MATHEMATICS HIGH SCHOOL

A set of equations is given below:Equation C: y = 3x + 7
Equation D: y = 3x + 2

How many solutions are there to the given set of equations?

One solution
Two solutions
Infinitely many solutions
No solution

Answers

Answer 1
Answer: If you would like to know how many solutions are there to the given set of equations, you can calculate this using the following steps:

y = 3x + 7
y = 3x + 2
____________
y = y
3x + 7 = 3x + 2
7 = 2
7 - 2 = 0
5 = 0 ... no solution

The correct result would be no solution.
Answer 2
Answer:

By using the substitution method, we can deduce that this set of equations has: D. no solution.

Given the following data:

  • y = 3x + 7
  • y = 3x + 2

What is a system of equations?

A system of equations is also referred to as a set of equations and it can be defined an algebraic equation with only two (2) variables, which can be solved simultaneously.

Equating the given equations, we have:

y = y

3x + 7 = 3x + 2

3x - 3x = 2 - 7

0 = -5

In conclusion, we can logically deduce that this set of equations has no solution.

Read more on equations here: brainly.com/question/13170908

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What is the factored form of 27d^6+8g^12?

Answers

Answer

(3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)


Explanation

We can factor out the following equation as follows:

27d⁶ + 8g¹² = 3³d⁶ + 2³g¹²

               = (3d²)³ + (2g⁴)³

                = (3d² + 2g⁴)((3d²)² - 3d²2g⁴ + (2g⁴)²)

               =  (3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)
I hope this helps you

Simplify each equation, then solve. 1) log 2 128=x

Answers

\log _( 2 ){ 128 } =x\n \n \log _( 2 ){ \left( { 2 }^( 7 ) \right) } =x\n \n 7\cdot \log _( 2 ){ 2 } =x

\n \n 7\cdot 1=x\n \n \therefore \quad x=7
l[tex]log_(2)128=x\n\n Formula\ for\ log:\nlog_(a)c=b\ \ \ =>\ a^b=c\n\n2^x=128\n\n 2^x=2^7\n\n x=7\n\nSolution\ is\ x=7.[/tex]

write an equation of a line with the given slope and y-intercept. m = –2, b = 4 a. y = –2x 4 b. y equals negative one half x plus 4 c. y = 4x – 2 d. y = –2x – 4

Answers

One of the many ways of writing the equations of lines is the slope - intercept form. This is generally expressed as, 
                                 y = mx + b
where m is the slope and b is the y-intercept. 
Substituting the known values of m and b to the equation above, 
                                 y = -2x + 4

Thus, the answer is letter A. 

Answer: (A) y = -2x + 4

Step-by-step explanation:

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

A, or 50.24 ft.

Step-by-step explanation:

Doing the equation above, we know the radius of the circle, which is 8 ft.

8ft times 2 is 16ft.

16ft times pi gives us (rounded) 50.24 ft.

The diagonal of a square measures 32 meters. what is the area of the square?

Answers

512 So take the length halve it then square it and multiply by 2. Hope that helps

Which test point holds true for 2/5x - 1/5>=0 ?

Answers

2/5x >= 1/5 multiple both sides by 5/2
so , x >= 1/2
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