Answer: Total cost is $1.75
Explanation:
Since we have given that
Number of postcards bought by Doug's family= 7
Cost of each postcard including tax = $0.25
Total cost is given by
Now, we want to show this in number line :
On the number line put all the number with a difference of 0.25 and run the number line seven times and we get the answer.
Each step is of length 0.25 and there are 7 jumps to reach required answer.
So, after 7 jumps we reach at 1.75 which is the required answer.
Hence total cost is $1.75
parallel lines have the same slope
The slope-intercept form of a linear equatio is y=mx+b, where m stands for the "slope of the line" and b stands for the "y-intercept of the line"
They give you the equation y= -5/6x+3 Notice this is already on the slope-intercept form, so in this case the slope is -5/6 and the y-intercept is 3
You want an equation of the line that is parallel to the given line. The slopes must be the same, so m=-5/6
So far we have y=-5/6x + b
We don't have b yet but that can be found using the given point (6,-1) which tells you that "x is 6 when y is -1"
Replace that on the equation y=-5/6x + b and you get
-1 = (-5/6)(6) + b
-1 = -5 +b
4 = b
b = 4
We found b, or the y-intercept
Go back to the equation y = -5/6 x + b and replace this b with the b we just found
y = -5/6x + 4
Step 1) Draw a dashed line through the points (0,6) and (4,7). These two points are on the line y = (1/4)x+6. To find those points, you plug in x = 0 to get y = 6. Similarly, plug in x = 4 to get y = 7. The dashed line indicates that none of the points on this line are part of the solution set.
Step 2) Draw a dashed line through (0,-1) and (1,1). These two points are on the line y = 2x-1. They are found in a similar fashion as done in step 1.
Step 3) Shade the region that is above both dashed lines. We shade above because of the "greater than" sign. This is shown in the attached image I am providing below. The red shaded region represents all of the possible points that are the solution set. Once again, any point on the dashed line is not in the solution set.
D. You multiply all measurements together. The thickness has nothing to do with how much air will be inside. (: hope this helped ya :)
Answer:
A. 6
E. -4
Step-by-step explanation:
x² - 2x - 24 = 0
x - 6
x 4
(x - 6)(x + 4) = 0
Set each parenthesis equal to 0:
(x - 6) = 0
Isolate the variable, x. Add 6 to both sides;
x - 6 (+6) = 0 (+6)
x = 0 + 6
x = 6
(x + 4) = 0
Isolate the variable, x. Subtract 4 from both sides:
x + 4 (-4) = 0 (-4)
x = 0 - 4
x = -4
x = -4, 6 are your solutions, or A. & E.
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