There are two ways to solve the problem: using calculus and algebra. For this, I'll be using the algebraic way. The function is parabolic, thus the minimum value is the ordinate of the vertex. Using completing the square, we could get the vertex of the parabola.
y = x^2 + 4x - 5y = x^2 + 4x + 4 - 5 - 4y = (x + 2)^2 - 9Vertex is (-2, -9).
Therefore, the minimum value is -9.
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Answer:
<em>The percent of change in population was 2.58%</em>
Step-by-step explanation:
<u>Percentage calculations</u>
The percent of change of some quantity is the relation between the difference of its values with respect to the original value. That is, if something had a value of
and then it had a value of
, the change is
, the ratio of change is

And the percent of change is

If this number is positive, the change was an increase. If is negative it was a decrease
The population of Boston Massachusetts was 574,283 and changed to
.
The percent of change is

The percent of change in population was 2.58%
Answer:
x = 147/5 and y = 78
Step-by-step explanation:
First solve by substitution and put 78 into y in -5x + 2y = 9 so you get 147/5
then plug 147/5 into x and find y
Answer:
-6x^4-8x^2 or -2x^2(3x^2+4)
Step-by-step explanation:
Given expression is:

In order to write the expression in simplest form we have to multiply the terms which needs to be multiplied.
So,

Combining alike terms

Can also be written as:

Answer:
13x + 14
Step-by-step explanation:
Sum means add, so it'd be 5x + 14 + 8x.
Next, you'd have to add 5x + 8x which is 13x
The ending result would be 13x + 14
Hope this helps!!
<em>stay safe :))))</em>