Answer:
Step-by-step explanation:
The following points (coordinates) lie on a straight line with slope 3:
(1, 0), (2, 3), (3, 6), (4, 9) ... and so on
So the linear function is y = 3x + b, where b is the y-intercept.
These are vertical angles so they are equal so
6a + 11 = 2a + 83
now solve for a
The value of x is 1/13 (4th choice)
Step-by-step explanation:
![{a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} }](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%20%7D%20%20%3D%20%20%5Csqrt%5Bn%5D%7B%20%7Ba%7D%5E%7Bm%7D%20%7D%20)
If 14^x = ¹³√14, what value of <em>x </em>makes this equation true?
![\sqrt[13]{14} = {14}^{x} \\ \sqrt[13]{14} = {14}^{ \frac{1}{13} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B13%5D%7B14%7D%20%20%3D%20%20%7B14%7D%5E%7Bx%7D%20%20%5C%5C%20%20%5Csqrt%5B13%5D%7B14%7D%20%20%3D%20%20%7B14%7D%5E%7B%20%5Cfrac%7B1%7D%7B13%7D%20%7D%20)
So, the value of <em>x</em> is 1/13 (4th choice)
<em>Hope</em><em> </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
A) The membership cost starts at $23 and it adds $6 every year. The 23 would be your b and the 6 would be your slope, m, in the form y=mx+b.
y=6x+23
This equation means that you're starting at 23 dollars and adding 6 dollars with every x you add.
B) 2009-1995=14 This means that there's 14 years that the cost increased. 14*6=$84 The membership cost increased by anther $84 over the 14 years. You have to add 84 to 23 to find your total=$107.
C) Set $85 equal to 6x+23
85=6x+23
6x=62
x≈10
10 years later the cost will be $85.
1995+10=2005
Answer:
The y-intercept is 33ft.
Step-by-step explanation:
The ball is 33 feet away from the wall.
It will take the ball 11 seconds to touch the wall.
The slope is -3 feet. The ball is rolling towards the wall at 3 ft per second.
I hope this helps!
~Princess <3
