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Veronika [31]
3 years ago
6

Rewrite the expression by factoring out the greatest common factor: 5x + 15 *

Mathematics
1 answer:
pshichka [43]3 years ago
4 0

Answer:

5(x+3)

Step-by-step explanation:

The greatest common factor from both numbers is 5, so you divide them both by 5 and put the 5 outside of the parenthesis and then put x+3 inside the parenthesis because 5x divided by 5 is x and 15 divided by 5 is 3.

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Step-by-step explanation:

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3 years ago
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A because 5*4 = 20 that why its a
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How do you do this question?
likoan [24]

Answer:

a) -7/9

b) 16 / (n² + 15n + 56)

c) 1

Step-by-step explanation:

When n = 1, there is only one term in the series, so a₁ = s₁.

a₁ = (1 − 8) / (1 + 8)

a₁ = -7/9

The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.

sₙ = sₙ₋₁ + aₙ

(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ

(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ

aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)

If you wish, you can simplify by finding the common denominator.

aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]

aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)

aₙ = 16 / (n² + 15n + 56)

The infinite sum is:

∑₁°° aₙ = lim(n→∞) sₙ

∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)

∑₁°° aₙ = 1

8 0
3 years ago
3x2=7 5x4=23 7x6=47 9x8=79 10x9=?
Mashcka [7]
(a\times b) = (a\times b) +(b -1) = c \\  \\ 3 \times 2 = (3\times 2) +(2-1) = 6 +1=7 \\  \\ 5 \times 4 = (5\times 4) +(4-1) = 20 +3=23 \\  \\ 7 \times 6 = (7\times 6) +(6-1) = 42 +5=47 \\  \\ 9 \times 8= (9\times 8) +(8-1) = 72 +7=79 \\  \\  \\  \\ 10 \times 9 = (10\times 9) +(9-1) = 90 +8=\boxed {\bf{98}}\\\sf {10\times 9 = \boxed{\bf {98}}}
3 0
3 years ago
A rectangular box has dimensions 12 by 16 by 21, as shown here:
professor190 [17]

Answer: 29

Step-by-step explanation:

d = √(l2 + w2 + h2)

d = √(12^2+ 16^2+ 21^2) = 29

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2 years ago
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