Answer:
R = { 8, 2, 18}
Step-by-step explanation:
The range of the function is the set of function values or y-values. To find them, substitute the values x = -2, 1, and 3 into the function.
k(n) = 2n^2
k(-2) = 2(-2)^2
k(-2) = 2(4) = 8
k(n) = 2n^2
k(1) = 2(1)^2
k(1) = 2(1) = 2
k(n) = 2n^2
k(3) = 2(3)^2
k(3) = 2(9) = 18
The range is R = { 8, 2, 18}.
Answer:
<u>The answer is m = 5</u>
Step-by-step explanation:
Let's solve the proportional equation, this way:
3/m-2 = 7/m+2
3 * (m + 2) = 7 * (m - 2) [Lowest common denominator (m + 2) * (m - 2)]
3m + 6 = 7m - 14
-4m = -14 - 6 (Like terms)
-4m = -20
m = -20/-4
m = 5
<u>The answer is m = 5</u>
Answer:
y=4√3 units
Step-by-step explanation:
Hi there!
We are given ΔABC, which is a right triangle (m<C=90°), m<A=60°, AB=8, and BC=y
We need to find the value of y (BC)
The side AB is the hypotenuse of the (the side opposite from the right angle).
BC is a leg, which is a side that makes up the right angle.
Now, if we have a right triangle that has one of the acute angles as 60°, the side OPPOSITE from that 60° angle (in this case, BC) is equal to
, where a is the length of the hypotenuse
Since we have the hypotenuse given as 8, the length of BC (y) is
, or 4√3
so <u>y=4√3 units</u>
Hope this helps!
Answer:
Option 3
Step-by-step explanation:
y=3+x is a straight line that runs through y=3 and x=-3
So your 3rd option here is the one.
Answer:
37 1/2
Step-by-step explanation:
multiply the two numbers if their is an “of” in the statement