Step-by-step explanation:
a) The rule is <em><u>multiply the previous term by 6 then add 13</u></em>. So if the 1st term is n0 = -2, then the next term n1 is
n1 = 6n0 + 13
= 6(-2) + 13
= 1
n2 = 6n1 + 13
= 6(1) + 13
= 19
So the sequence goes like
-2, 1, 19
b) Now the sequence is reversed so let's write the terms as follows:
19, 1, -2
The new rule now is <em><u>subtract</u></em><em><u> </u></em><em><u>1</u></em><em><u>3</u></em><em><u> </u></em><em><u>then</u></em><em><u> </u></em><em><u>divide</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>6</u></em><em><u>.</u></em> You can check this as follows:
n0 = 19
n1 = (n0 - 13)/6
= (19 - 13)/6
= 1
n2 = (n1 - 13)/6
= (1 - 13)/6
= -2
Answer:
we have two solution x = 5 and x = 11
but in given problem x = 5 and x = –11
thus, only one of his solution x = 5 is correct
Step-by-step explanation:
Given
–2|8 – x| – 6 = –12
adding 6 both sides
–2|8 – x| – 6 +6= –12 +6
–2|8 – x| = –6
dividing both side by -2
–2|8 – x| /-2 = –6/-2
=>|8 – x| = 3
we know that
in modulus function |Y| = -y or y
Thus
|8 – x| = 3
can be written as
8-x = 3 or 8- x = -3
8-x-3 = 0 or 8-x+3 = 0
5-x = 0 or 11 -x = 0
x = 5 or x = 11
thus, we have two solution x = 5 and x = 11
but in given problem x = 5 and x = –11
thus, only one of his solution x = 5 is correct
Answer:
80
Step-by-step explanation:
First recall that:
1 inch=12 feet
The volume of cube-shaped boxes with 12-inch edges is 1 cm³
The volume of a box that is 4
feet tall, 4 feet long, and 5 feet wide is
given by:
We substitute l=4ft, w=5ft and h=4ft
To obtain:
Therefore 80 cube-shaped boxes with 12-inch edges can fit into a box that is 4
feet tall, 4 feet long, and 5 feet wide.
To find these two lets convert this into slope-intercept form:
-7x + 7y = -17
7y = 7x -17
y = x - 17/7
So, the slope is 1 and the y-intercept is -17/7
Hope this helps!
