Answer:
13.5
Step-by-step explanation:
5.5+8=13.5
14:25
x:y
i hope this helpss
Answer:
Step-by-step explanation:
The two triangles are similar and therefore we can set up a proportion
9/(9 + 72) = (3x - 20)/(3x - 20 + 56) Combine like terms on the right
9/(81) = (3x - 20)/(3x + 36) Cross multiply
9(3x + 36) = 81 (3x - 20) Remove the brackets.
27x + 324 +1620 = 243x Add 1620 to both sides
27x + 324 + 1620 = 243x Subtract 27x from both
1944 = 216x divide both sides by 216
x = 9
If you feel comfortable canceling the size of the numbers can be reduced.
9/81 = 1/9
1/9 = (3x - 20)/(3x + 36)
3x + 36 = 9(3x - 20)
3x + 36 = 27x - 180
36 + 180 = 24x
216 = 24x
216/24 = x
x = 9
There is another cancelation possible, but this is simple enough.
Answer:b
Step-by-step explanation:
450 divide by 4 hours and 30 minutes is 100 because 4 hours and 30 minutes is 4.5 hours so 450/4.5 is 100
Answer:
b) ![f^{-1}(x) = \frac{4x+5}{3}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%7B4x%2B5%7D%7B3%7D)
Step-by-step explanation:
b) To find the inverse function, switch the
and
variables and solve for
:
![f(x) = \frac{3x-5}{4}\\y = \frac{3x-5}{4}\\x = \frac{3y-5}{4}\\4x = 3y-5\\4x+5 = 3y\\\frac{4x+5}{3} = y\\f^{-1}(x) = \frac{4x+5}{3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B3x-5%7D%7B4%7D%5C%5Cy%20%3D%20%5Cfrac%7B3x-5%7D%7B4%7D%5C%5Cx%20%3D%20%5Cfrac%7B3y-5%7D%7B4%7D%5C%5C4x%20%3D%203y-5%5C%5C4x%2B5%20%3D%203y%5C%5C%5Cfrac%7B4x%2B5%7D%7B3%7D%20%3D%20y%5C%5Cf%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%7B4x%2B5%7D%7B3%7D)
Verify Answer:
![f(1) = \frac{3(1)-5}{4} = -0.5\\f^{-1}(-0.5) = \frac{4(-0.5)+5}{3} = 1](https://tex.z-dn.net/?f=f%281%29%20%3D%20%5Cfrac%7B3%281%29-5%7D%7B4%7D%20%3D%20-0.5%5C%5Cf%5E%7B-1%7D%28-0.5%29%20%3D%20%5Cfrac%7B4%28-0.5%29%2B5%7D%7B3%7D%20%3D%201)