The range of the function y = 4x + 2 where the domain is the set of all of
the positive even numbers less than 10 is {10, 18, 26, 34}
The given equation is:
y = 4x + 2
The domain is the set of all of the positive even numbers less than 10.
That is, x = {2, 4, 6 ,8}
To get the range, find the values of y for x = 2, 4, 6, and 8
For x = 2:
y = 4(2) + 2
y = 8 + 2
y = 10
For x = 4:
y = 4(4) + 2
y = 16 + 2
y = 18
For x = 6:
y = 4(6) + 2
y = 24 + 2
y = 26
For x = 8:
y = 4(8) + 2
y = 32 + 2
y = 34
Therefore, the range = {10, 18, 26, 34}
Learn more here: brainly.com/question/18479953
Answer:
Step-by-step explanation:
Assuming that the patio is a rectangle, we have
Where 
is the length and 
is the width.
Now let's assume that the length of the patio is double than the width.
So, the equation that represents this problem is
∈ ≤ ≥
-6 ≤ 2x + 6 ≤ 6 ( seperate the two inequalities)
2x + 6 ≥ - 6
2x + 6 ≤ 6 (solve the inequalities)
x ≥ -6
x ≤ 0 (find the intersection)
solution is : x ∈ { -6, 0 }
100 cm = 1 meter
<span>4.5 meter x 100 cm = 450 cm </span>
<span>450 cm / 4.5 cm = number of pieces of ribbon </span>
<span>450/4.5 = 100</span>
Well
It is in the form of a/b + b/a = (a sqr + b sqr)ab
Substitute
(Sin sqr theta + cos sqr theta) +2 cos theta + 1. 2 + 2cos theta
———————————————————————— = ————————-
Sin theta(1+cos theta). Sin theta (1 + cos theta)
2(1+ cos theta)/sin theta(1 + cos theta). {1 + cos theta cancelled}
2/sin theta. Hope it helps :}
