Answer:

Step-by-step explanation:
A function satisfying the equation
is said to be an even function. This denomination comes from the fact that the same relation is satisfied for functions of the form
with
even. Observe that if
is twice differentiable we can derivate using the chaing rule as follows:
implies 
Applying the chain rule again we have:
implies 
So we have that function
is also an even function.
Answer: y=7,x=3
Steps:
y = 2x + 1
3x + y = 16
Substitute y = 2x + 1
3x + 2x + 1 = 16
Simplify
5x+1=16
Isolate x for 5x + 1 = 16: x = 3
For y = 2x + 1
Substitute x = 3
y = 2 · 3 + 1
Simplify
y = 7
The solutions to the system of equations are:
y = 7, x = 3
Hope This Helps!
Angles 6 and 8 add up to equal 180, so 2x - 5 + x + 5 = 180. 3x = 180 so x = 60. Angle 3 is alternate interior to angle 6 which is 2(60) - 5 = 115, so angle 3 is also 115
Answer:
x = 7.5
Step-by-step explanation:
Since DF bisects ∠CDE then
∠EDF = ∠CDF, hence
8x = 4x + 30 ( subtract 4x from both sides )
4x = 30 ( divide both sides by 4 )
x = 7.5
Answer:
0.375
Step-by-step explanation: