Answer:
a₆ = 13x + 31
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
Here a₁ = 3x + 1 and d = 2x + 6 , then
a₆ = 3x + 1 + 5(2x + 6)
= 3x + 1 + 10x + 30
= 13x + 31
Y=ax+b, y=cx+d (a≠0, c≠0)
If the two line cross perpendicularly ⇔ ac= -1
So a tangent of the perpendicular line is "-(1/5)".
Then, the equation of the perpendicular line is y=-(1/5)x+a (a is <span> y-intercept</span>).
On the other hand, this equation pass r(1, 3), so
3 = -(1/5) times 1 + a
∴ a=16 / 5
Therefore, y=-(1/5)x+16 /5 is answer.
By the way, I'm Japanese so if you find some mistakes in my English, please let me know.
Answer:
<h2><em><u>Option</u></em><em><u> </u></em><em><u>B</u></em><em><u>:</u></em></h2><h2>

</h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
Number of numbers of each side of the cube
= 4, 5, 6, 7, 8 and 9
= 6 numbers
Number of sides of cube having the number 5
= 1
<em><u>Therefore</u></em><em><u>,</u></em><em><u> </u></em>
Probability of getting a side of the cube of no. 5 is


Answer:
The third graph is the graph of the function provided
Step-by-step explanation:
A simple technique that can be used to identify the graph that matches the given function is; determination of the y-intercept and then using elimination method to match the function with its graph. At the y-intercept the value of x is always zero, so we replace x with zero in the right hand side of the equation; y(x) = 2^(0+3) = 8. The graph of the function should therefore cross the y-axis at the point (0,8). Thus, the third graph is the graph of the given function.
Here is not one equation that (6,24) is a solution for - there are many.
<span>y = 4 x is a simple one </span>
<span>y = -4 x + 48 is another</span>