Answer:
y=(4-1-2-5)
Step-by-step explanation:
Line equation
y=0.6666666666666666x−3.666666666666667
Slope
0.67
Intercept
-3.67
Equation for x
x=−6t+4
Equation for y
y=−4t−1
Direction vector
-6
-4
Answer: 13
Step-by-step explanation: Pythagorean theorem,
a²+b²=c²
5²+12²=c²
25+144=c²
Square root of 169 is 13
Hope this helps you!!!
Answer:
The answer is 8/9x + 2484/7
Answer:
$4.53
Step-by-step explanation:
Let us represent
The cost of a
Packet of tea = x
Packet of coffee = y
Five packets of tea and seven of coffee cost $39.40
5x + 7y = 39.40.....Equation 1
Three packets of tea and five of coffee cost $26.20.
3x + 5y = 26.20.......Equation 2
Combining both Equations
5x + 7y = 39.40.....Equation 1
3x + 5y = 26.20.......Equation 2
Multiply Equation 1 by 5 and Equation 2 by 7 to eliminate y
25x + 35y = 197.... Equation 3
21x + 35y = 183.4......Equation 4
Subtract Equation 4 from 3
3x = 13.6
x = 13.6/3
x = $4.53
Therefore, the cost of a packet of tea is $4.53
Take the deritivive
remember
the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/(g(x)^2)
so
deritiveive is ln(x)/x is
remember that derivitive of lnx is 1/x
so
(1/x*x-1lnx)/(x^2)=(1-ln(x))/(x^2)
the max occurs where the value is 0
(1-ln(x))/(x^2)=0
times x^2 both sides
1-lnx=0
add lnx both sides
1=lnx
e^1=x
e=x
see if dats a max or min
at e/2, the slope is positive
at 3e/2, the slope is negative
changes from positive to negative at x=e
that means it's a max
max at x=e
I realize I didn't find the max point, so
sub back
ln(x)/x
ln(e)/e
1/e
the value of the max would be 1/e occuring where x=e
4th option is answer (1/e) because that is the value of the maximum (which happens at x=e)
