Answer:
36
Step-by-step explanation:
divide the 72 pieces by 2, you already know that 6 + 6 is 12, and 30 +30 is 60, so add 60 and 12 and you get 72
The first ratio is 1:4 so if x is 6 then 6x4 is 24 your answer is 24.
Y = x + 2
It starts out at (0,2) which means it needs to be up 2 from the parent graph (y = x). Then using the slope equation, the slope is 1
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.
Answer:
(i) k =1
(ii) y-intercept is 7
Step-by-step explanation:
<u>Given line:</u>
<u>Divide all terms by k to get slope-intercept form of the line</u>
<u>Since the gradient (slope) of the line is 2:</u>
<u>The equation is now:</u>
<u>y - intercept is found when x = 0</u>
- x = 0 ⇒
- y = 2*0 + 7
- y = 7