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:
The answer to your question is:
Domain: (-∞, ∞)
Range: [10, ∞)
Step-by-step explanation:
Data
Graph y = 5x² + 3x + 10
Process
As it is suggested, let's use a graphing calculator. But we can sketch that because it is a quadratic equation, then the graph will be a parabola that opens upwards.
See the graph below.
Domain: are the possible values of the independent variable.
Range: are the reslunting values of the dependent variable.
Then
Domain : (- ∞, ∞) It is an open interval because -∞ and ∞ are
not included.
Range : [10, ∞) It is close because 10 is included.
Answer: 48 meters
we already know that one side is 50 m, so since it's a
rectangle you can multiply 50 by 2 which gives you 100. Know you have two sides left (which would be the same number) . You can do it easy and subtract 196 and 100 which gives you 96. Then, divide 96 by 2 and you get 48.
---- check: do 48(2)+50(2) it will give you 196
HOPE THIS HELPED
It’s letter d
since m and n are parallel the measure of b will be equivalent to the angle 35 degrees
Answer:
<h2>132.25π m²</h2>
Step-by-step explanation:
The circumference of a circle is 23π
On the other hand, The circumference of a circle = 2×π×r ; where r is the radius.
then
by equating the last two expressions we get: 23π = 2πr then r = 23/2
then
the area = π × r² = (23/2)²×π = (132.25)×π
