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4 years ago

Solve for x in x^3+64=0

Mathematics

2 answers:

lozanna [386]4 years ago

6 0

X=-4, the cube root of -64 is 4. (subtract 64 from both sides and find cube root)

Ganezh [65]4 years ago

4 0

It’s -4
1. Subtract 64 from both sides
X^3-64

2. Take the cube root of both sides
X=^3squareroot-64

3. Simplify the exponent
-4

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Adding and subtracting positive and negative numbers

algol13

Answer:

Step-by-step explanation:

Rule Example

+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5

−(−) 6−(−3) = 6 + 3 = 9

+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5

−(+) 8−(+2) = 8 − 2 = 6

5 0

3 years ago

Read 2 more answers

A boy bought an article for £9. He spent £4

Marina86 [1]

Answer:

Profit % = 39%

Step-by-step explanation:

Cost price of the article = 9

Price for repairing = 4

Therefore, Total cost of the article = 9 + 4 = 13

Selling price of the article = 18

Profit = 18 - 13 = 5

Hence,

$Profit \% = \frac{Profit}{Cost \ price} \times 100\\\\$

$= \frac{5}{13} \times 100\\\\=38.46 \%\\\\=38.5 \%$

Profit percent (to the nearest %) = 39%

4 0

3 years ago

You are asked to recommend whether a firm should make or purchase product A. The following are data concerning the two options.

MArishka [77]

Answer:

a. 6000 units

b. The firm should make the product

2. $ 184200

3. $ 197500

Step-by-step explanation:

a. When is someone indifferent towards buying something? In this case when the cost in dollars is the same. The Break Even Point <u><em>(BEP)</em></u> makes sense when the firm is indifferent between purchasing it or manufacturing it because the cost of either one or the other is the same. We know the cost of purchasing it ($25 per unit), now we would have to know the cost of producing it with the given data.

Cost of production = Fixed cost + Variable cost

Fixed cost = Rental + labor

Fixed cost = 39200 + ( 5 Operator * 5 days * 8 hours * $14 per hour)

Fixed cost = 39200 + 2800

Fixed cost = 42000

Variable cost = $18 u u (units)

Cost of production = 42000 + 18u

When does this cost of production is equal to the cost of purchase?

when

Cost of production = Cost of purchase

42000- 18u = 25u

42000 = 25u - 18 u

42000 = 7u

u = 42000/7

u= 6000

b. The firm should make the product because the cost would be cheaper than purchasing it. It costs 184200 dollars to produce 7900 units vs 197500 dollars when buying them.

2. The cost of production is

Cost of production = 42000 + 18u

Cost of production = 42000 + 18(7900)

Cost of production = 42000 + 142200

Cost of production = 184200

3. The cost of purchase is

Cost of purchase = 25u

Cost of purchase = 25(7900)

Cost of purchase = 197500

3 0

3 years ago

A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compareover the inte

Kobotan [32]

To check the decay rate, we need to check the variation in y-axis.

Since our interval is

$-2We need to evaluate both function at those limits.At x = -2, we have a value of 4 for both of them, at x = 0 we have 1 for the exponential function and 0 to the quadratic function. Let's call the exponential f(x), and the quadratic g(x).[tex]\begin{gathered} f(-2)=g(-2)=4 \\ f(0)=1 \\ g(0)=0 \end{gathered}$

To compare the decay rates we need to check the variation on the y-axis of both functions.