Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
=
= a
y =
(x - 3)² + 1 ← in vertex form
------------------------------------------------------
the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form
<u>ANSWER</u>
The correct answer is A
<u>EXPLANATION</u>
To find the ink cost of each card coming from printer B, we need to find the total cost from printer B and the total number of cards printed by Printer B.
The total hours of all the three printers over the three weeks

The total hours of printer B only

Total number of cards produced over the three weeks

We can use ratio and proportion to determine the total cards produce by printer B only.


If less, more divides

Total cost of Printer B in 130 hours
$
The ink cost


$
to 2 decimal places
Answer:n
Step-by-step explanation:
n
9514 1404 393
Answer:
x ≈ 23.4
Step-by-step explanation:
You are correct that the given information indicates the tangent function is appropriate.
Tan = Opposite/Adjacent
tan(59°) = 39/x
Multiply this equation by x/tan(59°) and you get ...
x = 39/tan(59°)
x ≈ 39/1.6643 ≈ 23.43
The appropriate answer choice is ...
x = 23.4
The answer to this problem is D, 355 mL