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3 years ago

Divide and simplify.

Mathematics

1 answer:

vredina [299]3 years ago

3 0

Answer:

$\frac{ {x}^{2} + 10x + 16 }{ {x } {}^{2} + 6x + 8} \div \frac{1}{x + 2}$

$\frac{ {x}^{2} + 8 x+ 2x + 16}{ {x}^{2} + 4x + 2x + 8} \times (x + 2)$

$\frac{x(x + 8) + 2 (x + 8)}{x(x + 4) + 2(x + 4)} \times (x + 2)$

$\frac{( x + 8)(x + 2)}{(x + 2)(x + 4)} \times ( x + 2)$

$\frac{( x + 8)(x + 2)}{(x + 4)}$

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What is the product of (x-2)(x+2)?

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The difference of squares is (a - b)(a + b) = a² - b². Since a = x and b = 2, the answer is x² - 4.

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Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value

algol [13]

Answer:

Minimum value of function $C=x+10y$ is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

$C=x+10y$

Subject to constraints:

$x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0$

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering $x+y\geq 9$ , corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

$C=x+10y$

at A(0,9)

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at B(3,9)

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at C(3,6)

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3 years ago

Need help with this assoon as possible

alexandr402 [8]

The equation for r in the distance formula is r = d/t

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3 years ago

1+4 = 5 2+5 = 12 3+6 = 19 8+11 = ?

s344n2d4d5 [400]

1+4=5

2+5=7

5+7=12

3+6=9

12+9=21

I do not see21 up here so please cheek your question again or please change the 19 to a 21

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3 years ago

A recipe that serves 6 people requires 210 grams of sugar what is the total amount of sugar needed if the recipe is changed to s

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Answer:

The answer is 350 grams of sugar

Step-by-step explanation:

You use a ratio

$\frac{6}{10}$ = $\frac{210}{?}$

Compare the numerators. Since

6 ⋅ 35 =210 , multiply the denominator 10 by 35 to get 350

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