Answer:
4(-6), 6(-4), 12(-2)
Step-by-step explanation:
-4(6) = -4 x 6 = -24
so
4(-6) = 4 x -6 = -24
6(-4) = 6 x -4 = -24
12(-2) = 12 x -2 = -24
Answer: a - 4
b - 1
c - 2
d - 3
e - 5
Step-by-step explanation:
Answer: 2(x2 + 10x + 16)
Step-by-step explanation: You need to factor the whole equation by 2. In other words divide each term by 2 and put parentheses to indicate factoring. You should get 2(x2 + 10x + 16)
Answer: It's a tie between f(x) and h(x). Both have the same max of y = 3
The highest point shown on the graph of f(x) is at (x,y) = (pi,3). The y value here is y = 3.
For h(x), the max occurs when cosine is at its largest: when cos(x) = 1.
So,
h(x) = 2*cos(x)+1
turns into
h(x) = 2*1+1
h(x) = 2+1
h(x) = 3
showing that h(x) maxes out at y = 3 as well
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Note: g(x) has all of its y values smaller than 0, so there's no way it can have a max y value larger than y = 3. See the attached image to see what this graph would look like if you plotted the 7 points. A parabola seems to form. Note how point D = (-3, -2) is the highest point for g(x). So the max for g(x) is y = -2
Answer:
5 rad
Step-by-step explanation:
Recall that the length of an arc of circumference is given by the formula:
, where
is the subtended angle [in radians] from the circumference's center.
Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle
using the above equation as shown below:
