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3 years ago

Find lcm of 10x^2 , 30xy^2

Mathematics

1 answer:

AnnyKZ [126]3 years ago

3 0

Answer:

30 x ^2 y ^2

Step-by-step explanation:

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3 years ago

Write the equation of the line that passes through the points (0,–2) and (4,5). Put

Ber [7]

Step-by-step explanation:

5+2/4-0=7/4

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3 years ago

Faye pays her family phone bill, and Jonathan’s family phone bill with her card and jonathan pays her back. If Faye bill is $120

nika2105 [10]

Answer:

Jonathan has to pay Faye back US$ 240

Jonathan has 4 people on his bill and Faye has 6.

Step-by-step explanation:

1. Let's find out the amount of the phone bills, this way:

Total of the two bills = US$ 600

Faye's bill = US$ 120 more than Jonathan's

Jonathan's bill = x

Solving for x, we can use this equation:

x + x + 120 = 600

2x + 120 = 600

2x = 600 - 120

2x = 480

x = 480/2 = 240

Jonathan has to pay Faye back US$ 240

2. Let's find out the number of people on each bill, this way:

Faye has two people more on her bill than Jonathan

Number of people on Jonathan's bill = x

Number of people on Faye's bill = x + 2

We will use the following equation:

240 * (x + 2) = 360x

240x + 480 = 360x

240x - 360x = -480

-120x = - 480

x = -480/-120

x = 4 ⇒ x + 2 = 6

Jonathan has 4 people on his bill and Faye has 6.

5 0

3 years ago

I need to find the least common denominator of x+2/x^2+2x-3 , x-7/x^2+5x+6

grin007 [14]

Answer:

(x + 3)(x - 1)(x + 2)

Step-by-step explanation:

The fractions are:

$\dfrac{x + 2}{x^{2} + 2x - 3} \text{ and } \dfrac{x - 7}{x^{2} + 5x + 6}$

Factor each denominator

$x^{2} + 2x - 3 = (x + 3)(x - 1)\\x^{2} + 5x + 6 = (x + 3)(x + 2)$

We must find the least common multiple of the denominators. We take the maximum power of each separate factor.

Factors of first fraction = (x + 3) × (x - 1)

Factors of second fraction = (x + 3) × (x + 2)

LCM = (x + 3)(x - 1)(x + 2)

The lowest common denominator of the two fractions is (x + 3)(x - 1) (x + 2).

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3 years ago