Answer:
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Well 3 feet=1 yard
so the conversion factor is 3ft/1yd
so 12 yards converted to feet is
12yd times 3ft/1yd
the yd will cancel and you will be left with 36 feet
each banner is 1 foot so 36/1=36
she can make 36 banners
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a =
, thus
y =
(x + 6)² - 1 ← in vertex form
Expand factor and simplify
y =
(x² + 12x + 36) - 1 ← distribute
y =
x² +
x + 4 - 1
=
x² +
x + 3 ← in standard form
24+8 = 30
30 - 12 = 18
18-9 = 8
There are 8 cards left in the stack
About 400 marbles. You simply set up a proportion and solve it as I did in the photo attached.