Answer:
A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.
B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.
Step-by-step explanation:
f(x) = 12x^2 + 5x - 2.
Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).
To find the roots of f(x), set f(x) = 0. Therefore:
12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:
12x^2 + 8x - 3x - 2 = 0.
4x(3x + 2) -1(3x+2) = 0.
(4x-1)(3x+2) = 0.
4x-1 = 0 or 3x+2 = 0.
x = 1/4 or x = -2/3.
It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!
The Length of the rectangle is 11 ft and the width is 16 ft
Answer:
<em>If </em><em>the </em><em>difference</em><em> </em><em>of </em><em>x </em><em>and </em><em>2</em><em>2</em><em>=</em><em>8</em>
<em>then </em><em>equation</em><em> is</em><em> </em>
<em>X </em><em>-</em><em>2</em><em>2</em><em>=</em><em>8</em>
<em>X=</em><em>2</em><em>2</em><em>+</em><em>8</em>
<em>X=</em><em>3</em><em>0</em>
<em>therefore</em><em> </em><em>now </em><em>we </em><em>put </em><em>the </em><em>value</em><em> of</em><em> x</em><em> in</em><em> the</em><em> </em><em>equation</em>
<em>3</em><em>0</em><em>-</em><em>2</em><em>2</em><em>=</em><em>8</em>
<em>8</em><em>=</em><em>8</em>
Answer:
A
Step-by-step explanation:
i dont know im guessing bc finals are tommorow and i need points
Answer:
x = 9/4
Step-by-step explanation:
Since the x coordinates are the same, it is a veritcal line with x = 9/4