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2 years ago

(b). Find the values of a and b that make f continuous everywhere.

Mathematics

1 answer:

alexgriva [62]2 years ago

4 0

Answer:

a=-13/10

b=-5/2

Step-by-step explanation:

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27 • a • a • a as an expression?

Alekssandra [29.7K]

the expression is 27a^3 or (3a)^3

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3 years ago

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What is the answer to this 4×3^2?<br><br>Evaluate the expression.

Neporo4naja [7]

The answer to this question is 36

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3 years ago

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Which statement is true?

love history [14]

<h2>Hello!</h2>

The answer is:

The second option,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Discarding each given option in order to find the correct one, we have:

<h2>First option,</h2>

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}$

<h2>Second option,</h2>

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

The statement is true, we can prove it by using the following properties of exponents:

$(a^{b})^{c}=a^{bc}$

$\sqrt[n]{x^{m} }=x^{\frac{m}{n} }$

We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

So, applying the properties, we have:

$(\sqrt[m]{x^{a} } )^{b}=(x^{\frac{a}{m}})^{b}=x^{\frac{ab}{m}}\\\\x^{\frac{ab}{m}}=\sqrt[m]{x^{ab} }$

Hence,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

$a\sqrt[n]{x}+b\sqrt[n]{x}=ab\sqrt[n]{x}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$a\sqrt[n]{x}+b\sqrt[n]{x}=(a+b)\sqrt[n]{x}$

<h2>Fourth option,</h2>

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=m\sqrt{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

Hence, the answer is, the statement that is true is the second statement:

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Have a nice day!

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3 years ago

What is the correlation coefficient ?

steposvetlana [31]

Answer:

r = correlation coefficient

Step-by-step explanation:

3 0

2 years ago

62 pls help 10 points pls help me

Nitella [24]

For large candles, the price is $10. They sold 42, we can say that. 42*10 is the total price or revenue without the cost to make the candles included. The cost to make the candles is $x. So we can say profit for large candles = (420 - 42x).

For small candles. The price is $5 and 56 are sold. The cost is again $x. So the profit for small candles is (280 - 56x).

So the total profit for part one of your question is (420 - 42x) + (280 - 56x).

In part to we are told that large candles cost $5 and small candles cost $3. Substituing this into are expression gives (420 - 42(5)) + (280 - 56(3)). This gives us $322. So the total profit is $322.

4 0

3 years ago