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:
x=10
Step-by-step explanation:
It's a 90 degree angle.
90-60=30
30=the remaining angle, 3x
x=30/3, or 10
Hope I helped!
An expression is defined as a set of numbers, variables, and mathematical operations. The value of x for which the expression (x-1)(x-7)=0 is 1 and 7.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
For the given expression, (x-1)(x-7), the value of x for which the expression will be equal to 0 can be found by equation the factors of the expression to 0. Therefore,
x-1 = 0
x = 1
and
x-7=0
x = 7
Hence, the value of x for which the expression (x-1)(x-7)=0 is 1 and 7.
Learn more about Expression:
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Answer:
15 joules
Step-by-step explanation:
SUBTRACT 3 FROM 18
18 JOULES-3 JOULES=15 JOULES
HOPE IT HELPS
Answer: choice A 1/2
Step-by-step explanation:
Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.
so
1/3=2/3*p(B)
p(B)=1/2
