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Marina CMI [18]

3 years ago

9

Ellen walks dogs on weekends. She get paid $8.50 per hour. Each day she works 5 hours and 45 minutes. Does she earn more or less

than $85 in one weekend? How much more or less? Explain.

1 answer:

matrenka [14]3 years ago

7 0

She gets paid more because their is three days in a weekend.

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Describe the solution(s) to 9x² - 36x + 36 = 0 by just determining the radicand. Show your work. (10 points) Part B: Describe th

Mariana [72]

The solution to the equations are:

9x² - 36x + 36 = 0 has two equal real solutions
x² - x + 4 = 0 has no real solutions
The factored expression of 4x² + 23 – 35 is 4(x² -3)

<h3>Part A: Describe the solution</h3>

The equation is given as:

$9x\² - 36x + 36 = 0$

The above equation is a quadratic equation which can be represented as:

$ax\² + bx + c = 0$

The discriminant (d) is calculated as:

$d = b\² - 4ac$

So, we have:

$d = (-36)\² - 4 * 9 * 36$

$d = 0$

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

<h3>Part B: Describe the solution</h3>

The equation is given as:

$x\² - x + 4 = 0$

The above equation can be represented as:

$ax\² + bx + c = 0$

The discriminant (d) is calculated as:

$d = b\² - 4ac$

So, we have:

$d = (-1)\² - 4 * 1 * 4$

$d = -15$

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

$4x\² + 23 - 35$

Evaluate the difference

$4x\² -12$

Factor out 4

$4(x\² -3)$

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

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