Manuel has 18 yards of fabric to make table runners. It takes Three-fourths of a yard to make each runner. The expression that r
1 answer:
Inequality helps in comparison. The possible number of table runners that Manuel could make is 20, 22, and 24.
<h3>What is Inequality?</h3>Inequality helps us to compare two unequal expressions to form an equation.
Given to us
Left over cloth = 18 - (3/4)t
In the given equation, t shows the number of table runners that can be made with 18 yards of fabric.
As the total amount of fabric that is used for making must not be more than 18 yards, we can write the equation as,
solving it for t,
Thus, the number of tables runner that can be made with 18 yards of cloth such that the size of the table runner is must be equal to less than 24.
Hence, the possible number of table runners that Manuel could make is 20, 22, and 24.
Learn more about Inequality:
You might be interested in
Answer:
The turns of a graph is represented by the number of maximum or minimum that the function has.
If we differenciate f(x) we get:
f'(x)=4x^3+6x
f'(x)=2x(2x^2 + 3)
Therefore f'(x) =0, when x=0. Given that negative roots are not defined.
Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.
Attached you find the graph of the function which confirms the number of turns.
If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!
