Answer:
(2,16)
Step-by-step explanation:
y=8x-----------(i)
y= 10x-4---------(ii)
Substituting the value of y=8x in equation (ii)
8x=10x-4
8x-10x=-4
-2x= -4
x=2
Now, substituting the value of x= 2 in equation (i)
y=8x=8(2)=16
Solution of the system is (2,16)
Answer:

Step-by-step explanation:
We want to evaluate the following limit.

We need to recall that, limit of a sum is the sum of the limit.
So we need to find each individual limit and add them up.

Recall that, as
and the limit of a constant, gives the same constant value.
This implies that,

This gives us,

The correct answer is D
(-y + 5a - 4) + (3y - a - 5) is simplified to 2y + 4a - 11
Answer:
n = 0.38 rotation per second
Step-by-step explanation:
The device rotates according to the mathematical equation :
...(1)
Where n is the rotational speed and is measured in rotations per second (s).
r is radius of the circulator and is measured in meters (m).
We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

Hence, the rotational speed is 0.38 rotation per second.
Answer:
19 and 16
Step-by-step explanation:
Let x and y be the two numbers
x+y = 35
x-y =3
Add the two equations together
x+y = 35
x-y =3
---------------
2x = 38
Divide by 2
2x/2 = 38/2
x = 19
Solve for y
x-y = 3
19-y = 3
Subtract 19 from each side
19-19 -y = 3-19
-y = -16
y =16