Answer:
-3x2 + 12x - 8
Step-by-step explanation:
Equation at the end of step 1
((0 - 3x2) + 12x) - 8
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-3x2 + 12x - 8 = -1 • (3x2 - 12x + 8)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 12x + 8
The first term is, 3x2 its coefficient is 3 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -12 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
D. Debit of $3000
The balance of account a need to be as much as $3000
Given:
The given function is:

To find:
The range of the given function.
Solution:
We have,

It is a quadratic function because the highest power of the variable x is 2.
Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.
If a quadratic function is
, then the vertex of the quadratic function is:

In the given function,
.



The value of the given function at
is:


The vertex of the given downward parabola is
. It means the maximum value of the function is
. So,

![Range=\left(-\infty, \dfrac{2121}{32}\right ]](https://tex.z-dn.net/?f=Range%3D%5Cleft%28-%5Cinfty%2C%20%5Cdfrac%7B2121%7D%7B32%7D%5Cright%20%5D)
Therefore, the range of the given function is
.
A change from 45 to 90 represents a positive change (increase) of 100%
Use the formula found below on this webpage to find the percent change by replacing the given values:
Percent change = New - Old|Old| × 100%
Percent change = 90 - 45|45| × 100% =
4545 × 100 = 100% (increase)
Where: 45 is the old value and 90 is the new value. In this case we have a positive change (increase) of 100 percent because the new value is greater than the old value.
Answer:
yolo it
Step-by-step explanation: