To factor: Notice that when you factor it should turn out to be a binomial x binomial.
x^2-10x+25
When factoring you can look at the operation at the end right before the last digit. If the operation is positive then you will use the first operation in the binomial for factored number. For example the ending operation is positive and the first operation is subtraction so both binomial will be subtraction.
I know it would be factored (x-5)(x-5) and I can prove it by multiplying it out.
x^2 -5x-5x+25
x^2-10x+25
By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
<h3>How to graph a system of inequalities?</h3>
An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than or equal to (≤).
- Greater than or equal to (≥).
Given the following system of inequalities:
y ≤ 1/3x ⇒ y - 1/3x ≤ 0
y - 2x < 4
By using an online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
Read more on inequalities here: brainly.com/question/24372553
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<u>Complete Question:</u>
Graph the following system of inequalities.
y ≤ 1/3x and y - 2x < 4
Answer:
3 pounds
Step-by-step explanation:
Step-by-step explanation:
The average rate of change is constant for a linear function. Another way to state this is that the average rate of change remains the same for the entire domain of a linear function. If the linear function is y=7x+12 then the average rate of change is 7 over any interval selected. y=mx+b , where m is the slope.
<em>https://socratic.org/questions/how-is-average-rate-of-change-related-to-linear-functions</em>
First you find the common deoninator.
Step 1: Reduce (simplify) entered fractions to lowest terms, if the case:Fraction: 5 / 6 it's already reduced to lowest terms
Fraction: 11 / 12 it's already reduced to lowest terms
Step 2: Calculate LCM (lowest common multiple) of the reduced fractions' denominators, it will be the common denominator of the compared fractions:Denominator 6, factored = 2 * 3
Denominator 12, factored = 22<span> * 3</span>
LCM (6, 12) = 22<span> * 3 = 12</span>Step 3: Calculate each fraction's expanding number (LCM divided by each fraction's denominator):For fraction: 5 / 6 is 12 : 6 = (22<span> * 3) : 6 = 2</span>
For fraction: 11 / 12 is 12 : 12 = (22<span> * 3) : 12 = 1</span>
Step 4: Expand fractions to bring them to the common denominator (LCM):5 / 6 = (2 * 5) / (2 * 6) = 10 / 12
<span>11 / 12 = (1 * 11) / (1 * 12) = 11 / 12</span>
