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3 years ago

Which number is a perfect cube? a.21 b.49 c.343 d.600

2 answers:

5 0

C. 343 because A perfect cube is the result of multiplying a number three times by itself.

1, 8, 27, 64, 125, 216, 343, and so on

aev [14]3 years ago

5 0

Answer:

343

Step-by-step explanation:

7*7*7=343

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3 years ago

These tables of values represent continuous functions. In which table do the values represent an exponential function?

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Answer:

The correct option is B.

Step-by-step explanation:

A function is called an exponential function if it has common ratio.

A function is called an linear function if it has common difference.

In option A.

$\frac{f(2)}{f(1)}=\frac{6}{3}=2$

$\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}$

$2\neq \frac{3}{2}$

Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.

In option B.

$\frac{f(2)}{f(1)}=\frac{6}{2}=3$

$\frac{f(3)}{f(2)}=\frac{18}{6}=3$

$3=3$

Since the given table has common ratio, therefore it is an exponential function. Option B is correct.

In option C.

$\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}$

$\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}$

$\frac{11}{5}\neq \frac{17}{11}$

Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.

In option D.

$\frac{f(2)}{f(1)}=\frac{8}{7}$

$\frac{f(3)}{f(2)}=\frac{9}{8}$

$\frac{8}{7}\neq \frac{9}{8}$

Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.

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3 years ago

Read 2 more answers

The roots of a quadratic equation depend on the values of the coefficients. True False

oksano4ka [1.4K]

Answer:

True

Step-by-step explanation:

The nature of roots of a quadratic equation are determined by

${b}^{2} - 4ac$

where a, b, and c are the coefficients of the quadratic equation

$a {x}^{2} + bx + c = 0$

Therefore it is true that, the roots of a quadratic equation depend on the values of the coefficients.

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3 years ago