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alekssr [168]
3 years ago
5

1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not ha

ve a solution.
2.) Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

3.) Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0

9514 1404 393

Answer:

  1. x = x+1
  2. 0 = x+1
  3. x+1 = x+1

Step-by-step explanation:

1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.

If we choose to make our equation ...

  x = x +1

Subtracting x from both sides of the equation gives ...

  0 = 1

There is no value of the variable that will make this be true.

__

2. Something that reduces to x = c will have one solution. One such equation is ...

  0 = x+1

  x = -1 . . . . subtract 1 from both sides

__

3. Something that reduces to x = x will have an infinite number of solutions.

One such equation is ...

  x+1 = x+1

Subtracting 1 from both sides gives ...

  x = x . . . . true for all values of x

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Please answer QUICKLY!!!
sergiy2304 [10]

Answer:

the range is {7,5,1}

Step-by-step explanation:

To find the range, just plug in the domain into the function.

f(-1) = -2(-1) + 5 = 7

f (0) = -2(0) + 5 = 5

f(2) = -2(2) + 5 = 1

8 0
2 years ago
Factor 4x squared-35x+4
ANEK [815]
4x^2-35x+4\\\\a=4;\ b=-35;\ c=4\\\\\Delta=b^2-4ac\to\Delta=(-35)^2-4\cdot4\cdot4=1225-64=1161\\\\x=\frac{-b\pm\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{1161}=\sqrt{9\cdot129}=3\sqrt{129}\\\\x=\frac{-(-35)\pm3\sqrt{129}}{2\cdot4}=\frac{35\pm3\sqrt{129}}{8}\\\\4x^2-35x+4=4\left(x-\frac{35-3\sqrt{129}}{8}\right)\left(x-\frac{35+3\sqrt{129}}{8}\right)
8 0
3 years ago
Use the given information to determine which of the following relationships
Anon25 [30]

Answer:

B. ∆LMN ≅ ∆OPQ because of ASA

Step-by-step explanation:

Two triangles are congruent if two angles and an included side of one triangle are congruent to two corresponding angles and a corresponding included side of the other.

From the information given, we have:

Two angles (<L and <M) in ∆LMN that are congruent to two corresponding angles (<O and <P) in ∆OPQ.

Also, included side in both triangles are congruent (ML ≅ PO).

Therefore, ∆LMN ≅ ∆OPQ by the ASA Theorem.

6 0
3 years ago
Minh wrote the following number sentence 2.6 + 0.33= 59. Use estimation to show that Minh's answer is incorrect.
Ne4ueva [31]
2.6 rounds to 3, and 0.33 would round to 0.50. Adding 3 and 0.50 together would equal to 3.50. 59 and 3.50 are no where near to each other which concludes Minh is incorrect.
(Please mark me brainliest)
3 0
3 years ago
A line has a slope of 3/5. It passes through (3,5) and (x,9). What is the value of x?
blagie [28]
This is in 2 point form
(y2-y1)=m(x2-x1)
(9-5)=3/5(x-3)
x=29/3
4 0
3 years ago
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