The given function : h(x) = 6 - x
We know that for any functions f(x) and g(x)
f*g (x)=f(x)\times g(x)
Therefore , h*h (x)=h(x)\times h(x)
h*h (x)=(6-x)(6-x)=(6-x)^2
h*h (x)=(6)^2-2(6)(x)+x^2 [ Using identity (a-b)^2=a^2+2ab+b^2 ]
h*h (x)=36-12(x)+x^2
\-------->\ h*h (x)=36-12(x)+x^2 Now, at x= 10 , we get
h*h (10)=36-12(10)+(10)^2
h*h (10)=36-120+100=36+100-120=136-120=16
Hence, the value of (h*h)(10) = 16
hoped it helped
Let x represents the numbers of hours that Billie and Toni are driving after first day and ‘Y’ represent the distance they have passed distance
Y=420+65
And, first day they traveled : 410 mi
2nd day they traveled =65.8=520 mi
3rd day they traveled =65.8=520
By the end of the third they traveled= 420+520=520
1460 mi
y = mx , where m is a slope,
m= rise/run
We have y = 15x, so m =15 and rise/run =15, then
rise = 15, run = 1
The table with greater proportionality is table 3.
<h3>What is constant proportionality?</h3>
The constant of proportionality is the ratio between two directly proportional quantities.
As, the constant proportionality is
k= y/x
For table 1,
k = 1/1 = 2/2 =1
For table 2,
k = 6/1= 12/2 = 2
For table 3,
k = 5/1 = 10/2 = 5
For table 4,
k = 4/1 = 8/2 = 4
Hence, table 3 is with greater proportionality.
Learn more about this constant of proportionality here:
brainly.com/question/8598338
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