Which phrases can be used to represent the inequality 12 minus 3 x greater-than-or-equal-to 9? Select two options.
2 answers:
Check attachment for the remaining part of the questions.
Answer:
The correct options are:
C. Twelve less three times a number is at least nine.
F. Twelve minus the product of three and a number is no smaller that nine.
Step-by-step explanation:
Given 12 - 3x ≥ 9,
we want to check which phrase from the options can be used to represent the inequality.
12 - 3x: This means the product of 3 and a number is subtracted from 12.
≥: This is the "Greater or equal to" symbol. It is used to show that the quantity on the left hand side of the symbol is at least, the exact quantity on the right. It means the quantity on the right hand side can be equal, or greater, but can never be smaller the quantity on the left hand side.
So, the statement means
When 3 is multiplied my a number, and then the result is subtracted from 12, what we have is at least 9.
The only statements that corresponds to this from the options are:
1. Twelve less three times a number is at least nine.
2. Twelve minus the product of three and a number is no smaller that nine.
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Let the initial point of the vector be (x,y). Then the magnitude of the vector v can be written as:
The magnitude of vecor v is given to be 10. So we can write:
Now from the given options, we have to check which one satisfies the above equation. That point will be the initial point of the vector.
The point in option d, satisfies the equation.
Thus, the answer to this question is option D
The magnitude of vecor v is given to be 10. So we can write:
Now from the given options, we have to check which one satisfies the above equation. That point will be the initial point of the vector.
The point in option d, satisfies the equation.
Thus, the answer to this question is option D
Answer:
D. (–3, –6) and (5, 10)
Step-by-step explanation:
The system has equations:
...(1)
and
...(2)
Equate both equations;
Rewrite in standard form:
We factor to obtain:
By the zero product principle;
When x=-3, y=2(-3)=-6
This yields the ordered pair (-3,-6).
When x=5, y=2(5)=10
This yields the ordered pair (5,10).
The correct choice is D.