Answer:
the ability to objectively analyze information and draw a rational conclusion
Step-by-step explanation:
Answer:
324
Step-by-step explanation:
Given:
Find:
First, find f(x):
Now,
Answer:
0.000174
3.5841 x 10^7
4.67 x 10^6
Step-by-step explanation:
1.74 x 10^-4 as an ordinary number
As an ordinary number, the decimal point will be moved 4 times to the left due to the negative power
Hence 1.74 x 10^-4 as an ordinary number
= 0.000174
358.41 x 10^5 in a standard form
In standard form, only one number will be before the decimal point, the number of times the decimal point is moved (to ensure that only the first digit is before the point) is added to the power of ten. Hence
358.41 x 10^5 in a standard form
= 3.5841 x 10^5+2
= 3.5841 x 10^7
4 670 000 in a standard form
As done above, only one digit will be before the decimal
4 670 000 in a standard form
= 4.67 x 10^6
Answer: x = -3, -1/3, 1/2, 3
Step-by-step explanation:
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)!!!
