Answer:
see explanation
Step-by-step explanation:
The roots are the points on the x- axis where the graph crosses
The roots are (- 3, 0 ) or (1, 0 )
The turning point is at (- 1, - 4 ) ← where the graph turns
Draw a straight, horizontal line. Mark evenly-spaced scale divisions, 0 to 5 (because all of the given numerals fit within this domain).
Recognize that the LCD of these fractions and mixed numbers is 6.
Convert all of the given fractions to denominator 6, as needed (some already have that denominator).
Arrange the resulting fractions in ascending order. For example, 5/6, 1/6, 3/6 would become 1/6, 3/6, 5/6 (in ascending order).
Plot all your numerals (all of which have denominator 6) on your number line.
Answer:
16.7552
Step-by-step explanation:
The Area of a sector of a circle is θ/360 pi r²
so,
30/360 x 3.142 x 8 x 8
= 16.7551 to four decimal places is
This is a stupid question. The teacher who asked this needs to go back to school.
A = x⁴ - 9y²
That's going to be a number. As long as it's positive we can choose any length for our rectangle L and we can compute the width by W=A/L. So the correct answer is the dimensions are L by (x⁴ - 9y²)/L.
They don't want the correct answer. They want you to factor this expression. We'll do it, but don't believe for a second this factoring somehow constrains the possible dimensions of some rectangle.
We use the difference of two squares, a²-b² = (a+b)(a-b)
A = x⁴ - 9y² = (x²)² - (3y)² = (x²+3y)(x²-3y)
Answer: x²+3y by x²-3y
