9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The equation can be rewritten to ...
8x = 13n +4 . . . . for some integers x and n
x = (13n +4)/8
For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.
x = (13·4 +4)/8 = 56/8
x = 7
__
The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.
Answer:
x = - 4, x = 1
Step-by-step explanation:
At the point of intersection
f(x) = g(x) , that is
(x + 3)² = 3x + 13 ← expand left side using FOIL
x² + 6x + 9 = 3x + 13 ( subtract 3x + 13 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
What the qoutient sweetheart
Answer:
45a + 32c
Step-by-step explanation:
a tickets at $45 per ticket cost 45a
c tickets at $32 per ticket cost 32c
The total cost is
45a + 32c
208- ( 2* 46)= X
208- 92=2x
x=58
The length is 58cm.
Check by:
58*2 +46*2
116+92= 208
