Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose bush has. she finds a linear relationship that can be modeled by the equation y = 1.345x + 4. what does the 1.345 mean in the context of the problem?

It is the number of blooms per ounce of fertilizer added.

Step-by-step explanation:

This equation is written in slope-intercept form, y = mx+b, where m is the slope and b is the y-intercept.

The slope describes the rate of change between the dependent and independent values.  In this problem, the amount of fertilizer is thought to change the number of blooms; this means the amount of fertilizer is the independent variable and the number of blooms is the dependent variable.  This makes the slope the number of blooms per ounce of fertilizer added.

In our problem, the number beside x, the slope, is 1.345.  This makes it the slope.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.