Step-by-step explanation:
The domain is x. The range is y (or in this case F(x)).
Plug in the numbers in the number set to get a number set for your y.
When the domain is -2:
f(-2) = 2(-2) + 4
f(-2) = -4 + 4
f(-2) = 0
When the domain is -2, the range is 0.
(-2 , 0)
When the domain is 0:
f(0) = 2(0) + 4
f(0) = 0 + 4
f(0) = 4
When the domain is 0, the range is 4.
(0 , 4)
When the domain is 3:
f(3) = 2(3) + 4
f(3) = 6 + 4
f(3) = 10
When the domain is 3, the range is 10.
(3 , 10)
Answer: Height = 20 inches
Width = 14 inches
Step-by-step explanation:
The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as
Volume = LWH
Where L,W and H represents the length, width and height of the box.
The aquarium holding African cichlids is 6 inches higher than it is wide. It means that
H = W + 6
Its length is 33 inches, and its volume is 9240 cubic inches. It means that
9240 = 33W(W + 6)
9240/33 = W(W + 6)
280 = W² + 6W
W² + 6W + (6/2)² = 280 + (6/2)²
(W + 3)² = 280 + 9 = 289
Taking square root of both sides, it becomes
W + 3 = √289 = 17
W = 17 - 3
W = 14
H = W + 6 = 14 + 6
H = 20
Answer:
d is 5
Step-by-step explanation:
d is 5
I think all you do is $32,000 / $8,000 which is $4,000.
Meaning $4,000 will be invested in each investment, I may be wrong though.
For cos(2x) * (2cos(x) + 1) = 0, use the double angle identity for cos(2x), which is cos^2 x - sin^2 x = cos^2 x - (1-cos^2) = 2cos^2 x - 1.
So we have (2cos^2 x - 1)(2cos x + 1) = 0. So 2cos^2 x -1 = 0 or x = 0 and 2pi.
For 2sec^2 x + tan^2 x - 3 = 0, use the identity sec^2 x = tan^2 x + 1, so we have
2(tan^2 x + 1) + tan^2 x - 3 = 0 or
<span>2tan^2 x + tan^2 x - 1 = 0 or
</span>3 tan^2 x = 1.
So x = pi/2, pi/2 + pi = 3pi/2.
