Divide the rational expressions below and simplify as much as possible:

Mathematics

2 answers:

pshichka [43]2 years ago

6 0

Apply fraction rule to flip the second fraction to times the two fractions...

< x^2+8 / 2x^2+x-3 * x-1 / x+2 >

Then you can multiply the fractions:
< (x^2+8)(x-1) / (2x^2+x-3)(x+2) >

Factor (2x^2+x-3) as (x-1)(2x+3) so we can cancel out (x-1) from the denominator and numerator < (x^2+8)(x-1) / (x-1)(2x+3)(x+2) >
< = x^2+8 / (2x+3)(x+2) >

Expand denominator (2x+3)(x+2) with foil method shown in image:

Therefore the answer is < = x^2+8 / 2x^2+7x+6 >

Savatey [412]2 years ago

3 0

Answer:

the answer is

Step-by-step explanation:

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jeyben [28]

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A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.