellogram is:
