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3 years ago

Solve equation 3x-8(2x+3)= -6(2x+5)

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

5 0

Answer:

x = 6

Step-by-step explanation:

pshichka [43]3 years ago

3 0

Answer:

x =6

Step-by-step explanation:

$3x-8(2x+3)= -6(2x+5)\\\\\mathrm{Expand}\:-8\left(2x+3\right):\quad -16x-24\\3x-16x-24=-6\left(2x+5\right)\\\\\mathrm{Add\:similar\:elements:}\:3x-16x=-13x\\-13x-24=-6\left(2x+5\right)\\\\\mathrm{Expand\:}-6\left(2x+5\right):\quad -12x-30\\-13x-24=-12x-30\\\\\mathrm{Add\:}24\mathrm{\:to\:both\:sides}\\-13x-24+24=-12x-30+24\\\\Simplify\\-13x=-12x-6\\\\\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}\\-13x+12x=-12x-6+12x\\\\Simplify\\-x=-6\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\$

$\frac{-x}{-1}=\frac{-6}{-1}\\\\Simplify\\\\x =6$

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Answer:

<h2>Leah is actually wrong, because those rectangles are similar.</h2>

Step-by-step explanation:

Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.

In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.

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As you can observe, both ratios are equal.

Therefore, those rectangles are congruent.

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The domain and the range of a function is the set of input and output values of the function.

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Let the number of tickets be x, and the revenue be y.

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