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: 280 cm
Step-by-step explanation:
The base of each of the congruent triangles ABD and CBD is BD= 28 cm. The height of each is the perpendicular 10cm.
A=(2)(bh/2) works out to A= bh since the 2/2 cancel
So 10cm × 28cm = 280cm²
Answer:
Step-by-step explanation:
160miles • 330miles= 52,800square miles
Now it wants the population density in people per square miles, so you need to divide the population by the number of square miles.
4779736/52800=90.5 which is about 91people per square mile.
Answer:
z = 23 degrees.
Step-by-step explanation:
The 3 angles of a triangle add up to 180 degrees. Therefore:
62 + 95 + z = 180
z = 180 - 95 - 62
z = 180 - 157
x = 23 degrees (answer).
The space shuttle makes an ORBIT
