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andrew11 [14]
2 years ago
12

ther a Point Is Part of the Solution Decide whether each point is a solution to the system. y<=3x+4 and y<=3x-2 (0, –2) (5

, 0) (3, 13)
Mathematics
1 answer:
frosja888 [35]2 years ago
3 0

Answer:

(5,0) is the only solution out of those points

Step-by-step explanation:

If you graph the 2 inequalities you'll notice the point (0,-2) falls on the dotted line, since the line is dotted this can not be a solution as a dotted line entails that anything on that line is not a solution, for the point (3,13) it doesn't fall in a solution for either inequality due to what I just stated, the point (5,0) on the other hand falls in the domain and range of both inequalities.

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A wild animal generally stays at least x mi from the edge of a forest. For a rectangular forest preserve that is 2 mi
Butoxors [25]

Answer:

Area = 4x^2 - 14x + 10

Step-by-step explanation:

<em>See Attachment for Complete Question</em>

Given

Width = 5mi --- For the forest

Length = 2mi -- --- For the forest

Required

Determine the area of the habitat

Since the distance between the animal's habitat is x mi on both sides;

The length and width of the habitat is:

Width = 5 - (x + x)

Width = 5 - 2x

Height = 2 - (x +x)

Height = 2 - 2x

The area is then calculated as follows;

Area = Width * Height

Area = (5 - 2x) * (2 - 2x)

Expand

Area = 5(2 - 2x) -2x(2 - 2x)

Open Brackets

Area = 10 - 10x - 4x + 4x^2

Area = 10 - 14x + 4x^2

Reorder

Area = 4x^2 - 14x + 10

Hence; the required polynomial for the habitat area is:

Area = 4x^2 - 14x + 10

3 0
2 years ago
Please help me with this math question
earnstyle [38]
80.64
 because 16 times 12 is 192 
if every tile is 2 feet divide 192 by 2 
you should get 96 meaning there are 96 tiles
then take 96 and multiply by it by .84 because every tile is 84 cents 
you then get 80.64

6 0
2 years ago
Se necesitan 4/7 de litro de pintura para pintar un metro cuadrado de pared, si queremos pintar 2/5 de metro cuadrado de pared,
Assoli18 [71]

Answer:

8/35 de litro

Step-by-step explanation:

De la pregunta, sabemos que se necesitan 4/7 de un litro para pintar un metro cuadrado de pared.

Ahora necesitamos saber la cantidad de pintura necesaria para pintar 2/5 de un metro cuadrado.

Digamos que la cantidad necesaria es x

Ahora hagamos una relación matemática;

4/7 pinturas 1 metro cuadrado

x pintará 2/5 metros

cuadrados por lo tanto, x * 1 = 4/7 * 2/5 = 8/35

6 0
2 years ago
Gary won $70,000 in the lottery after all tax deductions. He invested part of the money at 11% and deposited the remainder in ta
Paraphin [41]
Let x represent the amount of money he invested at 11% and y money he invested at 12%. Now we write system of equations:

x*1.11 + y*1.12 = 70 000 + 7900
x + y = 70 000

We will multiply second equation with 1.11
x*1.11 + y*1.11 = 77700
and subtract if from first:
0.01*y =  200
y = 20000

x = 70000 - 20000 = 50000
6 0
2 years ago
The angle by which AB turns clockwise about point B to coincide with BC is ? degrees. If from point B, a point E is drawn direc
Oksana_A [137]
A) AB turn clockwise to coincide with BC

= ABD + DBC

= 33.3° + 30.6° 

= 63.9°


b) If E is drawn directly opposite C.

EBC is a straight line, so sum of angles =180°

ABE + ABD + DBC = 180°

ABE + 33.3° + 30.6° = 180°

ABE + 63.9° = 180°

ABE = 180 - 63.1

ABE = 116.9° 

Hope this explains it.
3 0
2 years ago
Read 2 more answers
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