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3 years ago

Select the equation of the line that passes through the point (3, 5) and is

Mathematics

2 answers:

kicyunya [14]3 years ago

8 0

It’s the first one. Your welcome

ohaa [14]3 years ago

3 0

Answer:

Step-by-step explanation:

x = 4 it's a vertical line.

Perpendicular line to a vertical line is a horizontal line.

A horizontal line has equation y = a.

A horizontal line passes through the point (3, 5) → x = 3 and y = 5.

Therefore the equation is y = 5

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Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the

Reil [10]

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let X = diameter of bolts.

It is provided that the random variable X follows a Normal distribution with mean, μ = 18 mm and standard deviation, σ = 0.10 mm.

A z-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of z-scores is defined by the Standard Normal distribution.

$Z\sim N(0, 1)$

The formula to compute the z-score is:

$z=\frac{x-\mu}{\sigma}$

The value of the diameter of a bolt is, x = 18.12 mm.

Compute the z-score for this value as follows:

$z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20$

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

5 0

3 years ago

Simple math but I can't seem to understand it: x+y=2 becomes y=2-x, in order to find slope and y intercept y=mx+b The result bec

IgorLugansk [536]

Answer:

See below.

Step-by-step explanation:

So we started off with the equation:

$x+y=2$

And we subtracted x from both sides to acquire:

$y=2-x$

Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

If we rearrange our equation:

$y=2-x\\y=-x+2$

And put some parentheses:

$y=(-1)x+(2)$

We can see that this is indeed slope-intercept form.

And we can see that m is -1 and b is 2.

In other words, the slope is -1 and the y-intercept is 2.

3 0

3 years ago

Read 2 more answers

I need the domain range and function. With an explanation

erastovalidia [21]

<h3>Answers:</h3>

Problem 1

Domain = $-3 < x \le 3$ , interval notation (-3, 3]
Range = $-3 \le y < 3$ , interval notation [-3, 3)
Is it a function? Yes

Problem 2

Domain = $x \ge -2$ , interval notation $[-2, \infty)$
Range = All real numbers, interval notation $(-\infty, \infty)$
Is it a function? No

Problem 3

Domain = $-4 \le x < 3$ , interval notation [-4, 3)
Range = $-4 < y \le 3$ , interval notation (-4, 3]
Is it a function? Yes

Problem 4

Domain = All real numbers, interval notation $(-\infty, \infty)$
Range = $y \le 4$ , interval notation $(-\infty, 4]$
Is it a function? Yes

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

Explanations:

The left most point is when x = -3, and we are not including this value due to the open hole. The other endpoint is included because it is a filled in circle. The domain is therefore $-3 < x \le 3$ which in interval notation is (-3, 3]. We have the curved parenthesis meaning "exclude endpoint" and the square bracket says "include endpoint". The range is a similar story but we're looking at the smallest and largest y values. Though be careful about which endpoint is open/closed. We have a function because it passes the vertical line test.
The smallest x value is x = -2. There is no largest x value because the arrows say to go on forever to the right. We can say the domain is $x \ge -2$ which in interval notation is $[-2, \infty)$ . The range is $(-\infty, \infty)$ to indicate "all real numbers". This graph fails the vertical line test, so it is not a function. The vertical line test is where we check to see if we can pass a vertical line through more than one point on the curve. In this case, such a thing is possible which is why it fails the test.
This is the same idea as problem 1, though note the endpoints are flipped in terms of which has an open circle and which doesn't. It is not possible to draw a single vertical line to have it pass through more than one point on the curve, so it passes the vertical line test and we have a function.
This is a function because it passes the vertical line test. The domain is the set of all real numbers due to the arrows in both directions. Any x value is a possible input. The range is $y \le 4$ which is the same as saying $(-\infty, 4]$ in interval notation. This is because y = 4 is the largest y value possible. There is no smallest y value due to the arrows.

7 0

3 years ago

Hi what is 9257289357218q4918 x 5823829.94325892580254

lana [24]

Answer:

ridiculous

Step-by-step explanation:

tssssk *extra characters*

3 0

3 years ago

Read 2 more answers

Select the correct answer. A polynomial function has x-intercepts at -2, 1/2, and 2 and a relative maximum at x=-1. Which graph

vladimir1956 [14]

Answer: B

Step-by-step explanation: PLUTO

4 0

3 years ago