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Oksana_A [137]
3 years ago
10

Which linear system of equations does the matrix represent 4 -7 -14 4 -12 4

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0
The given matrix represent the following linear system

   4x  - 7y = -12
-14x + 4y =    4

Good luck!!!
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Please help solve this equation. Show all steps please. No links or files.
maksim [4K]

Answer:

See below

Step-by-step explanation:

c = (a^2 + 3b) / 4       multiply both sides by 4

4c = a^2 + 3b           subtract a^2 from both sides

4c - a^2 = 3b            now divide both sides by 3

(4c-a^2) / 3 = b          

3 0
2 years ago
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
3 years ago
Using the vertical line test. Is this a function?
marta [7]

Answer:

Can't get one(Read explanation)

Step-by-step explanation:

What you do to find out if its a function is see if any of the dots are in the same x value. If they are, its not a function. If they aren't it is a function.

7 0
3 years ago
New streetlights will be installed along a section of the highway. The posts for the streetlights will be 7.5 m tall and made of
SIZIF [17.4K]
First, we determine the volumes of the posts may it be cylindrical in shape or rectangular prism. 

(A) cylindrical:
                         ( π(26.7/100)² - π(24.2/100)²)*(7.5) = 0.3 m³
(B) rectangular prism:
                          (40/100)²(7.5) - (35/100)²(7.5) = 0.28125 m³

Then, we calculate for the amount of substance
 (A) cylindrical:   (0.3 m³)(2700 kg/m³) = 810 kg
 (B) rectangular prism : (0.28125 m³)(2700 kg/m³) = 759.375 kg

Then, calculate for the costs
 (A) (810 kg)($0.38/kg) = $307.8
 (B) (759.375 kg)($0.38/kg) = $288.56

Thus, the answer for A is rectangular post 
B. About $19.24 can be saved. 
6 0
3 years ago
Help me with hanger math...
andrew11 [14]
The answer is 3 First you subtract 2 from 17 and then you divide 15 by 5 to get the answer of 3
6 0
3 years ago
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