Answer:
There are 3027 chairs
Step-by-step explanation:
There are 2925 chairs in the theater and 102 chairs in the balcony
all together are 3027
It is opposite of what the equation is saying. Like if you had to add you would subtract or if you multiply you would divide.
F(x) = 3x + 1.....this is the same as y = 3x + 1.
In y = mx + b form, which is what y = 3x + 1 is in, the rate of change (slope) is in the m position and the y int (the initial value) is in the b position.
y = mx + b
y = 3x + 1
ur rate of change (slope)...number in the m position = 3
ur initial value (y int)...number in the b position = 1
so rate of change = 3 and initial value = 1
Answer:
−
√
(
9
+
y
)
2
>
1
Explanation:
−
√
(
9
+
y
)
2
, where y
<
−
10
Simplify the expression,
−
√
(
9
+
y
)
2
=
−
(
9
+
y
)
=
−
9
−
y
When y
<
−
10
,
−
y
>
10
Subtract 9 from both sides,
−
9
−
y
>
1 Hence,
−
√
(
9
+
y
)
2
>
1
the question doesn't say how many dolls. there would be an infinite number.
But we'll just form the equation for the nth doll.
Largest doll = 12 inches
2nd doll = (12) x 0.7
3rd doll = (12 x 0.7) x 0.7
4th doll = [(12 x 0.7) x 0.7) x 0.7
OK, We now see the pattern. Each successive doll is mult by the previous
doll height x 0.7
the Nth doll, 12 is mult by 0.7(n-1)
So, the height of the nth doll can be expressed as: 12 x 0.7(n-1)
example: 4th doll = 12 x 0.7(4-1) = 12 x 0.73
10th doll = 12 x 0.7(10-1) = 12 x 0.79 etc
