Answer:
The quadratic function is f(x) = (x − 2) (x − 4)
Step-by-step explanation:
Given a vertex with an x-coordinate of 3. we have to write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two distinct roots.
As the vertex lies on the axis of symmetry, so the axis of symmetry is x = 3. Now we have to take two x-intercepts that are equal distance from the axis of symmetry i.e from point of vertex and we can use these x-intercepts to write factors of the function by subtracting from x.
we take 2 and 4 ∴ factors becomes (x-2) and (x-4)
Hence, the quadratic function is
f(x) = (x − 2) (x − 4)
The answer will be 46,200 Hopes this helps. :)
Answer:
<u>Step-by-step explanation:</u>
(4, 1) & (2, -5)
First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:
Next, find the midpoint of (4, 1) and (2, -5):
Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:
The dollar amount of merchandise inventory is A. $28,800
Let N = be the missing number
1.) N/$45,000 = 2.65/1 (cross multiply to get the current assets)
N = $119,250
2.) N/$45,000 = 2.01 (cross multiply to get current the quick assets)
N = $90,450
3.) Since there are no prepaid expenses, subtract current quick assets from the current assets to get the merchandise inventory
$119,250 - $90,450 = $28,800
Answer:
see explanation
Step-by-step explanation:
(i)
+ = 1 ( multiply through by 6 to clear the fractions )
2x + 3y = 6 ( subtract 2x from both sides )
3y = - 2x + 6 ( divide through by 3 )
y = - x + 2
(ii)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope ( gradient ) and c the y- intercept )
y = - x + 2 ← is in slope- intercept form ( that is part (i)
with gradient m = -