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3 years ago

Factor as a product of two binomials x2-x-72

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

4 0

Answer:

(x - 9)(x + 8)

Step-by-step explanation:

Given

x² - x - 72

Consider the factors of the constant term (- 72) which sum to give the coefficient of the x- term (- 1)

the factors are - 9 and + 8, since

- 9 × 8 = - 72 and - 9 + 8 = - 1, thus

x² - x - 72 = (x - 9)(x + 8)

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Scientists measured the annual forest loss (in square kilometers) in Indonesia from 2000–2012. They found the regression line

sergeinik [125]

Answer:

The slope of this line is 1021.

Step-by-step explanation:

A regression line has the following format:

y = b + ax

In which a is the slope, that is, how much y changes with a variation of a single unit in x.

In this problem, our line is:

forest loss=7500+1021x

In which x is the number of years after 2000.

So the slope of this line is 1021.

7 0

3 years ago

Find s(2t - 4) for s(t) = 3t - 7 <br> A)6t - 19 B) 6t - 18 C) 5t - 11 D) 5t - 19

asambeis [7]

Hello,

Answer A

s(x)=3x-7
s(2t-4)=3*(2t-4)-7=6t-12-7=6t-19

3 0

3 years ago

What is 9 simplified

grin007 [14]

Answer:

9 on its own can not be simplified. It needs to be a fraction.

7 0

3 years ago

An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

7 0

3 years ago

Determine the number of significant digits in the measurement <br> 0.79 cm

antiseptic1488 [7]

2 significant digits

5 0

3 years ago