You could also say.
13 x
--- = ---
1 7
Multiply across.
1x=13×7
1x =91
Divide both sides by one.
x=91.
91 cups of yoygurt are needed to make 7 Smoothies.
Or you could do it the easy way.
whatever makes you happy. :)
This question is difficult to give a definite answer to because it's an approximation, but I estimate the solutions to be around x = 2.6 and x = -2.6.
When they ask for solutions of the graphed function they are asking for an approximation of where the graph intercepts the x-axis, and we can see it kind of intercepts in the middle of 2 and 3, except slightly closer to 3, which is why I estimated 2.6.
The graph also appears to be symmetrical, which means the solutions will be the same except one would be negative and one would be positive, which means the second solution would be -2.6.
I hope this helps! Let me know if you have any questions :)
Answer:
-2n - 12
Step-by-step explanation:
Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.
-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12
-2n - 12 is your answer
~
Answer:
x = 2.
Step-by-step explanation:
Solve for x:
0.3 (4 - x) = x - 1.4
Expand out terms of the left hand side:
1.2 - 0.3 x = x - 1.4
Subtract x from both sides:
1.2 + (-0.3 x - x) = (x - x) - 1.4
-0.3 x - x = -1.3 x:
-1.3 x + 1.2 = (x - x) - 1.4
x - x = 0:
1.2 - 1.3 x = -1.4
Subtract 1.2` from both sides:
(1.2 - 1.2) - 1.3 x = -1.2 - 1.4
1.2 - 1.2 = 0:
-1.3 x = -1.2 - 1.4
-1.2 - 1.4 = -2.6:
-1.3 x = -2.6
Divide both sides of -1.3 x = -2.6 by -1.3:
(-1.3 x)/(-1.3) = (-2.6)/(-1.3)
(-1.3)/(-1.3) = 1:
x = (-2.6)/(-1.3)
(-2.6)/(-1.3) = 2.:
Answer: x = 2.
Answers:
Horizontal Line: y = 5
Vertical Line: x = 8
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Explanation:
All horizontal lines are of the form y = k, for some constant k. We want the horizontal line to pass through (8,5), meaning every point on this horizontal line must have y coordinate 5. Therefore, y = 5 is the equation of the horizontal line. Two such points on this line are (1, 5) and (8, 5). All that matters is the y coordinate is 5. The x coordinate can be anything you want. The slope of any horizontal line is 0.
Flipping things around, all vertical lines will have the x coordinate of each point be the same value. Draw a vertical line through (8,5) and note how each point has x coordinate of 8. Two such points are (8,1) and (8,5). Therefore, the equation of the vertical line is x = 8. The y coordinate can be any value you want. The slope of any vertical line is undefined. Unlike the horizontal line, we cannot write this equation in slope intercept form (namely because the slope isn't defined).
