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alexdok [17]
3 years ago
7

What is the value of X?

Mathematics
1 answer:
Ugo [173]3 years ago
4 0

∆ABC similar to ∆CBD

DB/AC = CB/AB

\frac{x}{7.5}  =  \frac{7.5}{x + 3}  \\ x(x + 3) =  {7.5}^{2}  =  { (\frac{15}{2}) }^{2}  \\  {x}^{2}  + 3x =  \frac{225}{4}  \\ 4 {x}^{2}  + 12x = 225 \\ 4 {x}^{2}  + 12x + 9 = 216 \\  {(2x + 3)}^{2}  = 216 \\ 2x + 3 = 6 \sqrt{6}  \\ x =  - 1.5 + 3 \sqrt{6}

approximately 6.1485

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A bakery sells 6350 muffins in 2010. The bakery sells 8310 muffins in 2015. Write a linear model that represents the number $y$
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Answer:

y = 392x + 6350

Step-by-step explanation:

Here, we calculate the average rate of change in the number of muffins sold between the two years

Mathematically that will be the difference in number of muffins divided by the number of years

We have this as;

(8310-6350)/(2015-2010)

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The general form of the equation of a straight line is;

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we have m as 392

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To get c, we make a substitution

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so;

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So the equation is;

y = 392x + 6350

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(1 point)
erik [133]

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Option (2)

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