Word phase of algebra expression
2 answers:
In order to write algebraic expressions<span> and equations, assign a variable to represent the unknown number. In the table below, the letter “x” is used to represent the unknown.
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Operation: Addition ( + )
Key word/phrase: plus, more than, the sum of, the total of, increased by, and added to.
Example: A number plus three, Ten more than a number, The sum of a number and five, The total of six and some number, A number increased by two, Eleven added to a number.
Translation: x + 3, x + 4, x + 10, x + 5, x + 2, 6 + x, x + 11 and so on.
Subtraction ( − ) minus A number minus seven X – 7 less than Four less than a number X – 4 the difference of The difference of a number and three X – 3 less Nine less a number 9 – X decreased by A number decreased by twelve X – 12 subtracted from Six subtracted from a number
Multiplication ( x ) times Eight times a number 8x the product of The product of fourteen and a number 14x twice; double Twice a number; double a number 2x multiplied by A number multiplied by negative six −6x of Three fourths of a number
Division ( ÷ ) the quotient of The quotient of a number and seven divided by Ten divided by a number the ratio of The ratio of a number to fifteen
Powers ( x^n ) the square of; squared The square of a number; a number squared x^2 the cube of; cubed The cube of a number; a number cubed x^3
Equals ( = ) equals Seven less than a number equals ten. x − 7 = 10 is Three times a number is negative six. 3x = −6 is the same as Eight is the same as twice a number. 8 = 2x yields Twelve added to a number yields five. x + 12 = 5 amounts to Nine less a number amounts to twenty. 9 – x = 20
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Operation: Addition ( + )
Key word/phrase: plus, more than, the sum of, the total of, increased by, and added to.
Example: A number plus three, Ten more than a number, The sum of a number and five, The total of six and some number, A number increased by two, Eleven added to a number.
Translation: x + 3, x + 4, x + 10, x + 5, x + 2, 6 + x, x + 11 and so on.
Subtraction ( − ) minus A number minus seven X – 7 less than Four less than a number X – 4 the difference of The difference of a number and three X – 3 less Nine less a number 9 – X decreased by A number decreased by twelve X – 12 subtracted from Six subtracted from a number
Multiplication ( x ) times Eight times a number 8x the product of The product of fourteen and a number 14x twice; double Twice a number; double a number 2x multiplied by A number multiplied by negative six −6x of Three fourths of a number
Division ( ÷ ) the quotient of The quotient of a number and seven divided by Ten divided by a number the ratio of The ratio of a number to fifteen
Powers ( x^n ) the square of; squared The square of a number; a number squared x^2 the cube of; cubed The cube of a number; a number cubed x^3
Equals ( = ) equals Seven less than a number equals ten. x − 7 = 10 is Three times a number is negative six. 3x = −6 is the same as Eight is the same as twice a number. 8 = 2x yields Twelve added to a number yields five. x + 12 = 5 amounts to Nine less a number amounts to twenty. 9 – x = 20
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Answer:
Increasing if f' >0 and decreasing if f'<0
Step-by-step explanation:
Difference quotient got by getting
will be greater than 0 if function is increasing otherwise negative
Here h is a small positive value.
In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.
Here given that for x1, x2 where x1<x2, we have
if f(x1) <f(x2) then the function is decreasing.
Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.
Answer:
Step-by-step explanation:
If you have two matrices:
We have:
And we need to express as a single matrix:
The answer is:
It is expressed as a single matrix.