<h3>
Answer: True</h3>
The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
Answer:
The answer would be B.2100
Step-by-step explanation:
To find the surface area of a triangular prism, first find the lateral area. The lateral area is the product of the perimeter of the base and the height. The perimeter of the base is 15 in.+20 in.+25 in.=60 in., so the lateral area is 60 in.⋅30 in.=1800 in.2. The surface area of any prism is the lateral area plus the base area. Because each base is a right triangle, the area of each base is 12bh. Because the legs of the right triangle are perpendicular, you can use one of them as the base and one as the height. So, the base area is 12⋅20 in.⋅15 in.=150 in.2. There are two bases, so the surface area is 1800 in.2+150 in.2+150 in.2=2100 in.2.
Answer:
x-intercept = 3 ; y-intercept = -5
Step-by-step explanation:
Lets rearrange the equation into the form y = mx + b:
5x - 3y = 15
-3y = 15 - 5x
Divide by -3:
y = 5x/3 - 5
Here we know that b (-5) is the y-intercept, and we can find the x-intercept by starting at the y-intercept and using the slope till we get the x-intercept. Or you can set y = 0 and solve for x, either way you get x-intercept = 3.
So, if the <span>number is between -3 and 3, It couldn't be more than 3, so C isn't the answer. It also doesn't have to be equal to 3.
B, </span><span>|x| < 3, would be your answer.
Hope this helps!</span>
