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3 years ago

For what values of the variable does the following expression make sense:

1 answer:

3 0

This question revolves around the concept of domain (primarily) and range (secondarily). The domain of the square root function is [0, +infinity).

The domain of "three times the sqrt of a" shares that domain: [0, +infinity).

We were not asked to come up with the range, but if the range is wanted, it is

[0, +infinity).

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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).

4 0

3 years ago

Nick and Tasha are buying supplies for a camping trip. They need to buy chocolate bars to make s’mores, their favorite campfire

Harlamova29_29 [7]

Answer:

9/10

Step-by-step explanation:

first you find the lowest common denominator. 1/2 becomes 5/10, 2/5 becomes 4/10. 5/10+4/10=9/10

7 0

3 years ago

There are 4 3/8 pounds of bricks in a bag. Each brick weighs 7/8 of a pound. How many bricks are in the bag?

goldfiish [28.3K]

Hello :) the answer to your question would be 5. There are 5 bricks in each bag. 35/8

7 0

1 year ago

Read 2 more answers

The radius of a circle is 3.9 in. Find the circumference to the nearest tenth.

masha68 [24]

Answer:

C = 24.5 in

Step-by-step explanation:

Formula to find the circumference of a circle is :

C = 2πr

Here,

r ⇒ radius

So let us solve now.

C = 2πr

C = 2 × π × r

C = 2 × 3.14 × 3.9

C = 24.492 in

So, they've asked for nearest 10th.

Therefore, the answer will be 24.5 in.

Hope this helps you :-)

Let me know if you have any other questions :-)

8 0

2 years ago

Read 2 more answers

Orlando bought a number of hats at equal cost for $500. He sold all but 2 for $540 at a profit of $5 for each item. How many hat

Anna11 [10]

I think that the answer is seven but i’m not sure

6 0

3 years ago