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Romashka [77]
3 years ago
13

Which point is on the graph of f(x)=6^x?

Mathematics
2 answers:
VikaD [51]3 years ago
7 0

Answer:

The point (1 | 6) is on the graph. --> C


barxatty [35]3 years ago
5 0

Answer:

C ) (1,6)

Step-by-step explanation:

Since in a function, we can pick random value for x then plug it in the function. Let's pick and plug some values:

f(x)=6^{x}\Rightarrow f(0)=(0,1)\Rightarrow f(1)=6^{1}\Rightarrow f(1)=6\Rightarrow (1,6)

By the order, the first value is for x, and the second one y.

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Can someone help me out with some pesky math quiz :) I put a pic
Sindrei [870]

1. Simplifying ∛54 gives 3∛2

2. 27^1/3 * (27)^3 is equal to  27

3. The expression (2j4k)^4/5 can be written as \sqrt[4]{32j^{20}k^{5}  }^{5} making the first option the correct option

4. simplifying \sqrt[4]{16x^{4} y^{12} } will result to 2x∛y

5. simplifying \sqrt[5]{2940x^{13} y^{7} } will result to 14x^{6} y^{3} \sqrt{15xy} making the last option the correct option

<h3>How to simplify \sqrt[5]{2940x^{13} y^{7} }</h3>

<u>given data</u>

\sqrt[5]{2940x^{13} y^{7} }

= ( 2940 * x^13 * y^7 )^1/5

=  ( 2^2 * 5 * 3 * 7^2 * x^{12} * x * y^6 * y )^{1/5}

=  ( 2^2 * 5 * 3 * 7^2 * x^{12} * x * y^6 * y )^{1/5*5/2}

=  ( 2^2 * 5 * 3 * 7^2 * x^{12} * x * y^6 * y )^{5/5*1/2}

multiplying the values inside the parenthesis by ^1/2

= ( 2 * 5^{1/2} * 3^{1/2} * 7 * x^{6} * x^{1/2} * y^3 * y^{1/2} )

= ( 2 * 5^{1/2} * 3^{1/2} * 7 * x^{6} * x^{1/2} * y^3 * y^{1/2} )

= ( 14* 5^{1/2} * 3^{1/2} * x^{6} * x^{1/2} * y^3 * y^{1/2} )

= ( 14 * x^6 * y^3 ) ( 5^{1/2} * 3^{1/2}  * x^{1/2} * y^{1/2} )

= ( 14x^6y^3 ) ( 15^{1/2} * x^{1/2} * y^{1/2} )

= ( 14x^6y^3 ) ( 15xy)^{1/2}

= ( 14x^6y^3 ) \sqrt{( 15xy)}

we can therefore say that the last option is the answer

Read more on equations here: brainly.com/question/22688504

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3 0
1 year ago
A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?
alexandr1967 [171]

Answer:

The probability that the last card dealt is an ace is \frac{1}{13}.

Step-by-step explanation:

Given : A deck of ordinary cards is shuffled and 13 cards are dealt.

To find : What is the probability that the last card dealt is an ace?

Solution :

There are total 52 cards.

The total arrangement of cards is 52!.

There is 4 ace cards in total.

Arrangement for containing ace as the 13th card is 4\times 51!.

The probability that the last card dealt is an ace is

P=\frac{4\times 51!}{52!}

P=\frac{4\times 51!}{52\times 51!}

P=\frac{4}{52}

P=\frac{1}{13}

Therefore, the probability that the last card dealt is an ace is \frac{1}{13}.

4 0
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Answer:

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Step-by-step explanation:

<u>Step 1:  FOIL</u>

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(3) + (-18i) + (-3i) + (18i^2)

3 - 18i - 3i - 18

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Answer:  -15 - 21i

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