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)!!!
Answer:
=−7p−23
Step-by-step explanation:
2.3 is smaller than 2.6: we can see it just by looking at the digits from left to right.
now, where does 2
stand?
its fraction part is equal to
do that means that 2
=2.8
which is bigger than 2.6
so the final order is
2.3 2.6 2
Answer:
94.18
Step-by-step explanation:
Given in the question a semi circle and a right angle triangle
Step 1
Find the diameter of the semi circle
To find the diameter we will use pythagorus theorem
<h3>hypotenuse² = height² + base²</h3>
here,
hypotenuse will be diameter of semicircle
height = 9
base = 4
Plug values in the formula above
diameter = √(9²+4²)
diameter = √97
Step 2
Find radius
<h3>radius = diameter / 2</h3>
Step 3
Area
<h3>π(r)²</h3>
π(√97/2)²
= 76.18
Step 4
Total surface area = area of circle + area of right angle triangle
= 76.18 + 1/2(9)(4)
= 94.18
I believe the correct answer is thirty six point seven
