Which number carry’s the s?
What? what is the question?
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:
The volume of the prism is <u>320 15/16 inches³</u>.
Step-by-step explanation:
Given:
The length of the base of a rectangular prism is 9 7/8.
The width of the prism is 8 1/8.
And the height is 4 inches.
Now, to find the volume of the prism.
(Length) <em> l = 9 7/8 = 79/8 inches.</em>
(Width) <em> w = 8 1/8 = 65/8 inches</em>.
(Height) <em>h = 4 inches</em>.
So, by putting the formula to get the volume:
Volume = w×h×l.
<em>Volume = 320 15/16 inches³.</em>
Therefore, the volume of the prism is 320 15/16 inches³.
A) 500 × (1.015)^t = f(t) <span>
b)
500 </span>× (1.015)^t = 800 divide by 500
(1.015)^t = 1.6 solve for t
t <span>≈</span> 31.57 years
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