Answer:
x= -19
y= -14
Step-by-step explanation:
Substitution.
It tells you what y is already. You substitute that into the second equation and then solve. Then you use that answer and substitute it back into the first equation's x, and then you'll get your full answer.
Hope this helps <3
Its -4/3
Thank You.
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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>
The volume of a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches is 300 cubic inches
<h3>Volume of a rectangular prism</h3>
- Length= 12 inches
- Width = 10 inches
- Height = 2.5 inches
Volume of a rectangular prism = length × width × height
= (12 × 10 × 2.5) inches
= 300 inches
Learn more about volume of prism:
brainly.com/question/23963432
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Answer:
Jaime's. Interval not centered around the point estimate.
Step-by-step explanation:
When constructing a confidence interval based on a point estimate, the obtained point estimate must be the central value of the interval.
For Jaime's interval
Lower bound = 0.078
Upper Bound = 0.193
For Mariya's interval
Lower bound = 0.051
Upper Bound = 0.189
For a point estimate of 0.12, only Mariya's interval is adequate since Jaime's is not centered around the point estimate.
