Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
_____
<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Answer:
Step-by-step explanation:
The fraction 26/5 can be simplified to 5 and 1/5, which is between the numbers 5 and 6.
Hope it helps :) and let me know if you want me to elaborate.
Answer:
D
Step-by-step explanation:
for example point (2,0) is one of the solutions.
=> x + 2y <4
2+ 2(0) = 2 => 2< 4 (true)
=> 3x – y > 2
3(2)-0= 6 => 6>2 (true)
so, the option D is the correct one
6 is neither equal to 0 nor equal to 7, so the last "piece" of h(x) applies. Then
h(6) = 3•6 - 2 = 18 - 2 = 16
