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EleoNora [17]
3 years ago
9

What is the answer and work to this problem. 4x+2y=14 2x+y=7

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

The given system of equation has no solution.

<u>Step-by-step explanation</u>:

<u><em>step 1</em></u><em> :</em>

The given equations are 4x + 2y = 14 and 2x + y = 7.

<u><em>step 2</em></u><em> :</em>

Let 4x + 2y = 14 be the first equation.

Let 2x + y = 7 be the second equation.

The solution (x,y) can be determined by solving the two equations, if only the given two equations are different.

<u><em>step 3</em></u><em> :</em>

In first equation taking 2 out as a common factor on both sides, the equation becomes:

2 (2x + y) = 2 (7)

So, the first equation resembles the second one.

<u><em>step 4</em></u><em> :</em>

Since both the equations are similar, they cannot be solved to get a solution. Therefore, the system of equation has no solution which is also known as inconsistent.

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2x^5 + 4x^4 – x^3 - x^2 + 7 is divided by 2x^2 - 1.
mixer [17]

Answer: 11

Step-by-step explanation: 2x^5 + 4x^4 – x^3 - x^2 + 7= 11

2x^2 - 1= 1

2x^5 + 4x^4 – x^3 - x^2 + 7 is divided by 2x^2 - 1.=11

4 0
3 years ago
What is 76/10 in a mixed number??
cestrela7 [59]
A mixed number is in the form x y/z while a improper fraction (76/10) is in the form y/z. We can separate the fraction into two parts. One is 70/10 which = 7 and the other is 6/10 which simplifies to 3/5. So, in order to express 76/10 as a mixed number we must express it as 7 3/5 or 7 6/10. 7 3/5 is equal to 7 6/10.

I hope this helped you!  
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5 0
3 years ago
A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than
ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

  • A cuboid has 6 faces.
  • A cuboid contains 8 vertices.
  • A cuboid contains 12 edges .
  • The total surface area of a cuboid is

           = 2(length×breadth+breadth×height+length×height) square units

  • The dimension of a cuboid is written as length×breadth×height.
  • The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

=[x\times 2x\times (x+2)]   cubic inches

=[2x^2(x+2)]     cubic inches

=(2x^3+4x^2)     cubic inches

According to the problem,

2x^3+4x^2=192

\Rightarrow 2x^3+4x^2-192=0

\Rightarrow 2(x^3+2x^2-96)=0

\Rightarrow (x^3+2x^2-96)=0

\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0

\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0

\Rightarrow (x-4)(x^2+6x+24)=0

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

 length=(2×4) inches=8 inches

 and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0
3 years ago
Pls help me in one question in math
Scrat [10]

Answer:

the actual total is 722 so maybe 700 since it's closer

Step-by-step explanation:

8 0
3 years ago
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What is half of 90 ?
Anna35 [415]

half means 2

90 divided by 2

90/2

Answer: 45

3 0
3 years ago
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