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VladimirAG [237]
3 years ago
15

How can you tell when an equation in one variable has infinitely many solutions or no solution?

Mathematics
1 answer:
Masteriza [31]3 years ago
6 0

Answer:

A system has infinitely many solutions when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is ��has solution set (4-3z, 5+2z, z) where z can be any real number.

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Homer wants to identify the center and radius of the circle defined by the equation x2 + y2 - 14x +
Klio2033 [76]

Homer has made mistake in step 2

When you complete the square, you need to add the values to both sides of equation

<em><u>Solution:</u></em>

<em><u>Given equation of circle:</u></em>

x^2 + y^2 -14x + 2y -25 = 0

Let us first calculate center and radius and find out where he did the mistake

<em><u>Step 1:</u></em>

Group the terms

x^2 -14x + y^2 + 2y = 25\\\\(x^2 -14x) + (y^2 + 2y) = 25

<em><u>Step 2:</u></em>

(x^2 -14x + 49) + (y^2 + 2y + 1) = 25 + 49 + 1

But homers step 2 is:

(x^2 -14x + 49) + (y^2 + 2y + 1) = 25

So homer has made mistake in this step

When you complete the square, you need to add the values to both sides of equation

But homer did not add 49 and 1 to right side of equation

Correct steps are:

(x^2 -14x + 49) + (y^2 + 2y + 1) = 75\\\\(x-7)^2 + (y+1)^2 = 75

Comparing general equation of circle,

(x-h)^2 + (y-k)^2 = r^2

Therefore, center is ( 7, -1) and radius is 8.66

8 0
3 years ago
Choose the answer based on the most efficient method as presented in the lesson.
Mashcka [7]

Answer:

You would not subtract 3...

Step-by-step explanation:

It should be

2x- 8= 5x+3

subtract 5x from both sides,

then add 8 onto both sides, then you would get 0 on one side, and 11 on the other so you would have

-3=11 which equals

3.6

5 0
3 years ago
.(3x+1)(x-3)<br> Binomial
Dafna11 [192]

Answer:

3x^2−8x−3

Step-by-step explanation:

(3x+1)(x−3)

=(3x+1)(x+−3)

=(3x)(x)+(3x)(−3)+(1)(x)+(1)(−3)

=3x^2−9x+x−3

=3x^2−8x−3

5 0
3 years ago
Item 2
Inessa05 [86]

The question is an illustration of a division model.

The boxes will be completed with: 1650, 231, 50 and 7

The expression is represented as:

\mathbf{1881 \div 33}

Express 1881 as 1650 + 231.

\mathbf{1881 \div 33 = (1650 + 231) \div 33}

Split

\mathbf{1881 \div 33 = 1650 \div 33 + 231 \div 33}

Evaluate each division

\mathbf{1881 \div 33 = 50 + 7}

\mathbf{1881 \div 33 = 57}

The above illustration means that, the boxes will be completed with the following numbers

  • 1650
  • 231
  • 50
  • 7

See attachment for proper illustration

Read more about division models at:

brainly.com/question/15163437

8 0
2 years ago
What is the probability that the one missing piece is a yellow piece with four holes
aniked [119]
I wanna say 14%, just because if you add the total of pieces divided by the 5 yellow with 4 holes, you'll receive the answer 0.14.
6 0
4 years ago
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