Write an algebraic expression for the area of a rectangle ( A = lw ) with a length of 2x-1
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m = 90 - 6d is the equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece
<em><u>Solution:</u></em>
Given that Harita must memorize 90 measures of music for her cello solo at a concert
To find: equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece
Let "m" be the number of measures Harita still needs to memorize
Let "d" be the number of days of practice since she began learning the piece
Given that She plans on memorizing 18 new measures for every 3 days of practice
<em><u>Rate per day is given as:</u></em>
Therefore she memorises 6 per day
<em><u>Therefore, the equation that relates 'm' to 'd' is: </u></em>
m = total measures of music she must memorise - (number of measures she memorises per day x d)
m = 90 - 6(d)
m = 90 - 6d
Thus the required equation is found
Answer:
Step-by-step explanation:
The polynomial given for simplification is:
Now, we combine like terms using the commutative property of addition.
The commutative property of addition states that:
So, the order can be shuffled when we add terms.
The terms containing 't' are grouped together and the constant terms are grouped together. This gives,
Now, we group them using associative property and converse of distributive property as:
Simplifying the above expression, we get:
Therefore, the simplified form is