Answer:
Parallel
<u>Step-By-Step Explanation:</u>
Put the Function in Slope Intercept Form and Find the Slope of 6x+3y = 15
6x+3y = 15
3y = -6x + 15
3y/3 = -6x/3 + 15/3
y = -2x + 5
<u>We can see that the slope of 6x+3y = 15 is -2</u>
Put the Function in Slope Intercept Form and Find the Slope of y–3=–2x
y–3=–2x
y = -2x + 3
Here are our two Functions In Slope Intercept Form
y = -2x + 5
y = -2x + 3
<u>Remember the m = slope and the b = y-intercept</u>
y = mx + b
y = -2x + 5
y = -2x + 3
------------------------------------------------------------------------------------------------------
We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.
answer:
x = 4
y = 19
step-by-step explanation:
- we know that this is a parallelogram, so opposite sides are equal
- this is one of the properties of a parallelogram
therefore,
segment AB = segment DC <em>and</em> segment AD = segment BC
- now plug in the expressions according to what we know (& solve)
AB = DC
5x - 13 = 9x - 29
-13 = 4x - 29
16 = 4x
x = 4
AD = BC
3y - 11 = 2y + 8
y - 11 = 8
y = 19
Z score = n - mu / d where mu = mean and d = std dev.
for n = 14 we hav ez score of (14-20) / 2.8 = -2.143
unusual as he is in the bottom 5%
Answer:
B is correct
Step-by-step explanation:
f(x) domain: x ≥ 1 (on the right of line x=1)
f–1(x) range: y ≥ 1 ( above line y=1)
We must find the slope of the graph first, we can do this by finding two perfect points and inputting those points into the formula y2 - y1/x2 - x1
Perfect point #1: (0,1)
Perfect point #2: (2,5)
As mentioned above, input these numbers into our formula.
5-1 = 4
2 - 0 = 2
4/2 = 2
So, the slope of the graph is 2.
Now, we must find the y-intercept which can be found based on where the line intersects with the y-axis. As we can see, the line intersects at (0,1) therefore the y-intercept of the graph is 1.
We now form a linear equation:
y = 2x + 1
However, since this is linear equality graph we will replace the equal sign with an inequality symbol. The inequality symbol we can use is based on the direction of the shaded area. If shaded up, we use the "greater than symbol", if down then we use the "less than symbol".
The line also matters, if the line is dotted we use the normal inequality symbol, but if it is straight then we use one of the "equal to" inequality symbols.
As for our graph, we have a dotted line with the shaded area upwards. Therefore, we will be using the greater than symbol and not a "equal to" symbol.
So, our answer would be y > 2x + 1