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2 years ago

Question 13 options: What is the slope of the line of the graph?

Mathematics

1 answer:

Elena-2011 [213]2 years ago

3 0

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2) & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

$\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}$

$\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3$

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4

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Use the compound interest formula to compute the total amount accumulated and the interest earned.

mezya [45]

A=3,500×(1+0.011÷12)^(12×4)
A=3,657.36

Interest earned
=3657.36-3500=157.36

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4 years ago

A regression analysis of 117 homes for sale produced the following model, where price is in thousands of dollars and size in squ

Vsevolod [243]

Answer:

A) m = 0.062

B) 202.87 thousand dollars

C) Original price = 116.07 thousand dollars. $6000 is called the error term.

Step-by-step explanation:

We are given the following in the question:

Price = 47.87+0.062(size)

The above equation is regression equation where price is in thousand dollars and size in square feet.

Let p be the prize and s be the size.

$p(s) = 47.87 + 0.062s$

Comparing it to linear equation, we have,

$y= mx + c$

where m is the slope and c is the y-intercept.

m = 0.062

c = 47.87

A) slope of the line

The slope of line tells the rate of change. Thus, it tells the change in price if the size of house is increased by 1 square feet.

The price of house increases by 0.062 thousand dollars if the size of house is increased by 1 square feet.

B) Price of house

We are given s = 2500. Putting this value in the equation.

$p(2500) = 47.87 + 0.062(2500) =202.87$

Thus, the price of a 2500 square feet house is 202.87 thousand dollars.

C) We are given s = 1100

Putting the value in the equation:

$p(1100) = 47.87 + 0.062(1100) =116.07$

Original price = 116.07 thousand dollars

Asking price =

$116.07 - 6 = 110.07$

The buyer is asking for 110.07 thousand dollars.

$6000 is called the error term.

3 0

3 years ago

8. what is the graph of the inequality in the coordinate plane? y<-2

LekaFEV [45]

1) Draw the coordinate plane

2) Draw the line y = - 2

It is a line parallel to the y axis, two units below the origin

3) The solution (graph of the inequality y < - 2) is all the area below the line y = - 2.

4 0

3 years ago

Solve this question. Check your solution. -5 + s > -1

HACTEHA [7]

−5+s>−1

Step 1: Simplify both sides of the inequality.

s−5>−1

Step 2: Add 5 to both sides.

s−5+5>−1+5
s>4

Answer:s>4

hope this helps!

3 0

3 years ago

Find the distance between each pair of points. Round to the nearest tenth, if necessary.

Westkost [7]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
O&({{ 0}}\quad ,&{{ 0}})\quad 
% (c,d)
P&({{ -5}}\quad ,&{{ 6}})\\
K&({{ 5}}\quad ,&{{ 0}})\quad 
% (c,d)
L&({{ -2}}\quad ,&{{ 1}})

\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
OP=\sqrt{(-5-0)^2+(6-0)^2}\qquad \qquad KL=\sqrt{(-2-5)^2+(1-0)^2}$

3 0

3 years ago