Answer:
y = 
Step-by-step explanation:
From the given table,
Two points are (1, 15) and (7, 47)
If the two points
and
are lying on a line then slope 'm' of the line will be,
m = 
= 
= 
= 
Let the equation of a line passing through (h, k) is,
y - h = m(x - k)
If the line passes through (1, 15)
y - 1 = 
y = 
y = 
y = 
Answer:
B. 64.9
Step-by-step explanation:
A graphing calculator or spreadsheet can fit these points with an exponential curve. An appropriate answer for x=14 is about 73.3.
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<em>Comment on the answer choices</em>
The closest answer that makes any sense is 64.9. Often these problems are worked by someone who uses inappropriate rounding of intermediate results. I haven't found the magic set of numbers to get 64.9. About the lowest I can get is 66.7, using 0.0037·e^(0.7x).
Answer:
The answer is X=10
Step-by-step explanation:
3x10 = 30
30+6 = 36
36x10 =360 (10 represents how many sides the shape has)
All exterior angle add up to 360 degrees.
Answer: A cherry pie costs 9 and an apple pie cost 12
Step-by-step explanation:
Let an apple pie be represented by a
Let an cherry pie be represented by c
Jennifer sold 12 cherry pies and 3 apple pies for a total of 144. This can be written as:
12c + 3a= 144
Jacob sold 2 cherry pies and 9 apple pies for a total for 126. This can be written as:
2c + 9a = 126
12c + 3a= 144 ............. i
2c + 9a = 126 ........... ii
Multiply equation i by 2
Multiply equation ii by 12
24c + 6a = 288 ........ iii
24c + 108a = 1512 ...... iv
Subtract iv from iii
-102a = -1224
a = 1224/102
a = 12
An apple pie costs 12
From equation i
12c + 3a= 144
12c + (3×12) = 144
12c + 36 = 144
12c = 144 - 36
12c = 108
c = 108/12
c = 9
A cherry pie costs 9
Answer:
shown below
Step-by-step explanation:
1. The pair of angles shown in your diagram are vertical angles. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. The pairs of vertical angles have the exact same measurement. Therefore, 5x and 100 must have the same degree measurement, or 100 degrees. Thus, 5x must equal 100, so 5x = 100, and x would be 20 degrees.
2. The diagram shows a right angle (90 degrees) formed by 3x degrees and 39 degrees. 3x and 39 are complementary, which means they add up to 90, not 180 (that's supplementary). Thus, 3x + 39 = 90, 3x = 51, and x = 17 degrees.
3. The diagram shows a 180-degree angle formed by 6x degrees and 2x + 8 degrees. This means that 6x + (2x+8) equals 180. 6x + 2x + 8 = 180 and 8x + 8 = 180, 8x = 172, and x = 21.5 degrees.
4. A angle's supplement is basically 180 - (angle measure), because you are finding the angle that when formed with the original angle creates a 180 degree angle. Thus, the supplement angle would be 180 - 47 which is 133 degrees.
5. The angles 115 and (5x-10) create a 180 degree angle, which means that 115 + (5x-10) = 180. Thus, x = 15.