square root of 2.8 because its approximate form is 1.6733201 while square root of 2 is 1.4142136
Answer:
Step-by-step explanation:
3300P + 5700S > = 94500 (thats greater then or equal to)
this one is based on the fuel
75P + 130S > = 2400 (thats greater then or equal to)
this one is based on the minutes
Area of ABC : AB*AC/2
the maximum of the parabola is reached at x=-4/(2*(-1))=2 hence A is at (2,0) and B is at (2,(-2)^2+4*2+C)=(2,12+C)
C is the second root (x-intersect), which we can find :
determinant1 : D=16-4*(-1)*C=4(4+C) thus the second root is at x=

Hence the area of the triangle is

hence

.
We remark that

Hence 4+C=16 thus
C=12
Answer:
(4, 7 )
Step-by-step explanation:
y = 3x - 5 → (1)
y =
x + 5 ( multiply through by 2 to clear the fraction )
2y = x + 10 → (2)
Substitute y = 3x - 5 into (2)
2(3x - 5) = x + 10 ← distribute parenthesis on left side
6x - 10 = x + 10 ( subtract x from both sides )
5x - 10 = 10 ( add 10 to both sides )
5x = 20 ( divide both sides by 5 )
x = 4
Substitute x = 4 into (1) and evaluate for y
y = 3(4) - 5 = 12 - 5 = 7
solution is (4, 7 )
The best way to do this is to set up a proportion
30 20
---- = -----
0.5 x
then cross multiply and divide
20 × 0.5 = 10/30=1/3
he needs 1/3 tank of gas to drive 20 miles
I hope I've helped!