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3 years ago

15

Write the numbers 36,37,38,39,40,51,42,43 and 44in the sqaures so that each row column equal to120

1 answer:

Stells [14]3 years ago

5 0

-- I believe there's a typo in your question, and
you meant to type ' 41' instead of ' 51 '.

-- Here's how to arrange them:

-----------------------
| 43 | 36 | 41 |
-----------------------
| 38 | 40 | 42 |
-----------------------
| 39 | 44 | 37 |
-----------------------

The diagonals also add up to 120.

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$\\ \sf\longmapsto S=145201\left(1+\dfrac{5}{100}\right)^{36}$

$\\ \sf\longmapsto S=145201\left(\dfrac{105}{100}\right)^{36}$

$\\ \sf\longmapsto S=145201(1.05)^{36}$

$\\ \sf\longmapsto S=145201(5.79)$

$\\ \sf\longmapsto S\approx 840713$

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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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