Answer:
(f - g) (x)
Step-by-step explanation:
Since (x) is common between them, you can bring it out. for example,
f(x) = x +1
g(x) = 2x + 3
f(x) - g(x) = x + 1 - 2x + 3
= -x + 4
(f - g) (x) = x + 1 - 2x + 3
= -x + 4
Answer:
13
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [2, 6 ]
f(b) = f(6) = 6² + 5(6) - 8 = 36 + 30 - 8 = 58
f(a) = f(2) = 2² + 5(2) - 8 = 4 + 10 - 8 = 6
Hence
average rate of change = 
= 
= 13
Answer:
Option A.
Step-by-step explanation:
-22 is a number that is less than-18. This automatically eliminates option B.
And also, the way that option A. moves is -22, -20, -19, -18, 18, 30. This is correct because -18 is closer to 18 than -22 is. -22 is farther to the left than -18 is.
Hope this helps! :)
Answer:
D is false
Step-by-step explanation:
f(x) = -2x2 + 4x + 6 should be written with a " ^ " to indicate exponentiation:
f(x) = -2x^2 + 4x + 6.
Because of the - sign, we know that the graph of this function opens down, so there is a maximum at the vertex. We can determine the x-value at the vertex by using the formula x = -b/(2a), which here is x = -4/(2*-2), or 1.
Evaluating f(x) = -2x^2 + 4x + 6 at x = 1, we get -2 + 4 + 6, or 8. So statement A is true: there's a max at (1, 8). This is also the vertex of the graph.
Let's now look at C and D. We evaluate f(x) at x = 3 and x - 2. If the output (y) value is 0, we know we have an x - intercept:
f(3) = -2(9) + 4(3) + 6 = 0. Yes, C is true, (3, 0) is an x-intercept.
f(-2) = -2(4) - 8 + 6 is not 0. Therefore D is false; (-2, 0) is not an x-intercept.
Look at B: Let x = 0 and find y: it's 6. Thus, (0, 6) is the y-intercept. B is true.
A₁ = 1; r=1.5
a₉ = a₁ * r⁸ = 1 * 1.5⁸ ≈ 25.63
Answer: c. 25.63
