1)
2(3x-5)
Use the distributive property.
2(3x)+2(-5)
6x-10
That is not equal to 6x-8.
2)
2-2+5x
Simplify the like terms, 2 and -2
Add them together, 0
5x=5x the two expressions are equal
3)
2x+8 because there are x stickers in a pack
2(4+x)=2(4)+2(x)=8+2x=2x+8
Yes they are the same expressions.
It could basically be anything smaller than -3. So, some examples are -4,-5-,-6,-7,-8,-9,-10, and so on.
Answer:
The answer to your question is A.
Step-by-step explanation:
Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
Answer:
f(-x) = -4x^3 + 9x, f(x) is an odd function
Step-by-step explanation:
We are given that f(x) = 4x^3 - 9x. In order to solve this problem, we first need to understand what an odd function is and what an even function is. When we have an odd function, f(-x) = -f(x). Meaning, that if we plug -x in for x, we should get -f(x). On the other hand, with an even function, f(-x) = f(x). Even if you change the sign, when you simplify, you will get back the same function. In either case, we have to first find f(-x) to figure this problem out:
We can see from our answer for f(-x) that it is equal to -f(x). We can verify this below:
Since f(-x) = -f(x), our function f(x) is an odd function