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Marysya12 [62]
1 year ago
13

The polynomial 3x² - 10x + 8 has a factor of 3x - 4. What is the other factor of 3x² - 10x + 8?

Mathematics
1 answer:
Marysya12 [62]1 year ago
4 0

Answer:

x-2

Step-by-step explanation:

~~~3x^2 -10x+8\\\\=3x^2 - 4x -6x +8\\\\=x(3x-4) -2(3x-4)\\\\=(x-2)(3x-4)

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nirvana33 [79]

Answer:

13. 15

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7 0
2 years ago
Suppose a room is 5.2 m long by 4.3m wide and 2.9 m high and has an air conditioner that exchanges air at a rate of 1200 L/min.
Readme [11.4K]

Answer:

54 minutes

Step-by-step explanation:

From the question, we are given;

  • A room with dimensions 5.2 m by 4.3 m by 2.9 m
  • The exchange air rate is 1200 L/min

We are required to determine the time taken to exchange the air in the room;

First we are going to determine the volume of the room;

Volume of the room = length × width × height

                                  = 5.2 m × 4.3 m × 2.9 m

                                  = 64.844 m³

Then we should know, that 1 m³ = 1000 L

Therefore, we can convert the volume of the room into L

= 64.844 m³ × 1000 L

= 64,844 L

But, the rate is 1200 L/min

Thus, time = Volume ÷ rate

                  = 64,844 L ÷ 1200 L/min

                   = 54.0367 minutes

                   = 54 minutes

Therefore, it would take approximately 54 minutes

4 0
2 years ago
Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cakes he plans to bak
pishuonlain [190]
1st and 4th answers are correct.
3 0
3 years ago
Read 2 more answers
Elena bought a backpacking tent to take with her on hiking trips.
Masteriza [31]

Answer:

Question 1 = c) Medium: 88 ft²

Question 2 = d) 46.7 ft³

Step-by-step explanation:

Question 1

We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.

The surface area of a square based pyramid(tent) =

a² + 2ah

Where in the diagram,

a = base length = 4 ft

h = height of the pyramid (tent ) = 9ft

Surface area = 4² + 2 × 4 × 9

= 16 + 72

= 88ft²

Therefore, the size tarp should she purchase is Medium: 88 ft²

Question 2

For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.

To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).

The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)

Where a = base edge

h = height of the pyramid.

From the diagram,

a = base edge => 4ft.

From the question,

h = height of the tent is given as how tall the tent is = 8.75ft.

Therefore, 1/3(a²h)

1/3 × (4ft)²× 8.75ft

= 46.67ft³

Approximately = 46.7ft³

Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³

3 0
3 years ago
N +8=4<br> Well I’m stupid so someone help
Vladimir [108]

Answer:

n = - 4

Step-by-step explanation:

n + 8 = 4

n = 4 - 8

n = - 4

8 0
3 years ago
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