Answer:
Step-by-step explanation:
1) Replace f(x) with y: y = 19/x^3
2) Interchange x and y: x = 19/y^3
3) Solve this result for y: xy^3 = 19, or y^3 = 19/x, or
y = ∛[19/x]
-1
4. Replace this y with the label f (x) = ∛[19/x]
Answer:
(a) -7, (b) 2
Step-by-step explanation:
a) When x = 0,
=> x² - 8x - 7
=> (0)² - 8(0) - 7
=> 0 - 0 - 7
=> - 7
b) When x = -1,
=> x² - 8x - 7
=> (-1)² - 8(-1) - 7
=> 1 + 8 - 7
=> 9 - 7
=> 2
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
Answer:
3710
Step-by-step explanation:
Perpendicular lines have negative reciprocals. This means that if you multiply the slopes of both lines, the product will be a -1.
In your given point-slope equation, the slope is 1/3. Therefore, the negative reciprocal of 1/3 must be -3.
Out of the given options:
y + 2 = -3(x — 4)
y = -3x - 5
are the linear equations that are perpendicular to y — 1 = 1/3(x + 2).
Therefore, the correct answers are Options 1 and 3.
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Answer:
The radius of the cylinder is: r = 11 yards
Step-by-step explanation:
Given
The height of cylinder = h = 16 yards
Volume of cylinder = V = 6079.04 cubic yards
To determine
The radius of cylinder = r = ?
Using the formula involving volume of the cyliner
V = πr²h
substituting h = 16, V = 6079.04 and π = 3.14
6079.04 = 3.14 (r²) 16
r² = [6079.04] / [(3.14) (16)]
r² = 6079.04 / 50.24
r² = 121
As radius can not be negative.
Therefore, the radius of the cylinder is: r = 11 yards
