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3 years ago

What value of "p" will the pair of equations

Mathematics

1 answer:

Nikolay [14]3 years ago

3 0

Answer:

Step-by-step explanation:

Slope is the same as coefficient of x

From the equation

3x+4y=12

Y=(-3/4)x+3

The slope for this eqn is -3/4

For this equation

Px+12y=30

12y=-p+30

Y= (-p/12)x +30/12

The slope is -p/12

To get p

-p/12=-3/4

P=9

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The following scatter plot shows the number of page views for a popular website and how many people signed up to receive emails

My name is Ann [436]

Answer:

See Explanation.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Linear Regression

Step-by-step explanation:

We can draw any best line of fit, as long as it is reasonable around the points that are given.

We can just take 2 points and use slope formula and Slope-Intercept Form to find the equation for the best line of fit.

Using Linear Regression, we can determine the true best line of fit using graphing utilities.

Finding the best line of fit

Define 2 points

Point (21600, 205)

Point (27000, 290)

Find slope m

Substitute in point [SF]: $\displaystyle m=\frac{290-205}{27000-21600}$
[Fraction] Subtract: $\displaystyle m=\frac{85}{5400}$
[Fraction] Simplify: $\displaystyle m=\frac{17}{1080}$

Find equation

Define equation [SIF]: $\displaystyle y = \frac{17}{1080}x + b$
Substitute in point: $\displaystyle 290 = \frac{17}{1080}(27000) + b$
Multiply: $\displaystyle 290 = 425 + b$
Isolate y-intercept b: $\displaystyle -135 = b$
Rewrite: $\displaystyle b = -135$
Redefine equation: $\displaystyle y = \frac{17}{1080}x - 135$

Slope-Intercept Form tells us that our slope m = $\displaystyle \frac{17}{1080}$ and our y-intercept $\displaystyle b = -135$ .

Setting this as function f(x), we can see from the graph that it is extremely accurate (Blue line).

Using Linear Regression

Depending on the graphing calc you have, the steps may be different.

Using a graphing calc, we can use statistics and determine the best best line of fit.

When we determine the values, we should see that our equation would be g(x) (Green Line).

Credit to Lauren for collabing w/ me in graphing.

6 0

3 years ago

Select the correct answer.

mariarad [96]

Answer:

D. slope: 3

y-intercept: -3

Step-by-step explanation:

8 0

3 years ago

(1, -6) and ( -8, 9 )

hichkok12 [17]

Answer:

What is the question am I supposed to calculate the slope? If so then the answer is 5/-3

Step-by-step explanation:

6 0

3 years ago

Given point P (3, 4). What is the distance of point P from (a) x axis (b) y axis?

vova2212 [387]

Answer:

a) 3

b) 4

Step-by-step explanation:

The point P is(3,4)

which means that 3 is the point P's x- coordinate and 4 is it's y-coordinate

Because we use the axes as our reference point when plotting points,

the distance of P from x-axis and y-axis would be the point itself.

6 0

3 years ago

How to you simplify to the lowest term with fractions

Aleks04 [339]

Divide the numerater by the denominater by the greatest commen facter

7 0

3 years ago

Read 2 more answers