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3 years ago

The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?

Mathematics

1 answer:

siniylev [52]3 years ago

7 0

Answer:

Step-by-step explanation:

Anwer A has the following equation:

$g(x)=\frac{3}{5}x^2-3$

In this equation, we can calculated the intercept replacing x by 0, as:

$g(x)=\frac{3}{5}0^2-3=-3$

if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.

Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:

$0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236$

It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.

So, the answer is A, $g(x)=\frac{3}{5}x^2-3$

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Keisha went into a park at 1:30 pm she hiked for 1 hour 35 minutes. Then she went to the picnic area for 45 minutes and left the

nata0808 [166]

Answer:

3:50pm

Time Keisha went to the park- 1:30pm

Time spent for hiking- 1hour 35 minutes

Time spent at the picnic area- 45 minutes

1: 30pm

+1. 35min

2: 65pm

But 60 minutes is 1 hour so the 65 will be changed to 1 hour 5 minutes making it

3: 05pm

+0: 45min

3: 50pm

Hence the time Keisha left the park was 3:50pm

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3 years ago

What is the cube root of 216x^9y^18?

PilotLPTM [1.2K]

Answer:

The cube root of given expression is $6x^3y^6$ .

Step-by-step explanation:

The given expression is

$\sqrt[3]{216x^9y^{18}}$

It can be written as

Use the exponent property: $a^{mn}=(a^m)^n$

$\sqrt[3]{216x^9y^{18}}=\sqrt[3]{6^3(x^3)^3(y^6)^{3}}$

$\sqrt[3]{216x^9y^{18}}=\sqrt[3]{(6x^3y^6)^{3}}$

$\sqrt[3]{216x^9y^{18}}=6x^3y^6$

Therefore the cube root of given expression is $6x^3y^6$ .

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3 years ago

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3 years ago

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2 years ago

A group conducted a poll of 2083 likely voters just prior to an election. The results of the survey indicated that candidate A w

mart [117]

Answer:

With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

Step-by-step explanation:

A group conducted a poll of 2083 likely voters.

The results of poll indicate candidate A would receive 47% of the popular vote and and candidate B would receive 44% of the popular vote.

The margin of error was reported to be 3%

So we are given two proportions;

A = 47%

B = 44%

Margin of Error = 3%

The margin of error shows by how many percentage points the results can deviate from the real proportion.

Case I:

A = 47% + 3% = 50%

B = 44% - 3% = 41%

Candidate A wins

Case II:

A = 47% - 3% = 44%

B = 44% + 3% = 47%

Candidate B wins

As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

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3 years ago