A. 3x + y = 13 → 15x + 5y = 65
x - 5y = 15 → x - 5y = 15
16x = 80
16 16
x = 5
x - 5y = 15
5 - 5y = 15
- 5 - 5
-5y = 10
-5 -5
y = -2
(x, y) = (5, -2)
b. 6x - y = 14
2x + y = 12
8x = 26
8 8
x = 3¹/₄
6x - y = 14
6(3¹/₄) - y = 14
19¹/₂ - y = 14
- 19¹/₂ - 19¹/₂
-y = -5¹/₂
-1 -1
y = 5¹/₂
(x, y) = (3¹/₄, 5¹/₂)
c. 3x - 4y = 22 → 15x - 20y = 110
2x + 5y = 7 → 8x + 20y = 28
23x = 138
23 23
x = 6
3x - 4y = 22
3(6) - 4y = 22
18 - 4y = 22
- 18 - 18
-4y = 4
-4 -4
y = -1
(x, y) = (6, -1)
Exponential because the data is not increasing at a constant rate
(A) The cost would be $6,600 because 100 guests would be $35 * 100 which is $3,500. Then, add that amount to the cost of the venue. $3,100 + $3,500 = $6,600.
(B) C = $3,100 + (n - 50) * 35
(C) 118 guests
Answer:
you add 8 2/5 and 6 1/2. the common denominator is 10, and when you add, you get 14 9/10. then you subtract
24 - 14 9/10 and you get 9 1/10
Answer with Explanation:
If a polygon has symmetry, then it has reflective portion over the line of symmetry.
Note that a rectangle doesn't have the diagonal lines of symmetry since its portion doesn't overlap another.
The simplest symmetry is Reflection Symmetry (sometimes called Line Symmetry or Mirror Symmetry). It is easy to see, because one half is the reflection of the other half.
I hope it will help you.
