2464829438
The next number is 2,464,829,439
Answer:
Step-by-step explanation:
The last (fourth) graph is that of the parent function y = √x. The negative sign in front of √x leads to reflection of this parent function graph in the x-axis. Thus, the correct graph of f(x) = -√x is the first one.
Answer:
y = x² - 8x + 17
Step-by-step explanation:
Recall this formula:
y = a(x-h)² + k
Original equation was y = x², which in this form looks like
y = 1(x - 0)² + 0
If the shape of the graph didn't change, that means that a (the compressor/intensifier) stayed the same (a - value) meaning we can write the equation as..
y = (x-h)² + k
Remember, (h, k) is the vertex, which looking from your graph is at (4, 1)
y = (x - 4)² + 1
y = x^2- 8x + 16+1
y = x² - 8x + 17
3 + 5(9+2n)
Distribute the 5 to the items in the parentheses
3 + 5(9+2n)
3 + 45 + 10n
Combine like terms
48 + 10n
By the polynomial remainder theorem, because <em>x</em> = 2<em>i</em> is a zero of <em>f(x)</em>, we have no remainder upon dividing <em>f(x)</em> by <em>x</em> - 2<em>i</em>.
Computing the quotient yields
Then if the remainder term is 0, follows that <em>a</em> = -12.
