Answer:
(16x² - 72x + 85) / (4x-9)
Step-by-step explanation:
first put g(x) into h(x)
h(g(x)) = 4(x-2) - 1 = 4x - 8 - 1 = 4x - 9, then
f(h(g(x))) = (4x - 9) + (4/4x-9) = ((4x-9)(4x-9) + 4)/(4x-9) =
(16x² - 72x + 81 + 4)/(4x-9) = (16x² - 72x + 85)/(4x-9)
If you are missing parentheses around (x+4)/x, then the answer would be different.
I agree, the only 2 that look the most similar is B. and D.
Given 2 numbers, a and b. The number exactly in the middle of a and b is
.
For example, the number exactly in the middle of numbers 5 and 17 is (5+17)/2=22/2=11.
Check: 11-5=6, 17-11=6
The number in the middle of 24 and 92 is (92+24)/2=116/2=58.
The positive difference between 58 and both 24 and 92 is :
58-24 = 34 & 92-58 = 34
Thus the height of a woman
x, can vary at most 34, from 58. That is the height of a woman can be 34 ft less or more than 58.
In absolute value notation this is expressed as :
|x-58|≤34
what this means is that
x-58≤34 or 58-x≤34
so x≤58+34 or -x≤34-58
x≤92 or -x≤-24, that is x≥24
Answer: |x-58|≤34 ; 24≤x≤92
Answer:
x=4
y=4√5
Step-by-step explanation:
Set up 3 right triangles and mark their respective angles. The largest will have sides (in typical a,b,c[hypotenuse] order) y, z, and 10. The middle 8, x, and y. The smallest x, 2, and z.
Then since they are all similar triangles, using the midde and smaller triangles, set up the proportionin which both A sides when divided are equal to the B sides.
So 8/x = x/2
Cross multiply and get 16=x^2.
The square root of 16 is 4, so x is 4.
Then using the larger and middle triangles, do the same for the A and C sides.
So y/8 = 10/y.
Cross multiply and get 80=y^2.
Find the square root of it, which since it doesn't have a perfect square, you use a calculator or the whatever theorem and get √4*4*5 or simply 4√5.
So x = 4 and y = 4√5