Step-by-step explanation:
let f(x) be y
∴ y = 10x/9 +11
(y - 11 )× 9/ 10 = x
Interchange x->y and y->x
(x - 11)×9/10 = y
here y is your f⁻¹(x)
∴ f⁻¹(x) = (x - 11 )× 9/10
or, f⁻¹(x) = 9x/10 - 99/10
Option (D) is correct
<h3>
Answer: Sometimes true</h3>
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Explanation:
-8+d is positive only when d > 8
Here's why
-8+d > 0
-8+d+8 > 0+8 .... add 8 to both sides
d > 8
So if Jessica said "d is greater than 8", then her claim would always be correct.
However, her claim is sometimes true.
Two counter examples could be when d = 1 and d = 2.
If d = 1, then -8+d = -8+1 = -7 which isn't positive.
If d = 2, then -8+d = -8+2 = -6 which also isn't positive.
Basically if d is anything smaller than 8, then you'll have -8+d be negative.
If d is something larger than 8, say d = 9, then -8+d = -8+9 = 1 which is finally positive.
Answer:
5.5 miles
Step-by-step explanation:
If he ran 11 miles in 2 hours then divide both of them by 2, so 1 hour is equal to 11 / 2 which is 5.5 miles
Answer:
y > Two-thirdsx + 3
Step-by-step explanation:
Hope this helped!
