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Artemon [7]
3 years ago
14

A pea seller had some peas. He sold 40% of his stock and still had 420 peas. Originally, he had:

Mathematics
1 answer:
Elden [556K]3 years ago
6 0
700. 420/60=7x40=280+420
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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int
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Answer:

f(x) = 3(x -\frac{2}{3})^2 -\frac{22}{3}

The vertex is (\frac{2}{3}, -\frac{22}{3})

Step-by-step explanation:

For a general quadratic function the form is:

ax ^ 2 + bx + c

For the function

f(x) = 3x ^ 2 -4x -6

Take common factor 3.

f(x) = 3(x ^ 2 -\frac{4}{3}x - 2)

The values of the coefficients for the function within the parenthesis are the following: a = 1, b = -\frac{4}{3}, c = -2

Take the value of b and divide it by 2. Then, the result obtained squares it.

\frac{b}{2}= -\frac{2}{3}

(\frac{b}{2})^2=\frac{4}{9}

Add and subtract \frac{4}{9}

f(x) = 3([x ^ 2 -\frac{4}{3}x +\frac{4}{9}]- 2-\frac{4}{9})

Write the expression of the form

f(x) = (x-\frac{b}{2})^2 +k

f(x) = 3(x -\frac{2}{3})^2 -\frac{22}{3}

The vertex is (\frac{2}{3}, -\frac{22}{3})

3 0
3 years ago
After eating at your favorite restaurant,you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You deci
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Step-by-step explanation:

5 0
3 years ago
5. Friday night’s hockey game was attended by 180 students. This is about 60% of the school’s population. What is the total popu
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180*60%=180*60/100=10800/100=108
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If you have any questions ask down below!
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3 years ago
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