Find the solutions of the system
1 answer:
Answer:
b. (-3, -4) and (2, 6)
Step-by-step explanation:
By the transitive property of equality, if y equals thing 1 and y also equals thing 2, then thing1 and thing 2 are also equal. So we will set them equal to each other and factor to solve for the 2 values of x:
Get everything on one side of the equals sign, set the whole mess equal to 0, and combine like terms to get:
Because this is a second degree polynomial, a quadratic to be precise, it has 2 solutions. We need to find those 2 values of x and then use them in either one of the original equations to solve for the y values that go with each x.
Factoring that polynomial above gives you the x values of x = -3 and 2. Sub in -3 first:
y = 2(-3) + 2 and
y = -6 + 2 so
y = -4
Therefore, the coordinate is (-3, -4).
Onto the next x value of 2:
y = 2(2) + 2 and
y = 4 + 2 so
y = 6
Therefore, the coordinate is (2, 6)
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Answer:
The conclusion is Mr. Keene has sufficient vitamin K.
Step-by-step explanation:
Consider the provided statement.
The law of detachment involves two quantities, one is hypothesis and another is conclusion.
In the provided statement hypotheses and conclusion is:
Hypotheses (P): Person has insufficient vitamin K
Conclusion (Q): There will be a prothrombin deficiency.
Here if a person has insufficient vitamin K that means there must be prothrombin deficiency, but if a person has prothrombin deficiency we can't say anything.
Now it is given that Mr. Keene does not have a prothrombin deficiency.
That means he has sufficient vitamin K
Hence, the conclusion is Mr. Keene has sufficient vitamin K.
The required diagram is shown in figure.
