Answer:
(4x + 7)(x - 2)
Step-by-step explanation:
Synthetic division can be a very useful tool in factoring, although there are certainly other methods.
-14 is the constant term; its factors here MAY include ±2 and/or ± 7.
Let's use synthetic division to determine whether or not 2 is a root of the quadratic:
2 / 4 -1 -14
8 14
--------------------
4 7 0
Because the remainder here is zero (0), we have verified that 2 is a root and (x - 2) is a factor of 4x^2 - x - 14. Note that the remaining coefficients, 4 and 7, indicate that the other factor is 4x + 7.
Thus, 4x^2– x - 14 = (4x + 7)(x - 2)
Yes they are similar. the rectangle on the left is 4 by 6. the rectangle on the right is 2 by 3.
4/6=2/3
2/3 is the simplified version of 4/6
this makes them similar
18x6 = 108
110-108 =2
By weeks 6 she will only have $2 left
So being realistic, at week 7 she will have spent all her money.
Answer:
For t=3 sec the velocity change from positive to negative
Step-by-step explanation:
we have
This is the equation of a vertical parabola open downward (the leading coefficient is negative)
where
s(t) is the distance in feet
t is the time in seconds
We know that
To find out when the velocity change from positive to negative, we need to determine the turning point of the quadratic equation
The turning point of the quadratic equation is the vertex
so
Convert the quadratic equation into vertex form
Factor -16
Complete the square
Rewrite as perfect squares
The vertex is the point (3,244)
therefore
For t=3 sec the velocity change from positive to negative
Well take 11 decided by 4 then take tat decided by 360