-1/2=3/2k+3/2
Rewrite the equation to have k on left side
3/2k+3/2=-1/2
Simplify 3/2k
3k/2+3/2=12
Move all terms not containing k to right side
3k/2=1/2-3/2
3k/2=-2
Multiply both sifmdes by 2
2(3k/2)=-2(2)
3k=-4
Divide both sides by 3 to get k alone
3k/3=-4/3
K= -4/3
Since all the variables cancel out and the coefficient equal to eachother, this system of equation has
<u>infinitely many solutions!</u>
Answer:
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Step-by-step explanation:
thank you so much have a great day
Answer:
- <u><em>Option A. F T → F</em></u>
Explanation:
A conditional is represented by:
Where p is called the antecedent, and q is the consequent.
Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.
On the other hand, if the antecedent is true, the consequent can be either true or false.
<u>1. State the antecedent of the conditional and is truth value</u>
- Truth value: False, because 6 is not greater than 10.
<u>2. State the consequent of the conditional and its truh value</u>
- Truth value: True, because 8 times 3 is 24.
<u>3. Truth value of the conditional</u>
Hence, the truth value of the conditional is:
Which is the option A.
Answer:
315 km
Step-by-step explanation:
If the bus travels at constant speed, then the slope of the distance versus time graph can be calculated by using any two points from this table.
Let's use the points (0.5, 42) and (4.5, 378):
as we move from the first point to the second, t increases by 4 and y increases by 336. Thus, the slope of this graph is
m = rise / run = 336 km / 4 hr = 84 km/hr
then distance traveled = speed times time, or
distance traveled = (84 km/hr)t, where t is the elapsed time.
In 6 hours the bus would travel
( 84 km/hr )(6 hr) = 504 km, or approx. 315 mi
