Answer:

Step-by-step explanation:
The given sequence is
-12,-16,-20...
The first term of this sequence is
.
The common difference is


The nth term of this arithmetic sequence is;

We substitute the values for the first term and the common difference to obtain;

Descent = 10 feet
Time required = 2 1/2 minutes.
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min
In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft
Answer:
(a) 4 feet/minute
(b) 24 feet
Answer:
- y = 2x + 3
- y = -6x
- y = -x + 2
- y = 2x - 7
Step-by-step explanation:
<u>Slope-intercept form:</u>
<em>Hint. if we have x = 0, then the y-coordinate is the same as b</em>
<u>Slope</u>
33.
- m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
- b = 3 as per table (0, 3)
34.
- m = (0-12)/(0 - (-2)) = -12/2 = -6
- b = 0, as per table (0, 0)
35.
- m = (2 - (-2))/(0 - 4) = 4/-4 = -1
- b = 2, as per table (0, 2)
36.
- m = (-5 - (-1))/ (1 -3) = -4/-2 = 2
Using point (3, -1)
- -1 = 2*3 + b
- b= -1 - 6= - 7
Answer:
a)
,
,
,
, b)
,
,
, 
Step-by-step explanation:
a) The equation must be rearranged into a form with one fundamental trigonometric function first:





Value of x is contained in the following sets of solutions:
, 
, 
b) The equation must be simplified first:




Value of x is contained in the following sets of solutions:
, 
, 
Answer:
72 cupcakes
Step-by-step explanation:
Morgan can make 4 cupcakes with one cup of flour. She has 18 cups of flour and suppose she can make x cupcakes, then
1 cup of flour - 4 cupcakes
18 cups of flour - x cupcakes
Write a proportion:

Cross multiply:
