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Gelneren [198K]

4 years ago

14

17,254 to the nearest 1000

2 answers:

amm18124 years ago

6 0

17,254 to the nearest 1000

would be 17,000 because its not a big enough # to round up

EastWind [94]4 years ago

3 0

Your answer would be 17,000

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Let's solve your equation step-by-step.

x2−6x+10=0

For this equation: a=1, b=-6, c=10

1x2+−6x+10=0

Step 1: Use quadratic formula with a=1, b=-6, c=10.

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Answer:

1. $(A,B) = (3,-2)$

2. The values of t are: -3, -1

Step-by-step explanation:

Given

$\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}$

$|t| = 2t + 3$

Required

Solve for the unknown

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Take LCM

$\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{(x - 2)(x-1)}$

Expand the denominator

$\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - 2x + x -2}$

$\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - x -2}$

Both denominators are equal; So, they can cancel out

$x + 7 = A(x+1) + B(x-2)$

Expand the expression on the right hand side

$x + 7 = Ax + A + Bx - 2B$

Collect and Group Like Terms

$x + 7 = (Ax + Bx) + (A - 2B)$

$x + 7 = (A + B)x + (A - 2B)$

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$A - 2B = 7$

Divide both sides by x in $(A + B)x = x$

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Make A the subject of formula

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Subtract 1 from both sides

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Divide both sides by -3

$B = -2$

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Hence;

$(A,B) = (3,-2)$

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Because we're dealing with an absolute function; the possible expressions that can be derived from the above expression are;

$t = 2t + 3$ and $-t = 2t + 3$

Solving $t = 2t + 3$

Make t the subject of formula

$t - 2t = 3$

$-t = 3$

Multiply both sides by -1

$t = -3$

Solving $-t = 2t + 3$

Make t the subject of formula

$-t - 2t = 3$

$-3t = 3$

Divide both sides by -3

$t = -1$

<em>Hence, the values of t are: -3, -1</em>

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