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3 years ago

The slope of a line is 2. The y-intercept of the line is 6. Which statements accurately describe how to graph the

Mathematics

1 answer:

wolverine [178]3 years ago

5 0

Answer:

The answer is b

Step-by-step explanation:

For the slope, it is rise over run. So it would be y = 2x + 6 and it would be 2 is the rise

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What is (1.21 x 10 power 5) - 9,500

erastova [34]

What does power 5 mean?

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4 years ago

Read 2 more answers

Which is the graph of the function f(x) = -x

daser333 [38]

I’m not the best at graphs but i did take algebra, i think it’s graph number 2. also i’m sorry if it’s wrong:(

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3 years ago

Gina has a jar of marbles that contains 7 blue marbles, 5 red marbles, and 8 green marbles. She randomly selects a marble, recor

BigorU [14]

The probability that Gina randomly selected two red marbles is 1/19

<u>Explanation:</u>

Total number of marbles = 7 + 5 + 8

= 20

The probability of getting two red marbles in the fraction form is given as:

P(first red marble) = number of red marbles / total number of marbles

P(first red marble) = $\frac{5}{20} = \frac{1}{4}$

P(second red marble) = number of red marbles after 1 white marble is removed / total number of marbles after 1 red marble is removed.

P(first red marble) = $\frac{4}{19}$

P(two red marbles) = P(first) X P(second)

= $\frac{1}{4} X \frac{4}{19}$

= $\frac{1}{19}$

Therefore, the probability that Gina randomly selected two red marbles is 1/19

6 0

3 years ago

Simplify this equation please.

Sauron [17]

$\dfrac{\csc^2\theta-3\csc\theta+2}{\csc^2\theta-1}$

Identity:

$\sin^2\theta+\cos^2\theta=1\implies1+\cot^2\theta=\csc^2\theta$

So we can rewrite the denominator to get

$\dfrac{\csc^2\theta-3\csc\theta+2}{\cot^2\theta}$

Multiply numerator and denominator by $\sin^2\theta$ . Several terms will cancel since $\sin\theta\csc\theta=1$ . Also, $\cot\theta=\dfrac{\cos\theta}{\sin\theta}$ . We get

$\dfrac{1-3\sin\theta+2\sin^2\theta}{\cos^2\theta}$

Factorize the numerator, and write $\cos$ in terms of $\sin$ in the denominator to factorize it further to get

$\dfrac{(1-\sin\theta)(1-2\sin\theta)}{\cos^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{1-\sin^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}$

The $1-\sin\theta$ factors cancel, leaving you with

$\dfrac{1-2\sin\theta}{1+\sin\theta}$

which you could simplify a bit further by writing

$\dfrac{1+\sin\theta-3\sin\theta}{1+\sin\theta}=1-\dfrac{3\sin\theta}{1+\sin\theta}$

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4 years ago

What is the solution to this system of equations? 5x + 2y = 29 x + 4y = 13

Natasha_Volkova [10]

5x+2y=29
x+4y=13
Let's eliminate y;
To do so, multiply equation1 by 2;
10x+4y=58
x+4y=13
Subtract equation II from equation I to get;
9x=45
x=5

To solve for y, replace value of x in equation II,
x+4y=13
5+4y=13
4y=8
y=2

5 0

4 years ago