the assumption being that the first machine is the one on the left-hand-side and the second is the one on the right-hand-side.
the input goes to the 1st machine and the output of that goes to the 2nd machine.
a)
if she uses and input of 6 on the 2nd one, the result will be 6² - 6 = 30, if we feed that to the 1st one the result will be √( 30 - 5) = √25 = 5, so, simply having the machines swap places will work to get a final output of 5.
b)
clearly we can never get an output of -5 from a square root, however we can from the quadratic one, the 2nd machine/equation.
let's check something, we need a -5 on the 2nd, so
so if we use a "1" as the output on the first machine, we should be able to find out what input we need, let's do that.
so if we use an input of 6 on the first machine, we should be able to get a -5 as final output from the 2nd machine.
Answer:
208
Step-by-step explanation:
13 options for colours = 13C1 = 13
AND
2 options for A/C = 2C1 = 2
AND
2 options for transmission = 2C1 = 2
AND
2 options power windows = 2C1 = 2
AND
2 options for CD player = 2C1 = 2
So,
13×2×2×2×2 = 208
Step-by-step explanation:
2/5+2/4 (find common denominator)
The common denominator is 20
2/5 is 8/20 (multiply by 4)
2/4 is 10/20 (multiply by 5)
8/20+10/20 is 18/20
If you simplify 18/20 this would by 9/10 if you divide by 2
so the total is 18/20 or 9/10 simplified
Hope this helps!!!!
Have a nice day :)
If she completes 5 paintings each month for six months at the end of the six months she will have 30 paintings complete and will need to complete 8 more paintings before 38 paintings are complete.
The derivative of the given function is f'(x) = k f(x) where 
.
<h3>What is the derivative of a function?</h3>
Let f be a function defined on a neighborhood of a real number a. Then f is said to be differentiable or derivable at 'a' if 
exists finitely. The limit is called the derivative or differential coefficient of f at 'a'. It is denoted by f'(a).
If f is differentiable at 'a', then
<h3>Calculation:</h3>
The given properties are:
(i) f(x + y) = f(x)f(y) for all real numbers x and y.
(ii) 
= k; where k is a nonzero real number.
Then, the derivative of the function f(x) is,
f'(x) = 
From property (i), f(x + h) = f(x)f(h)
On substituting,
f'(x) = 
= ![\lim_{h \to 0} \frac{f(x)[f(h) - 1]}{h}](https://tex.z-dn.net/?f=%5Clim_%7Bh%20%5Cto%200%7D%20%5Cfrac%7Bf%28x%29%5Bf%28h%29%20-%201%5D%7D%7Bh%7D)
From property (ii), = k;
f'(x) =
= f(x).
= f(x). k
= kf(x)
Therefore, f'(x) = k f(x); where f'(x) exists for all real numbers of x.
Learn more about the derivative of a function here:
brainly.com/question/5313449
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