Answer:
y= 6x -8
Step-by-step explanation:
<u>Slope-intercept form: </u>
y= mx +c, where m is the gradient and c is the y-intercept.

Gradient

= 6
y= 6x +c
To find the value of c, substitute the equation with a pair of coordinates.
When x= 1, y= -2,
-2= 6(1) +c
c= -2 -6 <em>(</em><em>-6</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
c= -8
Thus, the equation of the line is y= 6x -8.
Look at my upload to see the graph, I couldn't see the choices, so I can't give you a definite answer. But the graph below is the correct one.
Hope that helped!
Answer:
7/16 of a yard
Step-by-step explanation:
Let's put the boards to the same denominator so it's easier.
Let's go with a denominator of 16
1/4= 4/16
7/8= 14/16
3/16 stays the same.
So, 4/16+3/16+x=14/16
7/16+x=14/16
x=7/16 of a yard, the length of the 3rd board.
Answer: 27434
Step-by-step explanation:
Given : Total number of vials = 56
Number of vials that do not have hairline cracks = 13
Then, Number of vials that have hairline cracks =56-13=43
Since , order of selection is not mattering here , so we combinations to find the number of ways.
The number of combinations of m thing r things at a time is given by :-

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

Hence, the required number of ways =27434
Answer: The value of
is
.
Step-by-step explanation:
Given: 
To find: 
As we know it is composition function which means that g(x) function is in f(x) function.
So we have
![(f_\circ g) (x) = f[g(x)]](https://tex.z-dn.net/?f=%28f_%5Ccirc%20g%29%20%28x%29%20%3D%20%20f%5Bg%28x%29%5D)

Now substitute the value of g(x) we get

Hence, the value of
is
.