Answer:
8th term of geometric sequence is 312500
Step-by-step explanation:
Given : 
and common ratio (r) = 5
We have to find the 8th term of the geometric sequence whose and common ratio (r) = 5
Geometric sequence is a sequence of numbers in which next term is found by multiplying by a constant called the common ratio (r).
......(1)
where 
is nth term and a is first term.
For given sequence
a can be find using and r = 5
Substitute in (1) , we get,
Thus, 8th term of the sequence denoted as 
Substitute n= 8 in (1) , we get,
Thus 8th term of geometric sequence is 312500
Answer:
<em>x = 2.5</em>
Step-by-step explanation:
- 2x - ( - 5 - 4x ) = - 5 ( 2x - 7 )
- 2x + 5 + 4x = - 10x + 35
- 2x + 5 + 4x = - 10x + 35
- 2x + 4x + 10x = 35 - 5
12x = 30
<em>x = </em>
<em> = 2.5</em>
Check the answer:
<em>L.H.S.</em> = - 2(2.5) - [ - 5 - 4(2.5) ] = <em>10</em>
<em>R.H.S.</em> = - 5 [ 2(2.5) - 7 ] = <em>10</em>
The graphs of the given equations are parallel.
<h3>What is the slope-intercept form of a line?</h3>
The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.
The given equations are y = x +10 and y = x+5.
The equations are in the slope-intercept form of y = mx +b.
Therefore, the slopes of both lines are 1.
Two lines are parallel if they have the same slope.
Therefore, the graphs of the given equations are parallel.
To learn more about the slope-intercept form of a line, click here:
brainly.com/question/9682526
#SPJ1
If one angle is d° then it's supplement is
(180-d)°
Answer) That graph is not a function
Explanation) The graph that you provided is not a function. It does not pass the vertical line test. The vertical line test is when you draw a vertical line (l) at any point on the graph and it should touch 1 or less parts of the graph. If you put the line at x=1, the vertical line only touches the graph at (1,8.5) but if you put the line at x=5, it touches (5,1) and (5,8.5) so it does not pass the test. You should be able to put the line anywhere and have it touch ONLY 1 point. There cannot be multiple of the same x values.
