Answer:
f(-2) = 2 and f(0) = 0.
Step-by-step explanation:
The piece wise function is given by, f(x) = x³ for x ≠ - 2 and f(x) = |x| for x = - 2.
Now, as defined above at x = -2, f(x) = |- 2| = 2
So, f(-2) = 2
Again, at x = 0, f(x) = x³ = (0)³ = 0.
So, f(0) = 0.
Hence, f(-2) = 2 and f(0) = 0. (Answer)
Answer:
a) 3/4
b) 3/4
c) 3/4
d) all are 3/4
Step-by-step explanation:
The slope of a line is defined as the change in y divided by the change in x. This is often referred to as "rise over run":
slope = Δy/Δx = "rise"/"run"
The triangles are drawn against the line so that you can use them to identify values of "rise" (vertical change) and "run" (horizontal change) between two points on the line.
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<h3>a)</h3>
The slope of the segment AC is found by dividing the "rise" (BC = 3) by the "run"(AB = 4)
slope of AC = BC/AB = 3/4
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<h3>b) </h3>
The slope of FH is similarly computed. Here, it is made a little more difficult, because you must estimate the value of GH.
slope of FH = GH/FG = 1.5/2 = 0.75 = 3/4
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<h3>c) </h3>
The slope of CE is ...
slope of CE = DE/CD = 6/8 = 3/4
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<h3>d)</h3>
The slopes in a), b), c) are all 3/4.
You can reasonably draw the conclusion that the slope of a line is the same everywhere. A line has constant slope.
We have trapezoid with congruent legs.
30x + 11y = 2x + 3
28x +11y = 3
Also we have
30x + 11y = 12
We got 2 equations:
30x + 11y = 12
28x +11y = 3 (*-1) -----> -28x -11y = -3
30x + 11y = 12
<u> -28x -11y = -3</u>
2x = 9
x=9/2
30x + 11y = 12 ------> 30*9/2 +11y =12 ------> 135+11y =12, ---> 11y = - 123,
y= - 123/11
5x + 7
5x represents the weight of the 5 striped fish.
7 represents the fish that weighs 7 pounds.
