Answer:
X > (greater than or equal to) -7
Step-by-step explanation:
3x + 15 > -6
3x > -21 (subtract 15 from both sides)
X > -7 (divide both sides by 3)
Direct Proportion functions look like this:
y=kx
'k' is the constant of proportionality and in this case its 7.5 or 15/2.
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When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5
Therefore y is directly proportional to x.
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DIRECT PROPORTION EXPLAINED:
Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C<span>∝f, therefore C=kf, but as k=7.5, C=7.5f.
INVERSE PROPORTION EXPLAINED:
If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.
T=time to set up a wall
b=bricklayer(s)
Therefore T</span><span>∝1/b, and T=k/b. In this case k=8 so T=8/b.
When b=1, T=8.
When b=2, T=4.
We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.</span>
Answer:
It is an example of an empirical probability.
Step-by-step explanation:
The empirical probability, also called experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
Theoretical probability is probability that is determined on the basis of reasoning.
It is evident that the probability in the question was arrived at after the outcome of 14 days of whether Jerry Gergich spilled his lunch on himself or not.
It's an actual result of an experiment, hence the 12/14 = 0.86 = 86% that he spills his lunch on himself tomorrow.
Hope this Helps!!!
Answer:
Exact Form:
x= -3/2
Decimal Form:
x= -1.5
Mixed Number Form
x= -1 1/2
Step-by-step explanation:
Since the lines are parallel and you know the slope of
is -2, you know the slope of line
will also be -2. You can see on the coordinate grid that line
crosses the y-axis at -1. When you piece all of these facts together into slope-intercept form you get
= -2x - 1.
