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Vera_Pavlovna [14]
4 years ago
8

Three research departments have 9 , 6 , and 8 members, respectively. Each department is to select a delegate and an alternate to

represent the department at a conference. In how many ways can this be done?
Mathematics
1 answer:
erastova [34]4 years ago
6 0
The should be 158 ways, because 9*8+8*7+6*5=158.
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How to divide (x^2+5x-36)÷(x-4)
mr_godi [17]

Answer:

x + 9

Step-by-step explanation:

Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 5 -36

↓ 4 36

----------------

1 9 0 → x + 9

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em><em>,</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have NO REMAINDER. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, and the 9 follows right behind it, giving you the other factor of x + 9.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

4 0
3 years ago
PLEASE HELP!!!!!! WILL MARK BRAINIEST FOR BEST ANSWER!!!!!!
kupik [55]

2a + 7b = 0 ⇒ 10a + 35b = 0

3a - 5b = 31 ⇒ 21a - 35b = 217

31a = 217

a = 7

2a + 7b = 0

2(7) + 7b = 0

14 + 7b = 0

7b = -14

b = -2

(x, y) = (7, -2)

1. Associative Property of Addition

2. Addition Property of Equality

3. Division Property of Equality

4. Substitution Property of Equality

5. Multiplication Property of Equality

6. Subtraction Property of Equality

7. Simplify

3 0
4 years ago
Find the distance between (-4,-6) and (-1,-4).<br> Give your answer correct to 1 decimal place.
Scilla [17]

Answer:

Distance between two point = 3.6 (Approx.)

Step-by-step explanation:

Given:

Coordinate;

(-4, -6) and (-1, -4)

Find:

Distance between two point

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between two point = √(-4 + 1)² + (-6 + 4)²

Distance between two point = √(-3)² + (-2)²

Distance between two point = √9 + 4

Distance between two point = √13

Distance between two point = 3.6 (Approx.)

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Reika [66]

Answer:

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Step-by-step explanation:

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to set up a model linear equation to fit real world applications, what should always be the first step?​
Brilliant_brown [7]

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