4. One morning at Jim's café, 25 people ordered juice, 10 ordered milk, and 50 ordered coffee with

Ne4ueva [31]

Tje answer is 1.2631 or 1.3 if you round

8 0

3 years ago

Explain what is meant by the equation lim x → 8 f(x) = 9. If |x1 − 8| < |x2 − 8|, then |f(x1) − 9| < |f(x2) − 9|. The valu

loris [4]

Complete Question

1 Explain what is meant by the equation lim x → 8 f(x) = 9.

A If |x1 − 8| < |x2 − 8|, then |f(x1) − 9| < |f(x2) − 9|.

B The values of f(x) can be made as close to 8 as we like by taking x sufficiently close to 9.

C f(x) = 9 for all values of x.

D If |x1 − 8| < |x2 − 8|, then |f(x1) − 9|≤ |f(x2) − 9|.

E The values of f(x) can be made as close to 9 as we like by taking x sufficiently close to 8.

2 Is it possible for this statement to be true and yet f(8) = 6? Explain.

A Yes, the graph could have a hole at (8, 9) and be defined such that f(8) =6.

B Yes, the graph could have a vertical asymptote at x = 8 and be defined such that f(8) = 6.

C No, if f(8) = 6, then lim x→8 f(x) = 6.

D No, if lim x→8 f(x) = 9, then f(8) = 9.

Answer:

1

The correct option is D

2

The correct option is A

Step-by-step explanation:

Generally a a limit function $\lim_{n \to x } f(x) = L$

Tell us that as n tends toward x the values of f(x) tends towards L hence for the first question E is the correct option

Now looking at the second question

Yes it is possible for lim x → 8 f(x) = 9. to be true and f(8) = 6 this is because the graph defined by this limit equation can have a hole the point

(8, 9) and created in such a way that f(8) = 6

7 0

3 years ago

Consider the long division problem below. What error did Sam make when he computed the answer? 0.043 StartLongDivisionSymbol neg

Artyom0805 [142]

Answer:

Sam made an error subtracting 258 from 270.

Step-by-step explanation:

0.043 / - 0.2709 /- 258 = 129. 129 - 129 = a remainder of 0 and quotient of negative 63.

Should actually answer and be 0.00061523317

So if sam rewrote this as;

0.043 / - 270.9 /- 258 = 6.15233173

There is no 63 or 6.3 or 630 answer possible and 5 decimals to the right would be absurd.

7 0

4 years ago

Read 2 more answers

Select three involuntary muscles:

Natalija [7]

Answers:

A) stomach
B) intestinal
C) heart

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Explanation:

The stomach muscle helps digest food. The muscle isn't something a person can control at will. Instead, the body handles it automatically. This is why choice A is one of the answers.

The intestinal muscles work in a similar fashion to help pass nutrients into the blood stream and also pass waste out of the body. All of these processes are done automatically and you don't have to think about them. They just happen. Therefore, choice B is another answer.

Another example of an automatic or involuntary muscle doing its own thing is the heart muscle. It continuously pumps blood to help distribute nutrients and oxygen, and also dump waste byproducts (eg: carbon dioxide) out of the body. So choice C is the third and final answer.

An example of a muscle that's voluntary are the biceps. You can flex these muscles, and move them around at will. For example, when you pick up an item. So this allows us to rule out choice D.

I'm not sure why your teacher listed "brain". It has properties related to muscles such as the idea of practicing a topic to help retain it (similar to exercising to stay in shape); however, the brain itself isn't a muscle on a technical biological level.

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Extra info:

Some more involuntary muscles are:

The diaphragm muscle to help the lungs expand and contract (to breathe in oxygen or exhale carbon dioxide).
The muscles that allow your eyes to blink. The technical name for them isn't coming to mind at the moment. These muscles blink at some fairly random yet consistent rate, and also blink whenever something like dust particles enter the eye (or threaten to).
At some level, you could argue that the biceps are involuntary in some way. What I mean by this is that there's a reflex action to them that is automatically controlled. However, for the most part, the biceps are voluntary muscles.

8 0

3 years ago

Multiply.

Helen [10]

Okay. When it comes to multiplying decimals, you multiply them just like you would do whole numbers. However, solving them by paper, you would add a decimal point into the answer, depending on how many numbers are behind the decimal point in the numbers being multiplied. In this case, the decimal point will go in front of two numbers, because there are two numbers behind the decimal point in -1.2 and 0.4. Know that the answer will be negative, because there is one negative and one positive number.
Multiply both numbers. -1.2 * 0.4 is -0.48. There. The product is -0.48.

6 0

4 years ago