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3 years ago

8

What is the domain of y=4√4x+2

1 answer:

ElenaW [278]3 years ago

7 0

Y = ⁴√(4x + 2)
Since the index is even, the radicand has to be greater than or equal to zero. Take whatever is under the radical sign and set it ≥ zero and solve. This will be the domain of the function.
4x + 2 ≥ 0
Subtract 2 from both sides
4x ≥ -2
Divide both sides by 4
x ≥ -2/4
x ≥ -1/2

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The Waverly Brush Company issued 4,000 shares of common stock worth $200,000.00 total. What is the par value of each share?

Lesechka [4]

What you have to do for this is to divide the total worth ($200,000.00) by the number of shares.

So this means that we need to count:

200 000 ÷4 000

here's a trick:
if you divide two numbers with many 0s at the end, you can always erase the SAME mount of 0s at the end (this is equivalent to dividing by 10).

so
200 000 ÷4 000

is equivalent to :

200 ÷4

which is 50! (4*50=200)

so the answer is that each share was worth 50 dollars.

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4 years ago

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3 years ago

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Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.

Nookie1986 [14]

Answer:

$(2\cdot 6)^{\frac{3}{2}}=24(3)^{\frac{1}{2}}$

Step-by-step explanation:

The given expression is $(2*6)^{\frac{3}{2}}$

We multiply within the parenthesis to get:

$(12)^{\frac{3}{2}}$

Recall that: $a^{\frac{m}{n} } =\sqrt[n]{x^m}$

We apply this property to get:

$(12)^{\frac{3}{2}}=\sqrt{12^3}$

$(12)^{\frac{3}{2}}=\sqrt{12^2*12}$

This simplifies to

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3 years ago

Kyle gave 2/7 of his money to his wife and spent 3/5 of the remainder. If he had $300 left, how much money did he have at first?

weqwewe [10]

<u>Answer: </u>

Kyle gave 2/7th of his money to his wife and spent 3/5 of the remainder. If he had $300 left, the money had by Kyle at first is $1050

<u>Solution: </u>

Step 1:

Consider “x” as the money which Kyle had initially.

From question, Kyle gave 2/7th of his money to his wife. So the remaining money left with Kyle is given as,

$= 1 - \frac{2}{7}$

$= \frac{7 - 2}{7} = \frac{5}{7}$ ----- eqn 1

Now the remaining money left with Kyle is 5/7th.Given that Kyle spent 3/5 of the remaining money.

Now the remaining money left with Kyle is given as

$= 1 - \frac{3}{5} = \frac{5 - 3}{5} = \frac{2}{5}$

Now kyle is left with $300, which is 2/5th of the initial money x .

We get equation as

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Now Kyle is left with 750$ which is 5/7th of the initial amount x.( by using eqn 1)

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