Answer:
a) 
b) The inverse function is a reflection of the original function across the line
y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.
Step-by-step explanation:
To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).
d = 0.45c + 5.50
Then you solve for c
d - 5.50 = 0.45 c
c = (d-5.50)/0.45
Answer:
A
Step-by-step explanation:
The easiest way to figure this out is to substitute in the variables. So for a, 2=-5+7 is correct, and 7=0+7 is correct as well. If you were to look at the other answers, you would see that the equation would not match up. Hope this helps!
Answer:
1.22 feet, or 1 11/50 ft
Step-by-step explanation:
Find 1/25 th of 30 1/2 feet:
1 61 ft
----- * ---------- = 1.22 feet, or 1 11/50 ft
25 2
The length of the model is 1.22 feet, or 1 11/50 ft
We're looking for the two values being subtracted here. One of these values is easy to find:
<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:
</span><span>Each integral breaks down like so:
(3-1)*f(1)=4
(6-3)*f(3)=9
(10-6)*f(6)=16
(15-10)*f(10)=10.
So, the sum of all these integrals is 39, which means g(15)=39.
Then, g(15)-g(1)=39-0=39.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
The shorter piece x = 8.4 in
The longer one y = 15.6 in
Step-by-step explanation:
If we cut a string length L in to unequal pieces we get two pieces
first one with length x and the other one with length y
Let call x the smaller piece, then y = L - x will be the longer one
If x = 35 % then
x = 0,35* L and
y = L - x = L - 0,35*L ⇒ y = 0,65 L ⇒ y = 0.65*24
Now if L = 24 in
x = 0,35*24 ⇒ x = 8.4 in
and
L - x = 0.65*L ⇒ L - x = 0.65*24 y = L - x = 15.6 in
as way of verification you can add the length of the two pieces and find:
8.4 + 15.6 = 24 in
