Answer:
f(x) = 6x² - 24x + 21
Step-by-step explanation:
The equation of a quadratic function in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 3 ) , then
f(x) = a(x - 2)² - 3
To find a substitute (1, 3 ) into the equation
3 = 1(1 - 2)² - 3
3 = a(- 1)² - 3
3 = a - 3 ( add 3 to both sides )
6 = a
f(x) = 6(x - 2)² - 3 ← in vertex form
= 6(x² - 4x + 4) - 3
= 6x² - 24x + 24 - 3
f(x) = 6x² - 24x + 21 ← in standard form
<span>
Rate = 40/16 = 10/4 = 5/2 = 2.5 meters/second
Unit rate = ratio where denominator is 1 = 2.5/1 meters/second
</span>
Answer:
x = 25
Step-by-step explanation:
Since these 2 angles are vertical angles, then they are both equal. Set up an equation and then solve it.
75 = 4x - 25
75 + 25 = 4x
100 = 4x
100/4 = 4x/4
25 = x
Hope this helps. Brainly will be highly appreciated.
