Answer:
600+30+0+0.0+0.05+0.002
Step-by-step explanation:
Six hundred thirty and fifty-two thousandths
Answer:
23
Step-by-step explanation:
8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23
Answer:
A and D
Step-by-step explanation:
Moving the line left would be moving it onto the y - axis
Therefore the solution would be any point that starts with 0
So (0, 1), (0, 2), (0, -9), etc.
Answer:
The proof is detailed below.
Step-by-step explanation:
We will first prove that if H(x) is a differentiable function in [a,b] such that H'(x)=0 for all x∈[a, b] then H is constant. For this, take, x,y∈[a, b] with x<y. By the Mean Value Theorem, there exists some c∈(x,y) such that H(y)-H(x)=H'(c)(x-y). But H'(c)=0, thus H(y)-H(x)=0, that is, H(x)=H(y). Then H is a constant function, as it takes the same value in any two different points x,y.
Now for this exercise, consider H(x)=F(x)-G(x). Using differentiation rules, we have that H'(x)=(F-G)(x)'=F'(x)-G'(x)=0. Applying the previous result, F-G is a constant function, that is, there exists some constant C such that (F-G)(x)=C.