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1 year ago

5

The graph F(x) shown below resembles the graph of G(x)=x³, but it has been flipped over the x-axis. Which of the following is th

e equation of F(x)?

1 answer:

Alexandra [31]1 year ago

7 0

The equation of the function f(x) is f(x) = -x^3

<h3>How to determine the equation of f(x)?</h3>

The function is given as:

g(x) = x^3

When flipped over the x-axis, the rule is:

f(x) = -g(x)

So, we have:

f(x) = -x^3

Hence, the equation of the function f(x) is f(x) = -x^3

Read more about transformation at:

brainly.com/question/4289712

#SPJ1

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What is the quotient and remainder of 26 divided by4

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Answer:

6 with a remainder of 2

Step-by-step explanation:

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3 years ago

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Answer:

1. $P(x)$ ÷ $Q(x)$ ---> $\frac{-3x + 2}{3(3x - 1)}$

2. $P(x) + Q(x)$ ---> $\frac{2(6x - 1)}{(3x - 1)(-3x + 2)}$

3. $P(x) - Q(x)$ ---> $\frac{-2(12x - 5)}{(3x - 1)(-3x + 2)}$

4. $P(x)*Q(x)$ --> $\frac{12}{(3x - 1)(-3x + 2)}$

Step-by-step explanation:

Given that:

1. $P(x) = \frac{2}{3x - 1}$

$Q(x) = \frac{6}{-3x + 2}$

Thus,

$P(x)$ ÷ $Q(x)$ = $\frac{2}{3x - 1}$ ÷ $\frac{6}{-3x + 2}$

Flip the 2nd function, Q(x), upside down to change the process to multiplication.

$\frac{2}{3x - 1}*\frac{-3x + 2}{6}$

$\frac{2(-3x + 2)}{6(3x - 1)}$

$= \frac{-3x + 2}{3(3x - 1)}$

2. $P(x) + Q(x)$ = $\frac{2}{3x - 1} + \frac{6}{-3x + 2}$

Make both expressions as a single fraction by finding, the common denominator, divide the common denominator by each denominator, and then multiply by the numerator. You'd have the following below:

$\frac{2(-3x + 2) + 6(3x - 1)}{(3x - 1)(-3x + 2)}$

$\frac{-6x + 4 + 18x - 6}{(3x - 1)(-3x + 2)}$

$\frac{-6x + 18x + 4 - 6}{(3x - 1)(-3x + 2)}$

$\frac{12x - 2}{(3x - 1)(-3x + 2)}$

$= \frac{2(6x - 1}{(3x - 1)(-3x + 2)}$

3. $P(x) - Q(x)$ = $\frac{2}{3x - 1} - \frac{6}{-3x + 2}$

$\frac{2(-3x + 2) - 6(3x - 1)}{(3x - 1)(-3x + 2)}$

$\frac{-6x + 4 - 18x + 6}{(3x - 1)(-3x + 2)}$

$\frac{-6x - 18x + 4 + 6}{(3x - 1)(-3x + 2)}$

$\frac{-24x + 10}{(3x - 1)(-3x + 2)}$

$= \frac{-2(12x - 5}{(3x - 1)(-3x + 2)}$

4. $P(x)*Q(x) = \frac{2}{3x - 1}* \frac{6}{-3x + 2}$

$P(x)*Q(x) = \frac{2*6}{(3x - 1)(-3x + 2)}$

$P(x)*Q(x) = \frac{12}{(3x - 1)(-3x + 2)}$

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3 years ago

How do you do 3(4y-7)=15y+6

cestrela7 [59]

Answer:

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Step-by-step explanation:

Perform the indicated multiplication:

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Combining like terms, we get:

7y = 27, so that y = 27/7

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3 years ago

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Answer:

840 ways.

Step-by-step explanation:

For the first jar, you have 7 marbles to put in.

For the second, you now have 6 marbles to put in.

For the third, you have 5 marbles.

For the fourth, you have 4 marbles.

7 * 6 * 5 * 4

= 42 * 20

= 840 ways.

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