10 1/2 =
10/1 + 1/2=
2/2 (10/1) + 1/2=
20/2 + 1/2=
21/2
A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f(w)=50w+25 and the number of flowers for 30 weeks is 1525.
Given that:
f(s)=2s+25
s(w)=25w
The number of flowers to bloom over w weeks is calculated using the following composite function: f(w)
f(s)=2s+25
Replace s with s(w)
f(s(w))=2(s(w))+25
Substitute (w)=25w
f(s(w))=2(25w)+25
f(s(w))=50w+25
Hence:
f(w)=50w+25
The units of the measurement of f(w) are flowers
The number of flowers for 30 weeks means:
w=30
So, we have:
f(w)=50w+25
f(30)=50 * 30+25
f(30)=1525
Hence, the number of flowers for 30 weeks is 1525
Learn more about composite functions here:brainly.com/question/10687170
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The minimum distance is the perpendicular distance. So establish the distance from the origin to the line using the distance formula.
The distance here is: <span><span>d2</span>=(x−0<span>)^2</span>+(y−0<span>)^2
</span> =<span>x^2</span>+<span>y^2
</span></span>
To minimize this function d^2 subject to the constraint, <span>2x+y−10=0
</span>If we substitute, the y-values the distance function can take will be related to the x-values by the line:<span>y=10−2x
</span>You can substitute this in for y in the distance function and take the derivative:
<span>d=sqrt [<span><span><span>x2</span>+(10−2x<span>)^2]
</span></span></span></span>
d′=1/2 (5x2−40x+100)^(−1/2) (10x−40)<span>
</span>Setting the derivative to zero to find optimal x,
<span><span>d′</span>=0→10x−40=0→x=4
</span>
This will be the x-value on the line such that the distance between the origin and line will be EITHER a maximum or minimum (technically, it should be checked afterward).
For x = 4, the corresponding y-value is found from the equation of the line (since we need the corresponding y-value on the line for this x-value).
Then y = 10 - 2(4) = 2.
So the point, P, is (4,2).
If a ratio of skiers and snumboarders is 1:2, and if there are 1250 snowboarders more than skiers, it means that is that there 2500 snowboarders and 1250 skiers.
How to check it? 2500 is 1250 more than 1250 and the ratio is still 1:2 (there are two times more snowboarders than skiers). Both conditions are fulfiled, so it's correct.
Answer:
110.526316
Step-by-step explanation:
hope it helps
