Answer:
the two expressions are equivalent.
Step-by-step explanation:
We know that f(x)= 3x-7 and g(x)= -2x+5, therefore:
f(x) - (-g(x)) = 3x-7 - ( +2x-5) = 3x - 7 - 2x + 5 = x -2
f(x) + g(x) = 3x-7 -2x + 5 = x - 2
Therefore, f(x) - (-g(x)) is equivalent to f(x) + g(x).
Another way to check that the two expressions are equivalent is by solving the parenthesis:
f(x) - (-g(x)) → f(x) + g(x)
Therefore, the two expressions are equivalent.
Answer:
a) The difference of a number and six is no less than 15
x - 6 ≥ 15
b) 25 plus a number is at least 13
25 + x ≥ 13
c) g decreased by 25 is at most five
g - 25 ≤ 5
Step-by-step explanation:
a) The difference of a number and six is no less than 15
Let the number be represented by x
We difference is involved in a mathematics question, it requires the application of Subtraction operation, hence:
x - 6 ≥ 15
b) 25 plus a number is at least 13
Let the unknown number be represented by x
When at least is used in Mathematics, is means greater than or equal to a particular value,
Hence,
25 + x ≥ 13
c) g decreased by 25 is at most five
At most means less than or equal to a particular value, hence:
g - 25 ≤ 5
The best and most correct answer among the choices provided by your question is the third choice or letter C.
A diagonal is the term that describes the dotted line in the quadrilateral.
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