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2 years ago

14

What is the product of x(x+1)?

1 answer:

JulsSmile [24]2 years ago

8 0

Hey there!

In order to find out your result of this problem you have to distribute

$x(x +1) \\ \\ x(x) + x(1) \\ \\ x(x) = x^2 \\ \\ x(1) = x \\ \\ Answer: x^2 + x$

Good luck on your assignment and enjoy your day!

~ $LoveYourselfFirst:)$

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The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers

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<u>Solution:</u>

Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.

Is this situation defined by a linear function?

Yes, the above given situation is defined by a linear function.

Now, let us see the linear equation for above situation

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2 years ago

Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.

Vera_Pavlovna [14]

Answer:

$\boxed {x = -\frac{1}{7}}$

Step-by-step explanation:

Solve for the value of $x$ :

$6(4x + 5) = 3(x + 8) + 3$

-Use <u>Distributive Property</u>:

$6(4x + 5) = 3(x + 8) + 3$

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-Combine like terms:

$24x + 30 = 3x + 24 + 3$

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-Take $3x$ and subtract it from $24x$ :

$24x + 30 -3x = 3x - 3x + 27$

$21x + 30 = 27$

-Subtract both sides by $30$ :

$21x + 30 - 30 = 27 - 30$

$21x = -3$

-Divide both sides by $21$ :

$\frac{21x}{21} = \frac{-3}{21}$

$x = \frac{-3}{21}$

-Reduce the fraction to the lowest term by extracting and canceling out $3$ :

$x = \frac{-3\div3}{21 \div 3}$

$\boxed {x = -\frac{1}{7}}$

Therefore, the value of $x$ is $-\frac{1}{7}$ .

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