The question is incomplete:
Find the number of boxes needed, x, for 42 granola bars.
The table with the information is attached.
Answer:
The number of boxes needed for 42 granola bars is 7.
Step-by-step explanation:
Since the table shows that for 12 granola bars 2 boxes are needed, you can use a rule of three with this information to find the number of boxes needed for 42 granola bars:
12 granola bars → 2 boxes
42 granola bars → x
x=(42*2)/12
x=84/12
x=7
According to this, the answer is that the number of boxes needed for 42 granola bars is 7.
Answer:
f(x) = 
Step-by-step explanation:
First we identify the Vertical Asymptote. Which is at x = 2
The function has a VA only at the point where the denominator gives 0, so because we know x = 2 is the VA, the denominator will be x - 2.
Then we identify the Horizontal Asymptote, which is the behavior of the function for very large 'x', or the horizontal line of the graph on the y - axis. Which is at y = 1. So our function will go to 1, as x grows incredibly large.
But since our denominator is x - 2, the top remains 1, but we should add a 1 to the function so it really has a HA at y = 1.
f(x) =
Answer:
(a) scalene, see attachment
(b) acute, see attachment
(c) correct; isosceles
Step-by-step explanation:
(a) The sides of the triangle all have different lengths, so the triangle is scalene. Differences in coordinates between the points of the triangle are (6, 2), (5, 2), and (4, 1), so no two distances between these points can be the same.
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(b) The angle opposite the longest side is clearly an acute angle, so the triangle is an acute triangle.
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(c) Miles and Brad live on the same north/south line. Jose lives at a distance that is halfway between those houses in the north-south direction. Hence the distance to Miles' and Brad's houses must be the same from Jose's house. That means the triangle connecting Miles', Brad's, and Jose's houses will be an isosceles triangle.
Answer:
100 yards of fabric
Step-by-step explanation:
12 divided by 3 = 4 yards of fabric per costume
4 x 25 = 100 yards of fabric
x² - x - 12 ≠ 0
x² - 4x + 3x - 12 ≠ 0
x (x - 4) + 3 (x - 4) ≠ 0
(x + 3)(x - 4) ≠ 0
x ≠ -3 or x ≠ 4
(B)
