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viva [34]
2 years ago
5

40 POINTS !!! What is the extraneous solution (undefined) to the equation

Mathematics
2 answers:
aleksklad [387]2 years ago
5 0

Answer:

x = 4

x= -6

(I apologize if it is wrong.)

NikAS [45]2 years ago
4 0
X should equal -6 and 4 but 4 doesn’t work.
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Kelly had some rope in her closet. She cut the rope into 7 equal pieces. Each piece was ft long.
rewona [7]

the correct answer is c 7 feet i hope this helps you out 
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3 years ago
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The equation 2x^2 + x - 1 = 0 has two solutions. Find an equation of the form ax^2 + bx + c = 0, which solutions....
leonid [27]

Answer:

Step-by-step explanation:

Let the solution to

2x^2 + x -1 =0

x^2+ (1/2)x -(1/2)

are a and b

Hence a + b = -(1/2) ( minus the coefficient of x )

ab = -1/2 (the constant)

A. We want to have an equation where the roots are a +5 and b+5.

Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.

The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.

So the equation is

x^2-(19/2)x + 22 =0

2x^2-19x + 44 =0

B. We want the roots to be 3a and 3b.

Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and

(3a)(3b) = 9(ab) =9(-1/2)=-9/2.

So the equation is

x^2 +(3/2) x -9/2 = 0

2x^2 + 3x -9 =0.

4 0
3 years ago
Troy Ulman received his annual savings account statement, showing $78.75 in interest. If his savings account balance was $2,100
Naya [18.7K]
Answer is 3.75%

3.75% = 0.0375

0.0375 + $2,100 = <span>$78.75</span>

4 0
3 years ago
A diamond ring was reduced from $999.99 to $699.99. Find the percent decrease in the price. Round the answer to the nearest tent
poizon [28]

Answer:

30.0% decrease.

Step-by-step explanation:

A diamond ring was reduced from $999.99 to $699.99

The decrease is; $999.99 - $699.99 = $300.00

Percentage decrease = \frac{decrease}{original price} × 100

i.e percentage decrease = \frac{300}{999.99} × 100 = 30.0003%

And it equals to 30.0% (rounded off to the nearest tenth of a percent)

5 0
3 years ago
43x+ 67y = -24 and 67x + 43y = 24 solve
aleksandrvk [35]

Answer:

  (x, y) = (1, -1)

Step-by-step explanation:

We'll write these equations in general form, then solve using the cross-multiplication method.

  43x +67y +24 = 0

  67x +43y -24 = 0

∆1 = (43)(43) -(67)(67) = -2640

∆2 = (67)(-24) -(43)(24) = -2640

∆3 = (24)(67) -(-24)(43) = 2640

These go into the relations ...

  1/∆1 = x/∆2 = y/∆3

  x = ∆2/∆1 = -2640/-2640 = 1

  y = ∆3/∆1 = 2640/-2640 = -1

The solution is (x, y) = (1, -1).

_____

<em>Additional comment</em>

The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)

4 0
3 years ago
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