Answer:
The value of x = 64. Hence, option A is correct.
Step-by-step Explanation:
We know that the rule:
can be represented as:
so
4³=x
x = 64
Thus, the value of x = 64. Hence, option A is correct.
Answer:
-5y and 4y
Step-by-step explanation:
this is because both of them have the same degree of variables, regardless of the signs of their coefficients, you can combine terms that follow the stated points above.
Answer: 257
Step-by-step explanation:
Given that:
a3 = 59
a7 = 103
The nth term of an Arithmetic Progression (A. P) is given by:
an = a1 + (n-1)d
Where a1 = first term of the sequence ;
d = common difference
Therefore a3 = 59 can be represented thus:
a3 = a1 + (3-1)d = 59
a3 = a1 + 2d = 59 - - - - (1)
a7 = 103
a7 = a1 + (7-1)d = 103
a7 = a1 + 6d = 103 - - - - - (2)
Subtracting (2) from (1)
(2d - 6d) = (59 - 103)
-4d = - 44
d = 11
Substitute d= 11 into (1)
a1 + 2d =59
a1 + 2(11) = 59
a1 + 22 = 59
a1 = 59 - 22
a1 = 37
The 21st term:
a21 = a1 + (21 - 1)d
a21 = 37 + 20(11)
37 + 220 = 257
If you add them all together, you'd get 157. Then you divide by 7 and you'd get 31.4
Answer:
-4
Step-by-step explanation:
your counting backward from 3
