The expression would be > 0.
Subtracting a negative is the same as adding a positive; therefore -18--18 = -18+18 = 0. Since we know that x>-18, 0 is below anything we could get from this.
Answer:
assssssssssssssap
Step-by-step explanation:
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MP is the best choice as both triangles have MP as the same vector
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.
Answer: C
Step-by-step explanation:
(fog)(3) is the same as finding f(g(3)). To solve, we first need to solve g(3). then, we solve for f(g(3)).
g(3)=5(3) [multiply]
g(3)=15
Now, we plug in 15 into f(x).
f(g(3))=-2(15)+8 [multiply]
f(g(3))=-30+8 [add]
f(g(3))=-22
Now, we know that C is the correct answer.
