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kobusy [5.1K]
2 years ago
15

PLEASE HELP ME IM DESPERATE ​

Mathematics
1 answer:
Andrews [41]2 years ago
3 0

Answer:

y = - \frac{1}{2} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{2} , thus

y = - \frac{1}{2} x + c ← is the partial equation

To find c , substitute (4, - 5) into the partial equation

- 5 = - 2 + c ⇒ c = - 5 + 2 = - 3

y = - \frac{1}{2} x - 3 ← equation of line

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Yanka [14]
So, it depends. Imma give you two answers, all of which are the same at the end. They just have different ways to do it.

1. So, it's<span> $9 per hour, or $9 per 60 min </span>
<span>You can write a ratio: 9/60 = n/1 </span>
<span>In this case you have to divide 9 by 60 cause
60/60 = 1 </span>
<span>And n=0.15 </span>
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2.</span><span>$9 = 900 cents </span>
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8 0
3 years ago
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-1/6(2x + 12) = 1/3x + 12
Hitman42 [59]
Hope this helps
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7 0
3 years ago
Twenty different books are to be put on five book shelves, each of which holds at least twenty books.
olya-2409 [2.1K]

Answer:

(a) 10,626 different arrangements

(b) 95,367,431,640,625 different arrangements

(c) 2.5852017 × 10²² different arrangements

Step-by-step explanation:

(a) How many different arrangements are there if you only care about the number of books on the shelves (and not which book is where)?

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626 arrangements

(b) How many different arrangements are there if you care about which books are where, but the order of the books on the shelves doesn't matter?

Since the order of the books on the shelves does not matter,

The calculation is given as

5²⁰ = 95,367,431,640,625 arrangements

(c) How many different arrangements are there if the order on the shelves does matter?

Since order matters now

Step 1

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626

Step 2

We find the factorial of the number books

= 20!

= 2,432,902,008,176,640,000

Step 3

The different arrangements there are if the order on the shelves does matter is calculated

= 10,626 × 2,432,902,008,176,640,000

= 2.5852017 × 10²² different arrangements

8 0
3 years ago
Factor completely: 3a^2 + 5a − 12
jarptica [38.1K]
Your answer would be the second option, (3a - 4)(a + 3).

We can see that this is the correct answer as if we expand it using FOIL, we get 3a² + 5a - 12:

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= 3a² + 5a - 12.

I hope this helps!
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