Answer:
Step-by-step explanation:
Given Equation:
Solving the bracket on L.H.S
Taking the terms of 'x' to one side and the constants to other side
The value of 'x' after solving the equation is:
Answer:
an = 2·2^(n-1)
Step-by-step explanation:
There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.
The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...
4/2 = 2
8/4 = 2
16/8 = 2
These ratios are all the same (they are "common"), so the sequence is geometric.
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Filling in the values for this sequence, we find the general term to be ...
an = 2·2^(n-1)
Answer:
A
Step-by-step explanation:
Use the quadratic formula
The two equations are
and
the first equation can be solved for x to be
next you can substitute x in the second equation
Distribute 4 to everything in the parentheses
combine like terms:
subtract 28 from both sides of the equation
divide both sides by -1.5
plug this in to the original equation of x+y=7
subtract 4 from both sides.
Final Answer: they bought 3 adult tickets and 4 student tickets
Hope this helps!
Answer:
Option D.
Step-by-step explanation:
It is given that triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3).
Malik rotated the triangle 90° clockwise about the origin. So, rule of rotation is
Now,
The image points are X’(–3, 1), Y’(0, 0), Z’(–3, –1).
Therefore, the correct option is D.
