Hi there!
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I believe your answer is:
18in³
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Here’s why:
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Assuming that the figure is a rectangular prism:
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Hope this helps you. I apologize if it’s incorrect.
After 45 minutes you will have painted 4*45=180 square feet.
so the total number of painted area, y, is:
y=180+x*(3+4) after the 45 minutes
where x is the number of minutes AFTER THE 45 minutes:
if y is 1000 then
1000=180+x*7
820=x*7
x=117.14
so 117 minutes, or one hour and 57 minutes.
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)!!!
Slew lines are lines that don’t intersect (or cross over one another) and don’t lie on the small plane. So for an example, if you pick a line on the floor and a line on one of the walls, they would be skew lines because they are on different planes. It they also can’t intersect each other.
