I know b is James, Olivia, Feng, Carmela
f (x ) = 2 x + 5
For g (x) we will solve the system:
- 1 =-2 m + b
+
-9 = 2 m + b
----------------------
-10 = 2 b, b = -5
-9 = 2 m - 5
2 m = -4
m = -2
g ( x ) = - 2 x - 5
For h (X):
m = (-1-5 ) / ( 3-0 ) = -6/3 = -2
5 = 0 + b, b = 5
h ( x) = - 2 x + 5.
Now we have 4 linear functions:
1 ) f ( x ) = 2 x + 5
The slope is m = 2, y - intercept: y = 5 , zero: x = -2.5 and the function increases ( m > 0 ).
2 ) g(x) = - 2 x - 5
The slope is m = - 2, y-intercept: y =-5 , zero: x = -2.5 and the function decreases ( m < 0 ).
3 ) h ( x ) = - 2 x + 5
The slope is m = - 2, y - intercept . y = 5, zero: x = 2.5 and the function decreases.
4 ) j (x) = 2 x + 5
The slope is m = 2, y -intercept: y = 5, zero: x = -2.5 and the function decreases.
The functions f( x ) and j ( x ) are parallel and also g( x ) and h ( x ). They have the same slope.
The functions f ( x ) and j (x ) are increasing and h ( x ) and h ( x ) are decreasing.
The answer is
D. A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 4, the bar for the second range goes to 2, the bar for the third range goes to 3.
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Answer:
a = 3/28
Step-by-step explanation:
<em>To start solving for a variable, you need to isolate it.</em>
-4/3b = 4a
<em>-4/3 divided by 4 equals -4/12 or </em><em>-1/3</em>
a = -1/3b
<em>To completely solve for </em><em>a</em><em> we need to plug it back in and solve for </em><em>b</em><em>.</em>
b = (4(-1/3b)) - 3/4
b = -4/3b - 3/4
7/3b = -3/4
b = -9/28
<em>Finally, we can plug </em><em>b</em><em> back in to the previous equation we got for </em><em>a</em><em> to solve for </em><em>a</em><em>.</em>
a = -1/3(-9/28)
a = 3/28
<em>Furthermore, we can check if this is correct by plugging in </em><em>3/28</em><em> for </em><em>a</em><em> into the original problem and see if we get what we got for </em><em>b</em><em> (</em><em>-9/28</em><em>)</em>
Slope is the steepness of a line while the y-intercept is the point where the line crosses the y-axis.
