If its even the f(x) = f(-x)
f(-x) = -x ((-x)^3 + x) = x^4 - x^2
f(x) = x^4 - x^2
So the function is even
Answer:
Sam sokey 0.5 hours biking and 3.5 hours walking
Step-by-step explanation:
Here, we want to know the number of hours spent walking and biking
Mathematically; distance = speed * time
Let the number of hours spent walking be x and the number of hours spent biking be y
Mathematically;
x + y = 3 •••(i)
distance spent walking = 4 * x = 4x miles
distance spent biking = 12 * y = 12y miles
4x + 12y = 20
divide through by 2
2x + 6y = 10 ••••••(ii)
From i , x = 4-y
Substitute this into ii
2(4-y) + 6y = 10
8 - 2y + 6y = 10
8 + 4y = 10
4y = 10-8
4y = 2
y = 2/4 = 0.5 hours
The number of hours spent walking = 4-0.5 = 3.5 hours
Answer:
60 degrees
Step-by-step explanation:
C = 2(pi)r
The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.
C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm
The length of the arc of the sector is 12.56 cm.
We can find the fraction this length is of the full circumference.
(12.56 cm)/(75.36 cm) = 1/6
The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.
That means the angle of the sector is 1/6 the angle of an entire circle.
An entire circle has a central angle of 360 degrees.
1/6 * 360 degrees = 60 degrees
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Answer: 
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Given: 
Find: 
Solution: We need to plug in the value -2 into every variable x that we have in the expression and simplify to get the solution.
<u>Plug in the values</u>
<u>Simplify</u>
- <u />
Therefore, the ordered pair that would match would have a x-coordinate of -2 and a y-coordinate of 4 producing (-2, 4) which matches option A.
3x^2-5x-24=0
3x^2-5x=24
x^2-5x/3=8
x^2-5x/3+25/36=8+25/36
(x-5/6)^2=313/36
x-5/6=±√(313/36)
x=5/6±√(313/36)
x=(5±√313)/6
p=(5+√313)/6
q=(5-√313)/6
