Answer:
Option D: g = 7 and h = 3
Step-by-step explanation:
The polynomial is;
8x² – 8x + 2 – 5 + x
Simplifying this gives;
8x² - 7x - 3
If this is simplified to 8x² – gx – h
Thus, by comparison of terms;
– gx = - 7x
-x will cancel out to get;
g = 7
Similarly, - h = - 3
Thus,h = 3
Therefore; g = 7 and h = 3
Given that f(x) = x/(x - 3) and g(x) = 1/x and the application of <em>function</em> operators, f ° g (x) = 1/(1 - 3 · x) and the domain of the <em>resulting</em> function is any <em>real</em> number except x = 1/3.
<h3>How to analyze a composed function</h3>
Let be f and g functions. Composition is a <em>binary function</em> operation where the <em>variable</em> of the <em>former</em> function (f) is substituted by the <em>latter</em> function (g). If we know that f(x) = x/(x - 3) and g(x) = 1/x, then the <em>composed</em> function is:
The domain of the function is the set of x-values such that f ° g (x) exists. In the case of <em>rational</em> functions of the form p(x)/q(x), the domain is the set of x-values such that q(x) ≠ 0. Thus, the domain of f ° g (x) is 
.
To learn more on composed functions: brainly.com/question/12158468
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Answer:
Mr Doyle washed the most.
4/15 still need to be washed.
Step-by-step explanation:
2/5=6/15 Mr Doyle
1/3=5/15 Son
so Mr Doyle washed the most.
Together they washed 11/15 of the laundry so 4/15 is left to wash.
-3(6x+5)-2(1-17x)=3(5+5x)
Mutiply the first bracket by -3
(-3)(6x)= -18x
(-3)(5)= -15
Mutiply the second bracket by -2
(-2)(1)= -2
(-2)(-17x)= 34x
Mutiply the third bracket by 3
(3)(5)= 15
(3)(5x)= 15x
-18x-15-2+34x= 15+15x
-18x+34x-15-2= 15+15x
16x-17= 15+15x
move 15 to the other side
sign changes from +15 to -15
16x-17-15= 15-15+15x
16x-32= 15x
move -32 to the other side
sign changes from -32 to +32
16x-32+32=15x+32
16x= 15x+32
move 15x to the other side
sign changes from +15x to -15x
16x-15x=15x-15x+32
x= 32
Answer: x= 32
Answer:
Area of rectangle = l x b
18 = l x b
Factors of 18 =
1 x 18 = 18
2 x 9 = 18
3 x 6 = 18
So each of the sides can be either 1cm and 18 cm, 2cm and 9cm and 3cm and 6cm.
