8) x represents the number of pounds of peanuts, and y represents the number of pounds of raisins
9)
Solve:
x+2y=9
-2y -2y
x=9-2y
2(9-2y) + 3y=14
18-4y+3y=14
-18 -18
-y=-4
y=4
x+2(4)=9
x+8=9
x=1
Vertical Angles: Theorem and Proof
Theorem: In a pair of intersecting lines the vertically opposite angles are equal. It can be seen that ray \overline{OA} stands on the line \overleftrightarrow{CD} and according to Linear Pair Axiom, if a ray stands on a line, then the adjacent angles form a linear pair of angles.
40/16 = 24/x
16*24 = 384
x = 384 / 40
x =9.6
it cast a shadow 9.6 feet long
? im sorry i cant help im still in middle school
Answer:
A.) Even.
Step-by-step explanation:
If a function is an even function, then
F(-x) = f(x)
Also, if a function is an odd function, then, f(-x) = -f(x)
You are given the below function
f(x) = 1 + 3x^2 − x^4
Let x = 2
Substitute 2 for x in the function
F(x) = 1 + 3(2)^2 - (2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Also, Substitute -2 for x in the function
F(x) = 1 + 3(-2)^2 - (-2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Since f(-x) = f(x), we can conclude that
F(x) = 1 + 3x^2 - x^4 is even