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sattari [20]
2 years ago
6

Algebra 2 help needed image below urgent !!!

Mathematics
1 answer:
sukhopar [10]2 years ago
5 0

Answer:

Domain = x ≥ 0

Range = y ≥ 20

Step-by-step explanation:

The equation in slope-intercept form would look like this:

y = 4x + 20

The slope is $4 because that is the money that can be made depending on the week. Because he received a random $20 at the beginning, this is just an additional income.

                     ---------------------------------------------------------------------------

In this scenario, the domain (x-values) represent the number of weeks. The range (y-values) represent the total money made.

So the domain is asking, what is the lowest/highest amount of weeks he can save for? We know the number of weeks cannot be negative because he can't save for negative weeks. However, he could save for zero weeks. He can be saving for theoretically infinite weeks. Therefore, the domain is x ≥ 0.

The range is asking, how much money can he save? Since he starts out with a baseline of $20, this is the lowest amount of money he can have. If he were to save for an infinite amount of weeks, he could make an infinite amount of money. Therefore the range is y ≥ 20.

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A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
ira [324]

Answer:

The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft

Step-by-step explanation:

We were given the volume of the tank as, 2048 cubic feet.

Form minimum weight, the surface area must be minimum.

Let the height be h and the lengths be x

the volume will be: V=x²h then substitute the value of volume, we have

2048=hx²

hence

h=2048/x²

Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.

The surface area of the box described is

A=x²+4xh

Then substitute h into the Area equation we have

A= x² + 4x(2048/x²)

A= x² + 8192/x

We want to minimize

A

dA/dx = -8192/x² + 2 x= 0 for max or min

when dA/dx=0

dA/dx= 2x-8192/x²=0

2x=8192/x²

Hence

2x³=8192

x³=4096

x=₃√(4096)

X=16ft

Then h=2048/x²

h=2048/16²

h=8ft

The box should have base 16ft by 16ft and height 8ft

Hence the dimensions are 16 ft by 16 ft by 8 ft

8 0
3 years ago
The area of the base b is the area of a square with sides of length 230 m. so, v =
goldfiish [28.3K]
Not completely sure what you are asking, but the area of a square with the side lengths of 230m would be 230*230=52,900.
4 0
3 years ago
The equation y=-7x-5 and the solution of (-2,9)
Black_prince [1.1K]
Y=-7x-5 
9=-7(-2)-5
9=14-5
9=9
Please mark the brainliest, if you think i helped!
8 0
4 years ago
Quadrilateral RAPS is located at the vertices
blondinia [14]

Answer:

R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the line y = x, the new point is at  A'(y, x)

If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Since Quadrilateral RAPS is located at the vertices  R(-4,1), A(-3, 4), P(0,5), S(-1,1), After been reflected  across the line y = x, the new locations are at:

R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1)

Then the rotation of the points R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1) 180° about the origin gives:

R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)

3 0
3 years ago
Which of the following best satisfies the requirements of a set?
tatyana61 [14]

I need a image otherwise I can't answer this question

6 0
3 years ago
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