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irina [24]
3 years ago
12

20" id="TexFormula1" title=" \frac{x}{3x - 6} \ \div \frac{x + 9}{x - 2} " alt=" \frac{x}{3x - 6} \ \div \frac{x + 9}{x - 2} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
mojhsa [17]3 years ago
7 0
Simplify the following:
x/((x - 2) (x + 9) (3 x - 6))

Factor 3 out of 3 x - 6:
x/(3 (x - 2) (x - 2) (x + 9))

Combine powers. x/((x - 2) (x + 9)×3 (x - 2)) = (x (x - 2)^(-1 - 1))/((x + 9)×3):
(x (x - 2)^(-1 - 1))/(3 (x + 9))

-1 - 1 = -2:
Answer: (x (x - 2)^(-2))/(3 (x + 9))
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Please help me with all three! 25 Points!!
Gnoma [55]

a. 28 * 63

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b. 17(59)

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850 + 153=1003         500 + 90 + 63 =1003


c.458 (15)

458 (10) +458 (5)   or  10 (400) + 10 (50) + 10 (8) + 5 (400) +5 (50) + 5 (8)

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4 years ago
Which ordered pair is the best estimate for the solution of the system of equations?
Rasek [7]

Answer:

<u>The ordered pair of the solution is (0.022, -0.55). None of the alternatives given we can consider as the best estimate because there isn't at least one positive value for x, when it's actually positive. Picking (0, -2) as the best estimate is also far from the best estimate.</u>

Step-by-step explanation:

Let's solve the system of equations:

y = −25x

−2y = 5x+1

***********************

Substituting y in the 2nd equation:

-2 (-25x) = 5x + 1

50x = 5x + 1

45x = 1

x = 1/45

x = 0.022

**********************

Solving for y in the 1st equation:

y = -25 (0.022)

y = - 0.55

<u>The ordered pair of the solution is (0.022, -0.55). None of the alternatives given we can consider as the best estimate because there isn't at least one positive value for x, when it's actually positive. Picking (0, -2) as the best estimate is also far from the best estimate.</u>

6 0
3 years ago
What is the area of the triangle in this coordinate plane?
DanielleElmas [232]
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4 0
4 years ago
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Troyanec [42]

Answer: Their total budget last year was $40,000.

Step-by-step explanation:

Given : The Smiths spend 6% of their budget on entertainment.

i.e. , The money they spend on entertainment = 0.06 x ( Total budget)

{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)

Since , this year they plan to spend $2,580 on entertainment.

i.e. 0.06 x ( Total budget )  = $2,580

On dividing both sides by 0.06 , we get

( Total budget )  = $2,580 ÷ 0.06

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Also, Their total budget this year is $3,000 more than last year.

Therefore , their last year total budget = ( Total budget this year ) - $3000

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Hence, their total budget last year was $40,000.

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