Please help me with this question

You talk to a friend who lives in a different state. She tells you that today it is 12 degrees below zero where she lives. You t

goblinko [34]

Answer:66

Step-by-step explanation:if its negative you subtract all of the 54 then add -12 to tha

3 0

4 years ago

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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.

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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.

As x gets closer and closer to 4, the y values are approaching 3. This applies to both directions.

4 0

2 years ago

How many 1 3/4 foot pieces of ribbon can be cut from a piece of ribbon that is 36 feet long

inysia [295]

Answer:

20

Step-by-step explanation:

5 0

3 years ago

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Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8

anzhelika [568]

<h2><em><u>PLZ MARK BRAINLIEST</u></em></h2><h2><em><u></u></em></h2>

No, he is not correct for if they washed 37 cars they would have made a total of 296 dollars washing cars. Because this is an inequality, he needs to get a value equal too or greater than 300 dollars on car washes. Also, because he already has 200 dollars collected, you could write the inequality as "8x is greater than or equal to 300".

3 0

3 years ago

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I need answers for 1 and 2

Anuta_ua [19.1K]

Answer:

c = 10 , d = 26

Step-by-step explanation:

In the rectangular prism, we know the fact that the three faces are mutually perpendicular to each other. So, it has a rectangular base.

Given, the length and breadth of the rectangle are 8 and 6 units, and the diagonal is c.

Since it is a rectangle, length , breadth and diagonal from a <em>right angled triangle.</em>

So we have, c² = 6² + 8² = 36 + 64 = 100

⇒ c = 10 units

For the side face:

Length = 24 units.

As we can see, the edge of the side face is perpendicular to the base of the prism. Which means, any line on the base of the prism is perpendicular to the 24units side edge.

So we can say that , the diagonal of the rectangular base of the prism (c) is perpendicular to the 24 units side face edge.

Hence, 24 , d and c (which is 10units) form a <em>right angled triangle</em>

<em> </em>From <em>pythagoras theorem:</em>

d² = 24² + 10² = 576 + 100 = 676

⇒ d = 26 units

5 0

3 years ago