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Aleonysh [2.5K]
3 years ago
10

What does it mean for a ordered pair to be a solution to a linear equation​

Mathematics
1 answer:
jeka57 [31]3 years ago
8 0

Answer:

What's a Solution to a System of Linear Equations? Note: If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

6 0
3 years ago
Factor 4x^4+7x^2-2=0
natulia [17]

Answer:

(2x-1)(2x+1)(x^2+2) = 0

Step-by-step explanation:

Here's a trick:  Use a temporary substitution for x^2.  Let p = x^2.  Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.  

Find p using the quadratic formula:  a = 4, b = 7 and c = -2.  Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.  

Then the roots are:

       -7 plus or minus √81

p=   --------------------------------

                        8

p = 2/8 = 1/4 and p = -16/8 = -2.

Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2.  We cannot do quite the same thing with the factor p= -2 because the roots would be complex.

If x = 1/2 is a root, then 2x - 1 is a factor.  If x = -1/2 is a root, then 2x+1 is a factor.  

Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1.  Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0.  We get x^2+2 as quotient.

Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.

6 0
3 years ago
Fred is 5 inches shorter than the quotient of Rick’s height and 4. let r represent Rick’s height. Write an expression that repre
Sunny_sXe [5.5K]
  • Let r represent Rick’s height.
  • Therefore, the quotient of Rick’s height and 4
  • =  \frac{r}{4}
  • Fred is 5 inches shorter than the quotient of Rick’s height and 4.
  • Therefore, an expression that represents Fred’s height is
  • \frac{r}{4} - 5

Answer:

\frac{r}{4} - 5

Hope you could get an idea from here.

Doubt clarification - use comment section.

8 0
2 years ago
Read 2 more answers
Francisco is saving money in an account. At the beginning of the year, he has $56 in savings
aliina [53]

208 would be the  anser i think

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3 years ago
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