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3 years ago

What is 6n-10=8 show me how to do this problem

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

4 0

Answer: n=3

Step-by-step explanation:

6n-10=8

6n=18

n=3

You start by adding 10 to both sides and then divide both sides by 6.

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A dolphin in an aquarium is 12 feet long. A scale model of the dolphin is 3.5 inches long. What is the scale factor of the mode?

polet [3.4K]

Assuming the life sized dolphin is 12 ft long, what we want to know is what factor do you multiply 12 ft by to get 3.5 inches so converting this to an equation gives: 12*f=3.5 solving for f gives f=3.5/12=.29166...The units on the factor are inches/foot.

So to get the size if anything linear in the small scale you just multiply it's dimension in the full scale by f.

3 0

3 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.

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

4 0

2 years ago

ORDERING REAL NUMBERS

Bess [88]

3/25, 0.1, -√86, -9.34

4 0

3 years ago

Read 2 more answers

What is 1/3 + 5/6 Help

gulaghasi [49]

<em><u>7/6 is the right answer.</u></em> First you had to add by the fractions. And it gave us, $\frac{2}{6}+ \frac{5}{6}$ . Since the denominators are equal, combine the fractions. And it gave us, $\frac{2+5}{6}$ . Finally, you had to add by the numbers, and it gave us the answer is 2+5=7, or 7/6 is the right answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

5 0

3 years ago

A. Jenna wants to buy a new tablet computer. Top Quality, an electronics store, is selling them at a 15% discount off the list p

marissa [1.9K]

Answer:

Step-by-step explanation:

Part A

Cost = T - (15/100) * T

Cost = (85/100)*T

Part B

You are asked to take 15% off the cost of something. The first equation is very clear how to do that -- just take 15% of T away from T

The second part is not so obvious if you are not familiar with it, but the result will be the same.

Start with the first equation

Cost = T - (15/100) T Change 1 T to 100 / 100

Cost = 100*T/100T - 15/100T

Cost = 85 /100 * T

Part C

Cost = Phone - 14 at Top quality. Red in Graph below

Cost = 75/100 * Phone at Big value. Blue in Graph belos

The graph below is a good way to answer this. I won't solve it algebraically when the graph will give you a much better idea which phone to get.

Answer: Up to a phone cost of 55 dollars, the red phone is the better buy.

After 55$ the blue phone is better.

Try this with a couple of values for phone,

4 0

3 years ago