All categories

2 years ago

Graph the line with the equation y=6x-1

Mathematics

2 answers:

sashaice [31]2 years ago

6 0

Answer:

Step-by-step explanation:

Iteru [2.4K]2 years ago

4 0

Answer: Graph the line using the slope and y-intercept, or two points.

$Slope:$ $6$

$y-intercept: (0,-1)$

x y

0 −1

1 5

You might be interested in

Solve mathematics problem in photo please!

laila [671]

Hello,

8/(x-7)=7/2
==>(x-7)*7=8*2
==>7x-49=16
==>7x=65
==> x =9+2/7

Answser A

8 0

3 years ago

What units of distance are in the metric system? How are they related?

yaroslaw [1]

Answer:

The most common units of distance In the metric system of measurement, are millimeters, centimeters, meters, and kilometers.

4 0

3 years ago

Which of the trigonometric ratios has a value that is undefined?

FinnZ [79.3K]

Answer:

$\tan \left(\frac{\pi }{2}\right)$

Step-by-step explanation:

We know that tan(x) is defined as sin(x)/cos(x):

$\tan \left(\frac{\pi }{2}\right),\\\sin \left(\frac{\pi }{2}\right)=1,\\\cos \left(\frac{\pi }{2}\right)=0,\\\\$

$\tan \left(\frac{\pi }{2}\right) = 1/0 \\$

1/0 is undefined as 0 is in the denominator

6 0

3 years ago

What is the relative minimum of the function?<br><br> Enter your answer in the box.

trapecia [35]

Answer:

-5

Step-by-step explanation:

The minimum is at the vertex. This is at (1, -5)

The minimum value is -5

5 0

3 years ago

Arm Span(x) Height(y)

natita [175]

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

$a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}$

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

$\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\\\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\\25 & 19 & 22.3 & -3.3\\40 & 41 & 38.2 & 2.8\\55 & 51 & 54.1 & -3.1\\65 & 67 & 62.6 & 4.4\\ \end{array}$

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\66 & = & 1.0595x - 4.1524\\70.1524 & = & 1.0595x\\x & = & \dfrac{70.1524}{1.0595}\\\\& = & \textbf{66 in}\\\end{array}\\\text{A person with an arm span of 66 in should have a height of about $\large \boxed{\textbf{66 in}}$}$

(ii) Arm span of 74 in tall person

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\& = & 1.0595\times74 - 4.1524\\& = & 78.4030 - 4.1524\\& = & \textbf{74 in}\\\end{array}\\\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}$

6 0

3 years ago