Answer:

Step-by-step explanation:
If I represent the worker's position relative to the surface of the earth then
if we let Δy = the change of position.

Answer:
SSS
Step-by-step explanation:
Only sides are given, not angles, so you know it's side-side-side
We are given the following information:
the sum of the first number cubed and the second number is 500
their product is a maximum
We are looking for the 2 missing numbers.
To answer this, let's represent the two numbers as x and w.
From the given, we can form the following equation:

We can then express y as:

We can express their product as:

To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.

Then we solve for the value of x where f'(x) = 0.

Then we use x = 5 to solve for the second number, w.

Therefore, the two numbers are 5 and 375.
Answer:
x = 19
Step-by-step explanation:
The shape of the flower base has six sides of equal lengths. This means that the flower base is a regular hexagon. A regular hexagon is a closed polygon with six equal sides and six equal angles.
Each side of the base measures x - 6, and the perimeter of the base is 78 units.
Length of each side = x - 6
The total length of the base = perimeter of the base.
The total length of the base is gotten by summing all the sides of the base. Since the base has 6 sides, therefore the total length of the base = 6(x - 6). Hence:
Perimeter of base = 6(x - 6)
78 = 6x - 36
6x = 78 + 36
6x = 114
x = 114 / 6
x = 19
Length of each side of base = x - 6 = 19 - 6 = 13 units
Answer:
D. y = -(x-5)(2x+1)(x+3)
Step-by-step explanation:
"r" is a zero of the polynomial when (x -r) is a factor.
The three given zeros mean that (x -5), (x -(-1/2)), and (x -(-3)) will be factors of the equation. The product of the constants in these binomials (and any vertical scale factor) must be equal to the y-intercept.
For some scale factor "a", we want ...
(a)(-5)(1/2)(3) = 15
a = 15/(-7.5) = -2
and the desired polynomial function is ...
y = -2(x -5)(x +1/2)(x +3 = -(x -5)(2x +1)(x +3) . . . . matches choice D
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<em>Comment on the answer choices</em>
It's all about the details. The various answer choices differ in various signs, so you need to pay attention.