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2 years ago

Which is the graph of g(x) = 2x-1+3?

Mathematics

1 answer:

bazaltina [42]2 years ago

5 0

Answer:

See below

Step-by-step explanation:

The question is garbled. I don't see a graph nor can I interpret the list of numbers.

g(x) = 2x-1+3 can be simplified to:

g(x) = 2x+2

This line is shown in the attached graph. It has a slope of 2 and a y-intercept of 2.

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Please Help! Due tonight! Solve the triangle. Round to nearest tenth, if necessary.

Vika [28.1K]

Answer:

$\displaystyle 33,8 ≈ b \\ 55,1 ≈ a \\ 35° = m∠B$

Step-by-step explanation:

We will be using the Law of Sines to find edges b and a one at a time, therefore we will use the given variables in the formulas:

Solving for Angles:

$\displaystyle \frac{sin∠C}{c} = \frac{sin∠B}{b} = \frac{sin∠A}{a}$

**Use $\displaystyle arcsin\:or\:sin^{-1}$ in your solution or you will throw the result off!

Solving for Edges:

$\displaystyle \frac{c}{sin∠C} = \frac{b}{sin∠B} = \frac{a}{sin∠A}$

__________________________________________________________

$\displaystyle \frac{33}{sin\:34} = \frac{b}{sin\:35} \hookrightarrow \frac{33sin\:35}{sin\:34} = b \hookrightarrow 33,848824408... = b \\ \\ 33,8 ≈ b$

We will now define edge a:

$\displaystyle \frac{33}{sin\:34} = \frac{a}{sin\:111} \hookrightarrow \frac{33sin\:111}{sin\:34} = a \hookrightarrow 55,093964682... = a \\ \\ 55,1 ≈ a$

This triangle is now deemed solved.

***The fact that you solved for the $\displaystyle m∠B$ tells me that you understood what to when it comes to the interior angles of triangles, so I did not have to cover that. Good wourk citisen!

I am delighted to assist you at any time. If you have further questions though, comment them and I will do my very best to answer them.

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3 years ago

Question 12 Multiple Choice Worth 1 points)

natta225 [31]

Complete question:

A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

Answer: 3/20

Step-by-step explanation:

From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)

Given that:

P(arrow landing on red) = 11 / 20

P(arrow landing on blue) = 6/20

The probability of arrow landing on green is therefore :

Sum of the probabilities of red and blue :

P(arrow landing on red) + P(arrow landing on blue)

= (11/20 + 6/20) = 17/20

Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.

Then:

P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1

Hence,

P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]

P(arrow landing on green) = 1 - [11/20 + 6/20]

P(arrow landing on green) = 1 - 17/20

P(arrow landing on green) = 3/20

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