Answer:
<em>Tick:</em>
<em>- the coefficient of the second term is -5</em>
<em>- the coefficient of the fourth term is -10</em>
Explanation:
The coefficient of an expression is simply the number placed before and multiplying the variable (e.g. 10x ; the coefficient is 10, the variable is x)
Hope this makes sense. Feel free to inquire further if need be!
- profparis
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: Are
Explaning
I think they are similiar because there is parralel lines they are perpendicular and opposite angles are equal making 25 = its oppisite side
The ratio of the circumference of the circle to the perimeter of the square is 
<em><u>Explanation</u></em>
Area of the square = 9 inch²
If the side length of the square is
, then

So the side length of the square is 3 inch.
Now as the square is inscribed in a circle, so the diagonal of the square will be diameter of the circle.
Length of the diagonal of square =
inch
So, the diameter of the circle
inch
If the radius of the circle is
, then

Circumference of the circle,
inch
and Perimeter of the square,
inch
So, the ratio will be: 
Answer: p x 7
Step-by-step explanation:
Number of people times 7 (the amount of money paid)