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3 years ago

The equation of the graphed line is 2x – 3y = 12.

Mathematics

2 answers:

dem82 [27]3 years ago

5 0

Answer: LAST OPTION.

Step-by-step explanation:

You need to remember that a line intercepts the x-axis when y is equal to zero ( $y=0$ )

Knowing this and given the graph of the line $2x -3y = 12$ , you can observe in the figure attached that this line intercepts the x-axis at this point:

$(6,0)$

Where:

$x=6$ and $y=0$

Therefore, you can identify that the x-intercept is the x-coordinate of this point, which is:

$x=6$

This matches with the last option.

bearhunter [10]3 years ago

4 0

Hello there! The x-intercept is 6.

The x-intercept is when the y value id equal to zero, and the line crosses the x axis. In this example, you can see that the line passes through x at the value of 6, making that your answer.

I hope this was helpful and have a great rest of your day!

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Amy has 2$, Jack has 3 times as much as Amy. Catherine has twice as much as Jack. How much does Catherine have?

worty [1.4K]

Catherine has 12.

2 times 3 is 6. 6 times 2 is 12. Final answer is 12.

4 0

3 years ago

Read 2 more answers

Scores on a dental anxiety scale range from 0 (no anxiety) to 20 (extreme anxiety). The scores are normally distributed with a

solniwko [45]

Answer:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Step-by-step explanation:

The following information is missing in the question:

We have to find z-score for the given score on this dental anxiety scale: 12, 6

We are given the following information in the question:

Mean, μ = 11

Standard Deviation, σ = 4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

where x is the given score on this dental anxiety scale.

For x = 12

$z_{score} = \displaystyle\frac{12-11}{4} = 0.25$

For x = 6

$z_{score} = \displaystyle\frac{6-11}{4} = -1.25$

6 0

3 years ago

Lins family has completed 70% of a trip they have traveled 35 miles how long is the whole trip

Keith_Richards [23]

Answer:

The distance of the whole trip is 50 miles.

Step-by-step explanation:

Let the distance of the whole trip be x.

70% x = 35 miles

(70/100)x = 35 miles

x = 35 * (100/70) miles

x = 50 miles

Therefore, the distance of the whole trip is 50 miles.

Hope this helped!

8 0

3 years ago

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For what values of θ is sinθ < cosθ when 0 ≤ θ < π ?

zysi [14]

<h3>Answer: $0 \le \theta < \frac{\pi}{4}$ </h3>

=========================================================

How to get this answer:

Use the unit circle to note that $\sin\theta = \cos\theta = \frac{\sqrt{2}}{2}$ when $\theta = \frac{\pi}{4}$ (aka 45 degrees)

Beyond this point, cosine is smaller than sine. This means that anything from 0 to pi/4 will have sine be smaller than cosine. It might help to graph y = sin(x) and y = cos(x) on the interval from x = 0 to x = pi.

The two curves y = sin(x) and y = cos(x) intersect at the point $\left(\frac{\pi}{4}, \frac{\sqrt{2}}{2}\right)$

-------------------------------

Here's a more detailed picture of whats going on.

$\sin \theta < \cos \theta\\\\\sin \theta < \sqrt{1-\sin^2\theta}\\\\\sin^2 \theta < 1-\sin^2\theta \\\\2\sin^2 \theta < 1\\\\\sin^2 \theta < \frac{1}{2}\\\\\sin \theta < \sqrt{\frac{1}{2}}\\\\\sin \theta < \frac{1}{\sqrt{2}}\\\\\sin \theta < \frac{\sqrt{2}}{2}\\\\\theta < \arcsin\left(\frac{\sqrt{2}}{2}\right)\\\\\theta < \frac{\pi}{4}\\\\$