For the first one you need to do
x+2+x+2+2x+4+2x+4
=6x+12
When doing this kind of problem you should use FOIL
First, Outer, Inner, Last
(x+2)(2x+4)
First- x•2x= 2x^2
Outer- x•4= 4x
Inner- 2•2x= 4x
Last- 2•4= 8
Combined you have
=2x^2+8x+8
Answer:
5 terms
to the fourth degree
leading coeff of 1
3 turning points
end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)
x intercepts are (0,-4) (0,-2) (0,1) (0,3)
Relative min: (-3.193, -25) (2.193, 25)
Relative max: (-0.5, 27.563)
Step-by-step explanation:
The terms can be counted, seperated by the + and - in the equation given.
The highest exponent is your degree.
The number before the highest term is your leading coeff, if there is no number it is 1.
The turning points are where the graph goes from falling to increasing or vice versa.
End behaviour you have to look at what why does when x goes to -inf and inf.
X int are the points at which the graph crosses the x-axis.
The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.
A'B' and AB are equal in length because a rotation does change the length of a line segment it only changes it's position on the graph.
Answer: 12 pounds.
Step-by-step explanation:
To solve this question, we'll use the direct proportion which is.
y = kx
Where,
y = weight on moon = 48 pounds
x = weight on Earth = 300 pounds
k = Unknown
y = kx
48 = 300k
k = 48/300
k = 0.16
The weight that a 75 pound object on Earth would weigh on the moon will be:
y = kx
where,
y = weight on moon = Unknown
k = 0.16
x = weight on Earth = 75 pounds
y = kx
y= 0.16 × 75
y = 12 pounds
The weight on the moon will be 12 pounds.