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3 years ago

Add and SImplify (x+2)/(x) + (x-3)/(x+2)

1 answer:

7 0

(x+2)/(x) + (x-3)/(x+2)

Common denominator x(x+2)

Reduce both to common denominator:
x+2)/[x(x+2)] + (x-3)/[x(x+2)] ===> [(x+2)² + (x-3)] / [x(x+2)]
= [x²+4x+4+x-3] / [x(x+2)]
=[x²+54x+1] / [x(x+2)]

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WILL GET BRAILIEST FOR CORRECT ANSWER

Alex Ar [27]

Answer:

x = ± $\sqrt{20}$

Step-by-step explanation:

Given

x² = 20 ( take the square root of both sides )

x = ± $\sqrt{20}$

which can be simplified to

x = ± 2 $\sqrt{5}$

[ ± means plus or minus ]

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3 years ago

Express the number 68,708 in word form and expanded form. Word form ? Expanded form ?

Alenkinab [10]

Sixty eight thousand seven hundred and eight in word form

60000+8000+700+8 in expanded form

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2 years ago

Find the equation of this line. y= [?]x+[?]

DochEvi [55]

Answer:

$y=3x-4$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

$m=\displaystyle\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

$m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3$

Therefore, the slope of the line is 3. Plug this into $y=mx+b$ :

$y=3x+b$

2) Determine the y-intercept (b)

$y=3x+b$

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into $y=3x+b$ :

$y=3x+(-4)\\y=3x-4$

I hope this helps!

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2 years ago

An account earns simple interest. $1800 at 6.5% for 30 months Find the interest earned.

horrorfan [7]

Okay. The formula for simple interest is prt. You multiply the principal (initial amount) by the rate (percentage) by the time (months or years). $1,800 is the principal and 6.5% is the percentage rate. 1,800 * 6.5% (0.065) is 117. You earn $117 in interest annually. The time period is 30 months. There are 12 months in 1 year. Divide the amount of months by 12 to put it in a decimal. 30/12 is 2.5. Now, multiply 117 by 2.5 to find the total amount of interest earned. 117 * 2.5 is 292.5. There. The total amount of interest earned is $292.50.

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3 years ago

john owns a truck. he rents out the truck with himself as a driver for $75 per hour. last month john earned $6375 how many of ho

Airida [17]

It would be 85 hours because 6375÷75=85

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3 years ago