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3 years ago

Help me please! Posting a lot of them lol!

Mathematics

1 answer:

Vaselesa [24]3 years ago

3 0

Answer:

2n -4

Step-by-step explanation:

n+8 + n-12

Combine like terms

n+n+ 8-12

2n -4

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What multiplication expression is equal to 3/4 divided by 1/3

kakasveta [241]

Answer:

3 * 3

4 1

Step-by-step explanation:

To convert division problems with fraction into multiplication problems use the KCF rule

Keep the 1st Fraction the same
Change the division sign to a multiplication sign
Flip the fraction (reciprocal)

5 0

3 years ago

melisa1 [442]

Answer:

209 inches

Step-by-step explanation:

95% of 220 is 209 inches so therefor it would be 209 inches.

6 0

3 years ago

Write the expression that shows "3 times the sixth power of 10."

photoshop1234 [79]

Answer:

$10^6^*^3\\\\or\\\\10^1^8$

Step-by-step explanation:

the 6th power of 10 would be 10^6, then you'd multiply it by 3 which would make it 10^6*3

you could then simplify it and say 10^18 (multiply the exponents [6 and 3])

7 0

2 years ago

Calculus piecewise function.

Kipish [7]

Part A

The notation $\lim_{x \to 2^{+}}f(x)$ means that we're approaching x = 2 from the right hand side (aka positive side). This is known as a right hand limit.

So we could start at say x = 2.5 and get closer to 2 by getting to x = 2.4 then to x = 2.3 then 2.2, 2.1, 2.01, 2.001, etc

We don't actually arrive at x = 2 itself. We simply move closer and closer.

Since we're on the positive or right hand side of 2, this means we go with the rule involving x > 2

Therefore f(x) = (x/2) + 1

Plug in x = 2 to find that...

f(x) = (x/2) + 1

f(2) = (2/2) + 1

f(2) = 2

This shows $\lim_{x \to 2^{+}}f(x) = 2$

Then for the left hand limit $\lim_{x \to 2^{-}}f(x)$ , we'll involve x < 2 and we go for the first piece. So,

f(x) = 3-x

f(2) = 3-2

f(2) = 1

Therefore, $\lim_{x \to 2^{-}}f(x) = 1$

===============================================================

Part B

Because $\lim_{x \to 2^{+}}f(x) \ne \lim_{x \to 2^{-}}f(x)$ this means that the limit $\lim_{x \to 2}f(x)$ does not exist.

If you are a visual learner, check out the graph below of the piecewise function. Notice the gap or disconnect at x = 2. This can be thought of as two roads that are disconnected. There's no way for a car to go from one road to the other. Because of this disconnect, the limit doesn't exist at x = 2.

===============================================================

Part C

You'll follow the same type of steps shown in part A.

However, keep in mind that x = 4 is above x = 2, so we'll deal with x > 2 only.

So you'd only involve the second piece f(x) = (x/2) + 1

You should find that f(4) = 3, and that both left and right hand limits equal this value. The left and right hand limits approach the same y value. The limit does exist here. There are no gaps to worry about when x = 4.

===============================================================

Part D

As mentioned earlier, since $\lim_{x \to 4^{+}}f(x) = \lim_{x \to 4^{-}}f(x) = 3$ , this means the limit $\lim_{x \to 4}f(x)$ does exist and it's equal to 3.