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Sindrei [870]
1 year ago
12

Factor and solves the polynomial x(to the 2nd power) + 5x + 4 = 0 x= (blank) and x= (blank)

Mathematics
1 answer:
zubka84 [21]1 year ago
3 0

Answer:

x = -4~ \text{and}~ x = -1

Step-by-step explanation:

~~~~~~~x^2 +5x +4  =0\\\\\implies x^2 +4x +x  +4 = 0\\\\\implies x(x+4) +(x+4) = 0\\\\\implies (x+4)(x+1) = 0\\\\\implies x = -4,~~ x = -1

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Malcolm is trying a very low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels s
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Answer:

The correct option is 2.

Step-by-step explanation:

The given inequalities are

50             .... (1)

2x+10            .... (2)

Solve each inequality.

Subtract 10 from each side of inequality (1).

50-10

40

Divide both the sides by 2.

20

The value of x is more than 20.

Subtract 10 from each side of inequality (2).

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Divide both the sides by 2.

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The value of x is less than 50.

Since x > 20 and x < 50, therefore Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.

Hence the correct option is 2.

4 0
3 years ago
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The answer to the question

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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

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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

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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

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Hence The difference between the picture is 0  , option A .  Answer

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