Which function rule would help you find the values in the table

4.) Trina earns $28.50 tutoring for 3 hours. How much would Trina earn tutoring for 2 hours?

Dafna11 [192]

Answer:

19

Step-by-step explanation:

First, find the unit rate. (How much she makes in 1 hour.)

28.50/3 is 9.5

Now it asks for how much she will make in 2 hours.

9.5 x 2 is

19.

6 0

2 years ago

What is vertical line test is and how it is used?

laila [671]

Answer:

The vertical line test is a visual test used to determine whether or not a graph is a function. To perform this test, simply draw a straight vertical line multiple times on different parts of the graph.

If a vertical line intersects with the graph at one point, then it's a function.

If a vertical line intersects with the graph at multiple points, then it's not a function.

Examples:

5 0

1 year ago

Evaluate the limit of sequence:

mr_godi [17]

Rationalize both the numerator and denominator. Given

$\dfrac{\sqrt a-\sqrt b}{\sqrt c-\sqrt d}$

we can rationalize it by introducing conjugates of the numerator and denominator:

$\dfrac{\sqrt a-\sqrt b}{\sqrt c-\sqrt d} \cdot \dfrac{\sqrt a+\sqrt b}{\sqrt a+\sqrt b} \cdot \dfrac{\sqrt c+\sqrt d}{\sqrt c+\sqrt d} \\\\ = \dfrac{\left(\sqrt a\right)^2 - \left(\sqrt b\right)^2}{\left(\sqrt c\right)^2-\left(\sqrt d\right)^2} \cdot \dfrac{\sqrt c+\sqrt d}{\sqrt a + \sqrt b} \\\\ = \dfrac{a-b}{c-d} \cdot \dfrac{\sqrt c+\sqrt d}{\sqrt a + \sqrt b}$

Then the limit is equivalent to

$\displaystyle \lim_{n\to\infty} \frac{(n+3)-n}{(n+1)-n} \cdot \dfrac{\sqrt{n+1}+\sqrt n}{\sqrt{n+3}+\sqrt n} = 3 \lim_{n\to\infty} \dfrac{\sqrt{n+1}+\sqrt n}{\sqrt{n+3}+\sqrt n}$

For the remaining expression, divide through uniformly by $\sqrt n$ :

$\dfrac{\sqrt{n+1}+\sqrt n}{\sqrt{n+3}+\sqrt n} = \dfrac{\sqrt{1+\frac1n} + 1}{\sqrt{1+\frac3n}+1}$

As n goes to infinity, the remaining terms containing n converge to 0, leaving

$\dfrac{\sqrt{1}+1}{\sqrt1+1} = \dfrac22 = 1$

making the overall limit 3.

8 0

2 years ago

What are some limitations of the linnaean classification system?

s2008m [1.1K]

In his Imperium Naturae, Linnaeus established three kingdoms, namely Regnum Animale, Regnum Vegetabile and Regnum Lapideum. This approach, the Animal, Vegetable and Mineral Kingdoms, survives today in the popular mind, notably in the form of the parlour game question: "Is it animal, vegetable or mineral?". The work of Linnaeus had a huge impact on science; it was indispensable as a foundation for biological nomenclature, now regulated by the nomenclature codes.
But the system is based solely on physical characteristics, due to not having the proper technology to investigate the molecular data of animals

3 0

2 years ago

Can someone help me in question 51 please

notka56 [123]

We know that the area of a parallelogram is the base * the height of it, so if we divide both sides by the height, then area/height=base. Therefore, we must divide the area by the height. To divide using polynomials, we first set it up similar to a regular long division problem:

______________________

2x+3 | 2x²+13x+15

Next, we take the first component of the numerator (2x² in this case) and divide it by the first component of the denominator (2x) to get x. That will form the start of our answer, and at the bottom, we will subtract our numerator by the denominator (2x+3) multiplied by the start of our answer (x). Therefore, we have

_x_____________________

2x+3 | 2x²+13x+15

-(2x²+3x)

_______________

10x+15

We then repeat the process until we finish, and whatever's left at the top is our answer. If there's something left, that's our remainder.

_x+5_____________________

2x+3 | 2x²+13x+15

-(2x²+3x)

_______________

10x+15

- (10x+15)

_________________

0

Therefore, our base has a length of x+5.

Feel free to ask further questions, and Happy Holidays!

3 0

3 years ago