Explain how the words term and coefficient are used in talking about the algebraic expression.
1 answer:
<h2><u>Answer:</u></h2>
The <u>algebraic expressions</u> are composed of several elements: Terms, Coefficients, Signs, Variables and Exponents. In this case we will focus on the first two.
<u>The terms</u> are composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).
For example, in the following expression:
2x-3x
We have two terms separated by the negative sign (-):
2x is the first term
-3x is the second term
Now, <u>the coefficients</u> are the numbers that multiply the variable. <u>Note that if this coefficient is one (1) it is omitted .</u>
For example in the following expression, the variable is x:
2x-3x+x
2 is the coefficient of x in the first term
-3 is the coefficient of x in the second term
1 is the coefficient of x in the third term, <u>but is omitted </u>
In order to understand this in a better way, see the figure attached, where the algebraic expression is composed by one term.
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When x =170, y =10, when x = 187, y = 1, when x = 204, y = 12, when x = 221, y = 13, when x = 238, y = 14, when x = 255, y = 15, when x = 272, y = 16, when x = 289, y = 17, when x = 306, y = 18, when x = 323, y = 19, when x = 340, y = 20,
Step-by-step explanation:
Step 1; Assume y is the gallons in the tank while x is the range of the car. We need to determine the equation relating the y to the x values in the given coordinates. x is the dependent value whereas y is the independent value i.e. the value of x depends on the value of y.
Step 2; As y increases, x also increases. For every extra gallon in the tank, the car can go another 17 miles. So with y as the amount of gas in the tank in gallons and x as the range of vehicle, we get;
x = 17y, this represents the relation between x and y.
To find the gallons in the tank, y = ,
For x = 170, y = = 10,
Similarly equating the values we get that when x = 187, y = 11,
when x = 204, y = 12,
when x = 221, y = 13,
when x = 238, y = 14,
when x = 255, y = 15,
when x = 272, y = 16,
when x = 289, y = 17,
when x = 306, y = 18,
when x = 323, y = 19,
when x = 340, y = 20,