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3 years ago

Based on housing data below which equation can be used to calculate fair housing prices?

Mathematics

1 answer:

VMariaS [17]3 years ago

5 0

Answer:

B. y = 0.097x + 11.142

Step-by-step explanation:

In order to find the best equation to descibe the housing price, we have to calculate the slope of the line first.

The equation of the line can be written as

$y=mx+q$

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

In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:

(1900, 196)

and

(2200, 225)

The slope of the line is calculated as:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{225-196}{2200-1900}=0.097$

So, the slope of the line is 0.097.

Therefore, the correct option is the only one having a slope of 0.097, which is:

B. y = 0.097x + 11.142

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Tanya has a garden with a trench around it. The garden is a rectangle with width 2 1/2 m and length 2 m. The trench and garden t

vichka [17]

Answer:

The area of a trench is 5.5 m² .

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

Tanya has a garden with a trench around it.

$The\ garden\ is\ a\ rectangle\ with\ width\ 2\frac{1}{2}\ m\ and\ length\ 2\ m.$

i.e

$The\ garden\ is\ a\ rectangle\ with\ width\ \frac{5}{2}\ m\ and\ length\ 2\ m.$

Put in the above formula

$Area\ of\ garden = \frac{5\times 2}{2}$

= 5 m²

As given

$The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ 3 \frac{1}{2}\ m\ and\ length\ 3 m.$

i.e

$The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ \frac{7}{2}\ m\ and\ length\ 3 m.$

$Area\ of\ garden\ with\ trench = \frac{7\times 3}{2}$

$Area\ of\ garden\ with\ trench = \frac{21}{2}$

= 10.5 m²

Area of the trench = Area of garden with trench - Area of garden

Put the value in the above

Area of the trench = 10.5 m² - 5 m²

= 5.5 m ²

Therefore the area of a trench is 5.5 m² .

5 0

3 years ago

Read 2 more answers

Pls help me!!!!!!!!!!!!!!

professor190 [17]

Answer:

Step-by-step explanation:

To find purple, you divide 162 by 3 as there are 3 people who like red for every one person who like purple. To find blue, you need to divide 162 by 3, which is 54, and then multiply it by 9 because there were 9 people who like blue for every person that liked purple.

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3 years ago

Make t the subject of the formula p = 4t+1/2-t

alex41 [277]

Answer:

t = (p - 1/2)/3

Step-by-step explanation:

p = 4t + 1/2 - t

combine like terms:

p = 3t + 1/2

subtract 1/2 from each side of the equation:

3t = p - 1/2

divide both sides by 3:

t = (p - 1/2)/3

8 0

2 years ago

Find the product of the given complex number and its conjugate.<br> 1/5+4i

nasty-shy [4]

Answer:

-15.96

Step-by-step explanation:

A conjugate is a binomial with the sign inside changed. So the conjugate of (1/5 + 4i) is (1/5 - 4i)

Set the original and the conjugate next to each other and F.O.I.L. Multiply the first numbers of each binomial, the 1/5 and the 1/5 to get 1/25. This is the "F."

Multiply the outer members, the 1/5 and the 4i to get - 60i. This is the "O."

Multiply the inner numbers ( the + 4i and the 1/5) to get + 60i. This is the "I."

Multiply the positive 4i and the negative 4i to get 16i squared

The positive 60i and the negative 60i cancel each other out.

The i squared changes into - 1. This makes the 16 negative.

Add 1/25 to - 16 to get - 15.96

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3 years ago

Find the measures of the numbered angles in the quadrilateral.

poizon [28]

Answer:

Step-by-step explanation:

angles in a triangle r equal to 180

180-90-65 is equal to 25

and 1 is 90 degree

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3 years ago