Answer:
that's the correct answer
Answer:
205
Step-by-step explanation:
Were gonna start by writing an equation (121+184+x)/3=170 because were adding a 3rd value to the average and x is going to be our value that were looking for. If you solve that, you get 205. Hope this helps.
Answer:
Domain: (-∞, ∞)
Range: [0, ∞)
Step-by-step explanation:
The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)
The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)
Answer:
This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3
Step-by-step explanation:
The given function is

When we differentiate this function with respect to x, we get;

We want to find all values of c in (1,7) such that f(7) − f(1) = f '(c)(7 − 1)
This implies that;




![c-3=\sqrt[3]{63.15789}](https://tex.z-dn.net/?f=c-3%3D%5Csqrt%5B3%5D%7B63.15789%7D)
![c=3+\sqrt[3]{63.15789}](https://tex.z-dn.net/?f=c%3D3%2B%5Csqrt%5B3%5D%7B63.15789%7D)

If this function satisfies the Mean Value Theorem, then f must be continuous on [1,7] and differentiable on (1,7).
But f is not continuous at x=3, hence this hypothesis of the Mean Value Theorem is contradicted.
Answer:

Step-by-step explanation:
<u><em>The correct question is</em></u>
What value of b will cause the system to have an infinite number of solutions?
y = 6x – b
–3x + 1/2y = –3
we have
----->equation A
-----> equation B
we know that
If the system has infinite number of solutions then, the equation A must be equal to the equation B
so
isolate variable y in the equation B

Multiply by
both sides

-------> new equation B
To find out the value of b, equate equation A and equation B

