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Mila [183]
3 years ago
13

Which rational exponent represents a cube root? A. 3/2 B. 1/2 C. 1/4 D. 1/3

Mathematics
2 answers:
bixtya [17]3 years ago
7 0

Answer:

1/3

verified on  a p e x

diamong [38]3 years ago
5 0

D. 1/3

A cube root can be written as an exponent: 1/3

\sqrt[3]{x} = x^{\frac{1}{3} }

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
Ivan

Answer:

The final answers are x = 10.385 OR x = -0.385  

Step-by-step explanation:

Given the equation is x^2 -4 = 10x

Rewriting it in quadratic form as:- x^2 -10x -4 = 0.

a = 1, b = -10, c = -4.

Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)

x = ( 10 ± √(100 -4*1*-4) ) / (2*1)

x = ( 10 ± √(100 +16) ) / (2)

x = ( 10 ± √(116) ) / (2)

x = ( 10 ± 10.77 ) / (2)

x = ( 10 + 10.77 ) / (2) OR x = ( 10 - 10.77 ) / (2)

x = 20.77/2 OR x = -0.77/2

x = 10.385 OR x = -0.385

Hence, final answers are x = 10.385 OR x = -0.385

3 0
2 years ago
Read 2 more answers
A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are ​C(x)=72,000+60x
myrzilka [38]

Answer:

Step-by-step explanation:

Given

Cost Price c(x)=72000+60x

Price p(x)=300-\frac{x}{20}

Revenue generated R(x)=P(x)\times x

where x=no of units

R(x)=300x-\frac{x^2}{20}

To get maxima and minima differentiate R(x)

\frac{\mathrm{d} R(x)}{\mathrm{d} x}=0

\frac{\mathrm{d} R(x)}{\mathrm{d} x}=300-2\times \frac{x}{20}=0

300=2\times \frac{x}{20}

x=3000

maximum Revenue R(x)=(300-\frac{300}{20})\times 300=4,50,000

(b)Profit=Revenue - cost

Profit=xp(x)-c(x)

Profit=300x-\frac{x^2}{20}-72000-60x

Profit(z)=240x-\frac{x^2}{20}-72000

differentiate Profit to get maximum value

\frac{\mathrm{d} z}{\mathrm{d} x}=240-2\times \frac{x}{20}

x=2400

maximum Profit z=2,16,000

(c)Now company decided to tax the company $ 55 for each set

Profit (z_1)=xp(x)-c(x)-55x

z_1=300x-\frac{x^2}{20}-72000x-60x^2-55x

z_1=185x-\frac{x^2}{20}-72,000

differentiate Profit to get maximum value

\frac{\mathrm{d} z_1}{\mathrm{d} x}=0

\frac{\mathrm{d} z_1}{\mathrm{d} x}=185-\frac{2x}{20}=0

x=1850

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6 0
3 years ago
Please help 1. Find the rectangular coordinates of (7, 150°).
cupoosta [38]

Answer:

Step-by-step explanation:

x=r cos \theta=7 cos150=7cos(180-30)=-7cos ~30=-\frac{7\sqrt{3} }{2} \\y=r~sin~\theta=7~sin ~150=7~sin~(180-30)=7~sin~30=\frac{7}{2} \\so ~coordinates ~are~(-\frac{7\sqrt{3}}{2} ,\frac{7}{2} )\\C

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Fantom [35]

Answer:

The constant value (often written k) relating amounts that rise or fall uniformly together. It is the ratio of the amounts y and x: k = y/x. Put another way: y = kx.

Step-by-step explanation:

The constant value (often written k) relating amounts that rise or fall uniformly together. It is the ratio of the amounts y and x: k = y/x. Put another way: y = kx.

3 0
3 years ago
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Can someone help me with five and six
Westkost [7]

Answer:

5) a)(-4,-6) b) (4,2)  c) (2,6)     6) (3,2)

Step-by-step explanation:

5) the solution is the points where the lines meet.

6) graphed the lines; the picture of the graph is attached below

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