Answer:
Third step is incorrect. The correct factored form is (x-1)(2x-5).
Step-by-step explanation:
The given expression is

We need to find the factored form of this expression.
Step 1: Given

Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).


Step 3: Taking out common factors from each parenthesis.

Step 4: Taking out common factors.

Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).
A key feature is there is a constant y-value level between x values from 0 to 15 and there is a parabolic curve from x-values of 15 to 65. The vertex is at (3, 45)
<h3>How to get the relationship between graphs?</h3>
A) This is a parabolic graph and from the graph, we see that, the y-values remain the same from x-values of 0 to 15. Thereafter the x-values increases with a corresponding decrease in y-values until the vertex point before increase in x-values with corresponding increase in y-values.
A relationship could be: Battery percentage remains at the mark of 40 for the first 15 minutes of use. Thereafter, it begins to decrease parabolically until 45 minutes when it it is almost at 0 level and is charged before it starts to increase in a parabolic manner again for another 20 minutes when it increases linearly.
B) A key feature is there is a constant y-value level between x values from 0 to 15 and there is a parabolic curve from x-values of 15 to 65. The vertex is at (3, 45)
Read more about Graph relationships at; brainly.com/question/13060180
#SPJ1
Answer:
(a) 0
(b) f(x) = g(x)
(c) See below.
Step-by-step explanation:
Given rational function:

<u>Part (a)</u>
Factor the <u>numerator</u> and <u>denominator</u> of the given rational function:

Substitute x = -1 to find the limit:

Therefore:

<u>Part (b)</u>
From part (a), we can see that the simplified function f(x) is the same as the given function g(x). Therefore, f(x) = g(x).
<u>Part (c)</u>
As x = 1 is approached from the right side of 1, the numerator of the function is positive and approaches 2 whilst the denominator of the function is positive and gets smaller and smaller (approaching zero). Therefore, the quotient approaches infinity.

Answer:
f(-2) = -6
Step-by-step explanation:
2(-2-3) + 4
2(-5) + 4
-10 + 4
-6