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Darya [45]
2 years ago
13

Factor the trinomial 2x^2+15x+7

Mathematics
1 answer:
Mashutka [201]2 years ago
3 0

Answer:

(2x+1)(x+7)

Step-by-step explanation:

2x2+15x+7

For a polynomial of the form ax2+bx+c

, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15

.

Tap for more steps...

2x2+x+14x+7

Factor out the greatest common factor from each group.

Tap for more steps...

x(2x+1)+7(2x+1)

Factor the polynomial by factoring out the greatest common factor, 2x+1

.

(2x+1)(x+7)

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Step-by-step explanation:

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What is the difference between (Picture 1) and (picture 2)? A. 0 B. 2 C. 5 D. 6
Vesnalui [34]

Answer:

The difference between the picture is 0  , option A .

Step-by-step explanation:

Given two figures as :

In figure A

The expression is 1 + 3 n  , where n lies from 0 to 4

So , let f (n) = 1 + 3 n

Or,f ( n ) = 1 + 3 ×0 = 1 + 0 = 1

    f ( 1 ) = 1 + 3 ×1 = 1+ 3 = 4

   f ( 2 ) = 1 + 3 ×2 = 1+ 6 = 7

   f ( 3 ) = 1 + 3 ×3 = 1+ 9 = 10

   f ( 4 ) = 1 + 3 ×4 = 1+ 12 = 13

so, summation of ( 1 + 3 n ) from n = 0 to 4  = 1 + 4 + 7 + 10 + 13 = 35

In figure B

The expression is 3 i - 5  , where i lies from 2 to 6

So , let g (i) = 3 i - 5

Or,g ( 2 ) = 3 ×2 - 5 = 6 - 5 = 1

    g ( 3 ) = 3 ×3 - 5 = 9 - 5 = 4

   g ( 4 ) = 3 ×4 - 5 = 12 - 5 = 7

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so, summation of ( 3 i - 5 ) from i = 2 to 6  = 1 + 4 + 7 + 10 + 13 = 35

So, The difference between the summation of functions f(n) - g(i) is

f(n) - g(i) = 35 - 35

I.e  f(n) - g(i) = 0

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4 0
3 years ago
Forty-two less than a number z
Tasya [4]
42 less then a number z....

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2 years ago
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Troyanec [42]

Answer:

The area of the figure is 7.5 m².

Step-by-step explanation:

Given the lengths of diagonals

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so

Area = (2.5 × 6 ) ÷ 2

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Therefore, the area of the figure is 7.5 m².

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