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Leokris [45]
3 years ago
15

Apply the distributive property and the greatest common factor to write an equivalent expression.

Mathematics
2 answers:
yarga [219]3 years ago
7 0
12(5x-2).................
ICE Princess25 [194]3 years ago
7 0

Answer:

12 \cdot (5x-2)

Step-by-step explanation:

The distributive property states that:

a \cdot (b+c) = a\cdot b+ a\cdot c

GCF(Greatest common factor) states that a largest number that divide two numbers.

Given the expression:

60x-24

GCF of 60x and 24 is, 12.

then;

Apply distributive property to the given expression we have;

12 \cdot (5x-2)

Therefore, an equivalent expression we get, 12 \cdot (5x-2)

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The expression simplified is -w^3-2w+3

I hope this helped
4 0
3 years ago
If x = 3 and Y = 5 work out the value of 2x squared + 3 Y squared
miskamm [114]

Answer:

Step-by-step explanation:

x = 3

y = 5

2x^2 + 3y^2 = 2 × 3^2 + 3 × 5^2

= 2 × 9 + 3 × 25

= 18 + 75

= 93

Hope this helps

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4 0
2 years ago
Read 2 more answers
A 5×6 rectangular grid with unit cells is given. Let A(0, 0) and B(5, 6) be the bottom-left corner and top-right corner, respect
harina [27]

Answer:

462 paths from A to B

Step-by-step explanation:

The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.

The first step is to represent the grid map itself. (See attachment 1)

From the question, we understand that:

  • Only right movement is allowed in the horizontal direction
  • Only up movement is allowed in the vertical direction

There are a several number of ways to navigate through. However, one possible way is in attachment 2

In attachment 2,

  • R represents the right movement
  • U represents the up movement

And we have:

R = 5     and    U = 6

The number of possible paths (N) is then calculated as:

N = \frac{(N + U)!}{N!U!}

Substitute values for N and U

N = \frac{(5 + 6)!}{5!6!}

N = \frac{11!}{5!6!}

N = \frac{39916800}{120 * 720}

N = \frac{39916800}{86400}

N = 462

<em>Hence, there are 462 possible paths from A to B</em>

4 0
3 years ago
"a computer system requires that passwords contain at least one digit. if "seven" characters are generated at random, and each i
PtichkaEL [24]

There are 36^7 different passwords available, incluiding ones that have repeated characters, are sequential characters, or are all the same letter or digit. Of these 26^7 are invalid. the probability of obtaining a valid password is

... 1 - 26^7/36^7 ≈ 0.8975

5 0
3 years ago
Find x so that a is parallel to b. (4x+11) , (8x+1)
yan [13]
4x + 11 = 8x + 1
        11 = 4x + 1
        10 = 4x
         /4    /4
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X = 2.5
4 0
3 years ago
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