If x^2+bx+16 has at least one real root, then the equation x^2+bx+16=0 has at least one solution. The discriminant of a quadratic equation is b^2-4ac and it determines the nature of the roots. If the discriminant is zero, there is exactly one distinct real root. If the discriminant is positive, there are exactly two roots. The discriminant of <span>x^2+bx+16=0 is b^2-4(1)(16). The inequality here gives the values of b where the discriminant will be positive or zero:
b^2-4(1)(16) ≥ 0
</span><span>b^2-64 ≥ 0
(b+8)(b-8) </span><span>≥ 0
The answer is that all possible values of b are in the interval (-inf, -8]∪[8,inf) because those are the intervals where </span>(b+8)(b-8) is positive.
Observing 150 is 3 times 50
So to keep it equivalent
40 times 3 is 120
Answer:
yeah why?
Step-by-step explanation:
The answer would be 36 because you just plug 3 in for x
Answer:
44 cm²
Step-by-step explanation:
To find the area of a compound figure like this, we can divide the shape into various rectangles and compute the areas of them separately before adding them together.
There are several ways to divide this shape, but for this we will section the shape into a 3×3 square, 4×2 rectangle, and a 3×9 rectangle.
To find the areas of them, multiple the length by the width.
For the 3×3 square at the top right-


The square is 9 cm².
For the 4×2 rectangle at the top left-


The rectangle is 8 cm².
For the 3×9 rectangle at the bottom-


The rectangle is 27 cm².
Now that we have the areas of each individual piece of the figure, we can add them together to find the total area of the shape.


The area of the figure is 44 cm².
I hope this helps ^^ Good luck :)