Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.
3. Given: If a number is divisible by 4, then the number is divisible by 2. 12 is divisible by four.
Conclusion: 12 is divisible by 2.
SOLUTION:
If p → q is a true statement and p is true, then q. Here, a number divisible 4 is divisible by 2 also and 12 is divisible by 4. So, 12 is divisible by 2 is a valid statement by the Law of Detachment.
ANSWER:
valid; Law of Detachment
4. Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
SOLUTION:
If p is true, then q is true, but q being true does not necessarily mean that p is true. Elan could be tired because he worked out. So, the statement is invalid.
ANSWER:
Invalid; Elan could be tired because he worked out.
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Answer:
The given sides does not form a triangle
Step-by-step explanation:
The given sides does not form a triangle
We know the triangle property which states that the sum of any two sides of the triangle should be greater than the third side.
Here given th esides of the triangle are 6x,7x,21x
6x+7x=13x < 21x
for any value of x the above equation does not satisfy.
Sort{17} which equals 4.123
Answer: y= - 2/3x+6
Step-by-step explanation:
Just plug in values into this equation (slope intercept form)
y=mx+b
3 is x value
4 is y value
m is the slope which is - 2/3
So after you plug in the values, solve for b ("b" is the y intercept):
4=-2/3(3)+b
4=-2+b
b=6
Then add in the b value into your equation and you will get y= - 2/3x+6
Answer:
D) Multiply A by -4 and B by 5
Step-by-step explanation:
5x-2y=10
4x+3y=7
----------------
-4(5x-2y)=-4(10)
5(4x+3y)=5(7)
----------------------
-20x+8y=-40
20x+15y=35
---------------------
23y=-5
y=-5/23
5x-2(-5/23)=10
5x+10/23=10
5x=10-10/23
5x=230/23-10/23
5x=220/23
x=(220/23)/5
x=(220/23)(1/5)
x=220/115
x=44/23
