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larisa86 [58]
2 years ago
7

Roger says that the equation x²-12x+36=0 has only one solution, Regina says Roger is wrong and that the fundamental theorem of a

lgebra guarantees that a quadratic equation must have two solutions. Who is correct and why?
Mathematics
1 answer:
solniwko [45]2 years ago
8 0

Answer:

The answer is that Regina is absolutely right

Step-by-step explanation:

Hello!

The answer is that Regina is absolutely right, this is because the fundamental theorem of algebra states that every polynomial equation has the same number of solutions as its highest exponent, for this case it is 2. Therefore, there are two values of X that cause the equation to result in zero

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LCM of x<sup>2</sup>+5x+6 and x<sup>2</sup>-x-6 is ………………………
sergejj [24]

Answer:

(x^2 - 9)(x + 2)

Step-by-step explanation:

Given:

x^2 + 5x + 6

x^2 - x - 6

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

x^2 + 5x + 6

x^2 + 3x + 2x + 6

(x^2 + 3x) + (2x + 6)

x(x + 3) + 2(x + 3)

(x + 2)(x + 3)

x^2 - x - 6

x^2 - 3x +2x - 6

x(x - 3) + 2(x - 3)

(x + 2)(x - 3)

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

x^2 + 5x + 6 = (x + 2)(x + 3)

x^2 - x - 6 = (x + 2)(x - 3)

The common factors would be: =>

(x + 2) (this is common in both polynomials, so we would take just one of them as a factor.

(x + 3) and,

(x - 3)

Their product = (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2)

4 0
3 years ago
What is 8×8 answer is​
Allushta [10]

Answer:

it's answer is 8*8 = 64

...

6 0
3 years ago
Read 2 more answers
A company reports the following income statement and balance sheet information for the current year:
Pachacha [2.7K]

Answer:

9.4

Step-by-step explanation:

The net income for theis company is $216,060

The average total assets is 2,290,000

Therefore the return on total assets is

= 216,060/2,290,000

= 0.0943×100

=9.4

5 0
3 years ago
34. Lora is thinking of a number. It is less than 50 It is a 2-digit number. 3 is a factor of this number. The sum of its digits
-Dominant- [34]

Answer:

B

Step-by-step explanation:

The number is between 10 and 49

The number is divisible by 3

Let the 10s digit = x

Let the units digit = y

1/3 * (10x + y)  = x + y          multiply both sides by 3

10x + y = 3(x +y)                  remove the brackets.

10x +y = 3x + 3y                  Subtract 3x from both sides

10x - 3x + y = 3y                  Combine\

7x + y = 3y                           Subtract y from both sides.

7x = 3y - y                           Combine

7x = 2y

x can't be very big. Even taking 1/3 will get out of range is you use 6.

Also x should be an even number. The units digit cannot have a fraction in it.

Try making x = 2

7*2 = 2*y

14 = 2y                                Divide by 2

14/2 = y

y = 7

So the number is possibly 27. Let's check it out.

  • The number is between and includes 10 and 49. 27 is between these two endpoints.
  • 27 is divisible by 3
  • 1/3(27) = sum of digits
  • 9 = (2 + 7)

All of the conditions are met. It's B

8 0
2 years ago
I need help pls !!!!
Phantasy [73]

Answer:

See Below

Step-by-step explanation:

Ok, so in this problem you have some vertical angles. These are angles oppisites from each other. Therefore; d = 52, f = ?, and e = 77. All the angles added together will = 360. Let's add up the angles we know and subtract the whole from 360.

52 + 52 + 77 + 77 = ?

104 + 154 = 258

360 - 258 = 102

Since we know that f and the unlabeled angle are the same, we need to divide this total between the two of them.

102/2 = 51

Therefore;

d = 52

e = 77

f = 51

3 0
3 years ago
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