Vertex = (6, 5)
axis of symmetry is line x = 6
A third point in the parabola is (12, 0)
equation using the vertex is y = -a(x - 6)^2 + 5 = -a(x^2 - 12x + 36) + 5 = -ax^2 + 12ax - 36a + 5
since the parabola passes through point (0, 0)
i.e. -36a + 5 = 0
a = 5/36 = 0.139
Therefore, the equation is y = -0.139x^2 + 12(0.139)x = -0.139x^2 + 1.667x
Answer:
<em>Abraham Lincoln </em>
Step-by-step explanation:
<u><em>Abraham Lincoln was the 16th president of the United States and is regarded as one of America's greatest heroes due to his role as savior of the Union and emancipator of enslaved people. Lincoln's distinctively humane personality and incredible impact on the nation have endowed him with an enduring legacy.
With his ability to command a room, give a powerful speech and negotiate, he is regarded as one of the best presidents in American history. As a leader, Lincoln was determined to hold together a nation that was falling apart at the seams. </em></u><u><em>Abraham Lincoln was voted the best US president in a survey where nearly 100 historians and biographers rated past commanders in chief on 10 leadership qualities</em></u>
The <em>correct answer</em> is:
He paid the correct amount.
Explanation:
First we find the subtotal of Manny's items:
32.65+3(14.89)+39.99 = 32.65+44.67+39.99 = 117.31
Next, we calculate the discount. If he gets 10% off, this means he pays 100%-10% = 90% of the total. 90% = 90/100 = 0.9:
0.9(117.31) = 105.579
Next we calculate the tax. Since tax is 8%, this means he pays 100% of his subtotal after discount plus the 8% tax; 100%+8% = 108%; 108% = 108/100 = 1.08:
1.08(105.579) = 114.02532 ≈ 114.03
Since this is what he paid, he paid the correct amount.
EXPLANATION:
10 - ( 3 + 2*2 ) + 4
=> 10 - ( 3 + 4 ) + 4
=> 10 - 7 + 4
=> 3 + 4
=> 7
ANSWER: A. 7
Hope it helps u!