The Alpitude is 5 because that is what the positive slope is. The Vertex is (2,6) because that is the lowest point on the graph. The equation is
y=5lx-2l-6 (lx-2l reprsents the absolute value of x-2)
What is the shape of the angle?
Step-by-step explanation:
just look at the graphic : what value do we have on the cost side, when we have 1 pounds on the amount side ?
all the answer options specify a price per pound. that is why we only need to focus on the price for one pound.
we see in the graphic, that for 1 pound the price is $4.
just to make sure, we can also work with the directly specified point (0.5, 2), which means that 0.5 pounds cost $2.
and the function is clearly a straight line.
so, every point on the function has the same y/x ratio (slope).
therefore,
2/0.5 = 4
now, what point with x=1 has the same ratio ?
y/1 = 4
y = $4
perfect, the results are identical. so, $4 per pound is the correct answer.
Step-by-step explanation:
With reference angle A
perpendicular (p) = 3
base (b) = 4
Now
Tan A = p/ b
= 3/4
Hope it will help :)❤
<h3>
Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>
Step-by-step explanation:</h3>
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
___
If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620
