What is the interval notation for -3<x<4

Which table shows the relationship y = 50x?

VikaD [51]

Answer:

$\displaystyle y = \frac{4}{5}x$

B. x 1 3 4 5

y 50 150 200 250

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{0 + 24}{0 + 30} = \frac{24}{30} = \frac{4}{5} \\ \\ y = \frac{4}{5}x$

We can write the equation from here, since both the x-intercept and y-intercept are at the origin.

_______________________________________________

Now, all you have to do is input each value into the function to confirm their authenticities. Once you do this, you WILL arrive at answer choice B).

I am joyous to assist you anytime.

4 0

4 years ago

How many license plates in Ontario were registered between the following licence plates? As the question is asking for plates be

Liono4ka [1.6K]

The number of plates is an illustration of permutation and combination

The number of plates is 2592

<h3>How to determine the number of plates</h3>

The range is given as: AVVJ 144 To: BVNP 199 (exclusive)

From the range, we have the following highlights:

The first letter can be either A or B (i.e. 2 letters)
The second letter can be only V (i.e. 1 letter)
The third letter can be from W to M (24 letters)
There are 54 numbers between 144 and 199

The number of plates (n) is then calculated as:

$n = 2 * 1 * 24 * 54$

Evaluate the product

$n = 2592$

Hence, the number of plates (n) is 2592

Read more about permutation and combination at:

brainly.com/question/12468032

8 0

3 years ago

Budget A student group has $8,000 budgeted for a field trip. The cost of transportation for the trip is $3,400. To stay within

inna [77]

Answer:

The answer is below

Step-by-step explanation:

Let the budget be represented by B. Since the grouo has only $8,000, hence, the inequality can be represented as:

B ≤ $8000

Also, $3400 was spent on transportation. If other cost is represented by C, therefore, other cost is given as:

Other cost ≤ Budget - cost of transportation

C ≤ $8000 - $3400

C ≤ 4600

From above, to stay within the budget, all other costs must be below $4600

7 0

4 years ago

Lisa purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to received a 20

Lelu [443]

<h3>Answer:</h3>

12%

<h3>Step-by-step explanation:</h3>

Her discounted price was 100% - 20% = 80% of the original price. The service fee made it be 100% + 10% = 110% of that, so her final price was ...

... 110% × 80% = 88%

of the original ticket price.

This represents a discount of 100% - 88% = 12% from the original.

7 0

3 years ago

Please help! I've already answered part a, I don't understand what part b is asking.

Luba_88 [7]

Step-by-step explanation:

So, there is something known as a removable discontinuity, and it's essentially where you can define f(x) using the most simplified fraction, where you could normally not define f(x).

So we have the following equation:

$f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}$

As you may know, we cannot divide a number by the value of zero. When the denominator is equal to zero, on the graph this will appear as a vertical asymptote, where x approaches the value that makes the denominator zero, but never actually reaches it.

If you look at each denominator, you can set them equal to zero to find the vertical asymptotes

x+1 = 0

x=-1

There should be a vertical asymptote at x=-1, since it would make two of the denominators equal to -1, but let's divide the two fractions first.

Original Equation

$f(x) = (\frac{x+5}{x+1}\div\frac{(x+3)(x-2)}{(x-4)(x+1)})-\frac{1}{x-2}$

Keep, change, flip

$f(x) = (\frac{x+5}{x+1}*\frac{(x-4)(x+1)}{(x+3)(x-2)})-\frac{1}{x-2}$

Multiply the two fractions

$f(x) = (\frac{(x+5)(x-4)(x+1)}{(x+1)(x+3)(x-2)})-\frac{1}{x-2}$

Notice how the x+1 is in the numerator and fraction? That means we can cancel it out!

$f(x) = (\frac{(x+5)(x-4)}{(x+3)(x-2)})-\frac{1}{x-2}$

In this simplified version of the fraction, we can technically define f(-1), but in the original version, since it's not defined there is a removable discontinuity at x=-1, meaning there is no vertical asymptote, but the function is still not defined at f(-1), and there will be a hole at that point.

4 0

2 years ago