Answer:
x = -1 <--- axis of symmetry
(-1, -9) <-- vertex
2, -4 (or, in my old precalc class we wrote our roots as (2,0) and (-4,0)) <--- roots
Step-by-step explanation:
a) Axis of symmetry equation is defined as
= x (i memorized this)
Quadratic equation form:
And our original equation:
So..
So our axis of symmetry is at x = -1,
b) now vertex point can be found by plugging this value back into our original equation.
y = 
y = 1 - 2 - 8
y = - 9
So our vertex is at (-1, -9)
c) Finally, lets factor
= 0 (when finding the roots, set y = 0, because we are trying to find where we cross the x-axis)
= 0
x = 2; x = -4 <--- Roots
Answer:
The value of the width must be less than or equal to 4.1 meters
Step-by-step explanation:
we know that
The perimeter of the rectangular section is given by
we have
substitute
Remember that
The manager can use no more than 23 m of rope
so
The perimeter must be less than or equal to 23 m
solve for W
subtract 14.8 both sides
divide by 2 both sides
The value of the width must be less than or equal to 4.1 meters
The answer to question 2 is d question 3 would beA
Answer:
6.99
Step-by-step explanation:
4.3+1.7=6
41.94/6=6.99
D.
This is because:
8/8 rounds up to a whole number and 12/9 and 3/2 are improper fractions as the numerator (top number) is more than the denominator (bottom number)
