G = F(4x+5)/ 3x-2
C = (4x+5) (3x-2)/ 24C
F = 3x-2/C
Answer:
The current of the water is 1.714 mph.
Step-by-step explanation:
Let the boat in t hours can travel 18 miles upstream, and 24 miles downstream.
Therefore, if the speed of the boat in still water is 12 mph and that of water is x mph , then we can write
........ (1) and
............ (2)
Now, adding those two equations (1) and (2) we get,
⇒ t = 1.75 hours.
Now, from equation (1) we get
⇒ x = 1.714 mph
Therefore, the current of the water is 1.714 mph. (Answer)
Answer:
Vertex angle = 124°
Step-by-step explanation:
m<BAC = m<BCA (base angles of isosceles ∆ are congruent)
7x + 1 = 5x + 9
Collect like terms
7x - 5x = -1 + 9
2x = 8
divide both sides by 2
x = 4
Vertex angle = 180 - ((7x + 1) + (5x + 9)) (sum of triangle)
Plug in the value of x
Vertex angle = 180 - ((7*4 + 1) + (5*4 + 9))
Vertex angle = 180 - (29 + 29)
Vertex angle = 124°
Answer:
Step-by-step explanation:
-6.6(3x+6)-1.7(2x-5)
open the bracket
-19.8x - 39.6 - 3.3x + 8.5
combine the like terms
-19.8x - 3.3x -39.8 + 8.5
-23.1x - 31.3
Answer:
0
Step-by-step explanation:
For a quadratic of the form
ax² +bx +c = 0
The "discriminant" is the expression ...
b² -4ac
For this equation, we have a=1, b=5, c=7, so the discriminant is ...
5² -4·1·7 = -3
When the discriminant is negative there will be two distinct complex roots to the equation, and no real roots.
_____
When the discriminant is zero, there will be one real root with multiplicity 2; when it is positive, there will be two distinct real roots.
