Answer:
f(1) = -8
Step-by-step explanation:
Apparently, you want the argument of the function such that the function value is -8. Fill in the given information and solve for x:
-8 = -7x -1
-7 = -7x . . . . add 1
1 = x . . . . . . . divide by -7
Now, you know that ...
f(1) = -8
X - y = 7
y = x - 7
Parallel = same slope
The slope is 1
Y = x + b
0 = 1 + b, b = -1
Equation: y = x - 1
The area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3
<h3>How to determine the area bounded by the curve, x-axis and y-axis?</h3>
The curve is given as:
y = √(x + 3)
The area bounded by the curve, x-axis and y-axis is when x = 0 and y = 0
When y = 0, we have:
0 = √(x + 3)
This gives
x = -3
So, we set up the following integral
A = ∫ f(x) d(x) (Interval a to b)
This gives
A = ∫ √(x + 3) d(x) (Interval -3 to 0)
When the above is integrated, we have:
A = 1/3 * [2(x + 3)^(3/2)] (Interval -3 to 0)
Expand
A = 1/3 * [2(0 + 3)^3/2 - 2(-3 + 3)^3/2]
This gives
A = 1/3 * 2(3)^3/2
Apply the law of indices
A = 2(3)^1/2
Rewrite as:
A = 2√3 or 3.46
Hence, the area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3
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Answer:
$13.92
Step-by-step explanation:
$212.90-198.98
Answer:
Step-by-step explanation:
The given statement is the scale factor:
This can be rearranged to the formula ...
Filling in the given scale distances, you find the actual distances to be ...