F(x) = -3x² + 6x - 2
First, we make the coefficient of x² equal to 1
f(x) = -3(x² + 2x - 2/3)
Now, we must make the form a² + 2ab + b²
b = 2x/2x
b = 1
f(x) = -3(x² + 2x + 1² - 1² - 2/3)
f(x) = -3(x² + 2x + 1 - 5/3)
f(x) = -3(x + 1)² - 5
The vertex is (-1 , -5)
And this is the maximum point because the coefficient of the squared term is negative.
Answer:
The caterer served 5 hours. x = 5
Step-by-step explanation:
25x + 225 = 350
We must use inverse operations to get x
25x + 225 - 225 = 350 - 225
25x = 125
25x ÷ 25 = 125 ÷ 25
x = 5
the caterer served 5 hours.
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There is No solution to that problem so it’s b :)
Answer:
Step-by-step explanation:
The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.
The final price of the book is $20.12 and Maria can get it and still save a little money.
