11 is b because the bottom needs to be 5 to dived the amount by 5 minutes and the top is the amount of words she types in 5 minutes
To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:
y = 3x + b,
where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:
16 = 3(5) + b
16 = 15 + b
1 = b
Then, we should substitute in this value into our equation and check our work.
y = 3x + 1
If we plug in the other points, this equation yields a true statement, so we know it is correct.
Hope this helps!
Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions
<h3>Modulus functions</h3>
Modulus functions are functions that can either be positive or negative. Given the modulus function below;
|h| − 8 = 4
The modulus of h can both be negative and positive
If the modulus of h is positive then;
h - 8 = 4
Add 8 to both sides
h-8 + 8 = 4 + 8
h = 4 + 8
h = 12
If the value of h is negative
-h - 8 = 4
-h = 4 + 8
h =-12
Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions
Learn more on modulus function here: brainly.com/question/23450491
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Step-by-step explanation:
<u>Step 1: Multiply both sides by 2</u>
<u>Step 2: Determine what numbers would be a valid solution</u>
Any number that is greater than 18, not including 18 would pose a valid solution to the expression that was provided.
It is proportional because the relationship between gallons of gas and distance is constant and linear. The rate is 32 miles per gallon. You can also call 32 the slope of this linear relationship.
