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2 years ago

Expand -2/20 (1 - 2x + 2)

Mathematics

1 answer:

leonid [27]2 years ago

6 0

The expansion of the expression is $\frac{4x - 6}{20}$

<h3>How to expand the expression</h3>

Given the expression;

-2/20 (1 - 2x + 2)

= $\frac{-2}{20}$ × (1 -2x +2 )

Open up the bracket by multiply with -2, we have

= $\frac{-2 + 4x -4}{20}$

Collect like terms in the numerator

= $\frac{4x - 6}{20}$

Thus, the expression of the expression is $\frac{4x - 6}{20}$

Learn more about algebraic expression here:

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Convert 120 lbs to kilograms. (1 kg = 2.2 lbs)

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Lila bought a green poster that measured 36 inches by 24 inches and a red poster that measured 12 inches by 18 inches. If the po

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Answer:

Total amount she spent on the posters = $43.2 + $10.8 = $54

Step-by-step explanation:

Lila bought a green poster that measured 36 inches by 24 inches and a red poster that measured 12 inches by 18 inches. The posters cost per square inch is $0.05 .

To know how much she spend on the posters one have to convert the measured values of the posters to square inches(area).

Green poster

area of rectangle = Lb

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area of rectangle = 864 square inch

since 1 square inch = $0.05

864 square inch = ?

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3 years ago

The first terms of an infinite geometric sequence, Un are 2, 6, 18, 54... The first terms of a second infinite geometric sequenc

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Answer:

r = 9 and m = 112

Step-by-step explanation:

$\sum_{k=1}^{225}W_{k}=\sum_{k=0}^{m}4r^{k}$

Write W in terms of U and V.

$\sum_{k=1}^{225}(U_{k}+V_{k})=\sum_{k=0}^{m}4r^{k}\\\sum_{k=1}^{225}U_{k}+\sum_{k=1}^{225}V_{k}=\sum_{k=0}^{m}4r^{k}$

Define U and V using geometric series formula.

$\sum_{k=1}^{225}2(3)^{k-1}+\sum_{k=1}^{225}2(-3)^{k-1}=\sum_{k=0}^{m}4r^{k}$

Use sum of geometric series formula.

$2(\frac{1-(3)^{225}}{1-3})+2(\frac{1-(-3)^{225}}{1-(-3)})=4(\frac{1-(r)^{m+1}}{1-r})$

Simplify.

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3 years ago

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V = 619

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Olivia has 619 coins.

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4 years ago

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