The area of triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is k
nown that parabola opens downward.
1 answer:
Answer:
a = -1/2
Step-by-step explanation:
In order for the triangle with a base of 4-1 = 3 units to have an area of 3 square units, the height of it must be 2. Since the parabola opens downward, the y-intercept of the equation must be -2. Filling in known values for that point, we have ...
-2 = a(0 -1)(0 -4)
-2 = 4a . . . . . . . . . simplify
-2/4 = a = -1/2
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Answer:
Price of Caleb's groceries before tax = $64
Step-by-step explanation:
Let the price of groceries before tax be =$
Sales tax charged = $1.60
Sales tax rate =2.5%
Sales tax charged in terms of will be = 2.5% of the Original price of grocery =
So, we have,
Dividing both sides by
∴
∴ Price of Caleb's groceries before tax = $64
Answer:
<em>Answer</em><em> </em><em>B</em><em> </em><em>is</em><em> </em><em>correct</em><em>.</em>