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erastova [34]
3 years ago
13

How many solutions does the equation below have? 2x – 7 + 19 = 6x - 4x + 12

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
3 0

Answer:

Infinity or All real numbers

Step-by-step explanation:

2x-7+19=6x-4x+12

2x+12=2x+12

    -12       -12

2x=2x

/2   /2

x=x

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Rewrite each expression as a sum or difference of terms. (i) (x+3)(x-3) (ii) (x^2-3)(x^2+3) (iii) (x^15+3)(x^15-3) (iv) (x-3)(x^
klasskru [66]

Answer:

All the answers are given below.

Step-by-step explanation:

(i) (x+3)(x-3) =x² -3² =x² -9 {Since (a+b)(a-b) =a² -b²}

(ii) (x²-3)(x²+3) =(x²)² -3² =x^{4} -9 {Since (a+b)(a-b) =a² -b²}

(iii) (x^{15} +3)(x^{15}-3) =(x^{15} )^{2}-3^{2}  =x^{30}  -9

(iv) (x-3)(x²-9)(x+3) =(x²-9)(x²-9)=(x²-9)²=x^{4}-18x^{2} +81{Since, (a-b)² =a²-2ab+b²}

(v) (x²+y²)(x²-y²) = (x²)² -(y²)² =x^{4}-y^{4}

(vi) (x²+y²)² =x^{4}+2x^{2}  y^{2} +y^{4} {Since (a+b)² =a²+2ab+b²}

(vii) (x-y)²(x+y)² =(x²-y²)² =x^{4} -2x^{2} y^{2}+y^{4} {Since (a-b)² =a²-2ab+b² and (a+b)(a-b) =a²-b²}

(viii) (x-y)²(x²+y²)²(x+y)² =(x²+y²)²(x²-y²)² =(x^{4} -y^{4} )^{2} =x^{8}-2x^{4}  y^{4} +y^{8} (Answer)

5 0
4 years ago
Factoring<br><img src="https://tex.z-dn.net/?f=10x%5E2%20-%2019x%20%2B%206" id="TexFormula1" title="10x^2 - 19x + 6" alt="10x^2
Mashcka [7]
Do you know the Rational Roots Theorem?  You could dream up possible rational roots by writing them in the form

plus or minus    {1,2, 3,6}   OVER  plus or minus {1,2,5,10}.  For example, 3/10 is rational and just might be a rational root.  Next, determine whether or not this is a rational root here thru synthetic division.

If you do not know this theorem, consider using one of the following:

quadratic formula

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7 0
3 years ago
Read 2 more answers
What is the value of 5 over 6 divided by 3 over 4
Kisachek [45]

Answer:

  • 10/9

Step-by-step explanation:

  • 5/6 ÷ 3/4 =
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7 0
3 years ago
The cost of purple dye has been increasing over the last few months, and Robyn uses this dye as part of her tie dye scarf busine
joja [24]

The lowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%

<h3>How to calculate the percentage?</h3>

(Price- Unit Cost)/Price= 20% or 0.2

Price- Unit Cost= 0.2 Price

0.8 Price = Unit Cost

Let Unit Cost be x

Price = x/0.8= 1.25x

Dye is 60% of unit costs= 0.6x

Cost of remaining material= 1 - 0.6x = 0.4x

Unit Cost= Cost of Dye+ Cost of remaining material

So, in order to become unprofitable, Unit Cost must be 1.25x

Therefore

1.25x= Maximum cost of dye+ 0.4x

Maximum Cost of Dye = (1.25-0.4)x = 0.85x

Percentage change in cost of dye= {(0.85x-0.6x)/0.6x}*100= 41.66 or 42%

Therefore, theowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%.

Learn more about percentages on:

brainly.com/question/24877689

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6 0
2 years ago
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