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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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ASAP please help!!!
Serggg [28]
Y+4<u><</u>9
subtract 4
y<u><</u>5
y is smaller than and equal to 5
so you shade from 5 to the negative end to infinity (to the left) and shade the 5 to show that it is included (attachment says A)







6 less than (-6) 2 times a number (2 time x) is greater than (>) 8 (8)

-6+2x>8
add 6
2x>14
divide 2
x>7
so
x is bigger than 7
shade from 7 to the positive end to infinity (to the right) and don't shade 7 but put a circle around it to show that it is not included (attachment says B )

I have included pictures of the number lines

4 0
3 years ago
Simplify 6m2n3 – 3m3n2 + 8m2n3 + 12m3n2
NISA [10]
Hello! Hope I can assist you.

Let us simplify some terms first!

6m\cdot \:2n\cdot \:3 \ \textgreater \  36mn
3m\cdot \:3n\cdot \:2 \ \textgreater \  2\cdot \:3^2mn
8m\cdot \:2n\cdot \:3 \ \textgreater \  48mn
12m\cdot \:3n\cdot \:2 \ \textgreater \  72mn

36mn-2\cdot \:3^2mn+48mn+72mn

From here, group like terms
36mn-2\cdot \:3^2mn+48mn+72mn

\mathrm{Add\:similar\:elements:}\:36mn+48mn+72mn=156mn
156mn-2\cdot \:3^2mn

2\cdot \:3^2mn \ \textgreater \  2\cdot \:9mn \ \textgreater \  18mn

156mn-18mn

\mathrm{Add\:similar\:elements:}\:156mn-18mn=138mn

Hope this helps!
6 0
2 years ago
Solve 7r+ 2 = 5(r – 4) ​
AveGali [126]

Multiply the bracket by 5

I used PEMDAS

P= parenthesis

E= exponents

M=multiplication

D= division

A= addition

S= subtraction

7r+2= 5(r-4)

7r+2= 5r-20

Move 5r to the left hand side . Positive 5r changes to negative 5r

7r-5r+2= 5r-5r-20

2r+2=- 20

2r+2-2= -20-2

Move positive 2 to the right hand side. Changes to negative -2

2r+2-2= -20-2

2r= -22

Divide by 2 for 2r and -22

2r/2= -22/2

r= -11

Answer is r= -11

6 0
2 years ago
Read 2 more answers
Please help! 5 Points. Hurry!
larisa [96]
<h2>Answer:</h2>

<u>The correct option is 3x + 4y = 10</u>

<h2>Step-by-step explanation:</h2>

The standard form for any linear equations having two variables is written as Ax+By=C. For example, 3x+4y=10 is a linear equation in standard form. When an equation is given in this form, it becomes easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations whose solution is required to find the point of intersection of given lines.

7 0
3 years ago
What is 25 minus 30 ( practice question )
bogdanovich [222]
The answer is negitive 5
3 0
2 years ago
Read 2 more answers
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