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solmaris [256]
3 years ago
9

How do you simplify this.

Formula1" title=" \sqrt{24x ^{2} } y ^{3} " alt=" \sqrt{24x ^{2} } y ^{3} " align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

\bf \sqrt{24x^2y^3}~~ \begin{cases} 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 6\\ y^3=y^{2+1}\\ \qquad y^2\cdot  y^1 \end{cases} \\\\\\ \sqrt{2^2\cdot 6\cdot x^2\cdot y^2\cdot y^1}\implies  2xy\sqrt{6y}

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A manufacturer needs to pay $300 to start making a certain new product. Besides the initial costs of $300, this product will als
maw [93]

Answer:

\displaystyle \frac{300+18x}{x}\le 24

Step-by-step explanation:

<u>Average Cost</u>

Making a certain new product costs $300 plus $18 per product.

The total cost for x products is given by:

300 + 18x

To get the average cost, we divide the total cost by the number of products manufactured:

\displaystyle A=\frac{300+18x}{x}

If the manufacturer wants to keep the average cost at $24 or less:

\mathbf{\displaystyle \frac{300+18x}{x}\le 24}

This is the required inequality

6 0
3 years ago
What is the product?
kirill [66]
I think is the answer because the right side =0 and so basically your left with the left side. 6(x² - 1)

6 0
3 years ago
If the sum of N25,300 is shared among three students P, Q, R such
Verizon [17]

Answer:

Step-by-step explanation:

We begin with the fact that P + Q + R = 25300. Now we need to state all of those variables in terms of just one, since we can't have more than one unknown in an equation.

If Q is half as much as P, then

Q = 1/2 P

If R has twice as much as Q, then

R = 2Q, but since Q = 1/2P then

R = 2(1/2P) which is just P. So

R = P and the equation then becomes

P + 1/2P + P = 25300 and

\frac{5}{2}P=25300\\(\frac{2}{5})\frac{5}{2}P=25300(\frac{2}{5})\\P=10120

R also is 10120.

Since Q is half of that,

Q = 5060

7 0
3 years ago
I need help with math! ASAP picture tagged
GalinKa [24]
Offer 2 is the best.

To find how much you get off of each car, multiply the amount by the fraction. For offer 2, do £11 100×⅓ and you should get 3700.

For offer 3 do £9600×¼ and you get 2400.

Since you get the most money off with offer 2, that would be the best offer.

Hope this helps :)
6 0
3 years ago
Find the equation of the line that passes through the points (3,6) and (-5,9).
marishachu [46]
First find slope
slope=m=(9-6)/(-5-3)
m=-3/8

now equation
(y-9)=-(3/8)*(x+5)
8y-72=-3x-15
3x+8y=57
4 0
4 years ago
Read 2 more answers
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