3/2 and -5/4
is the answers you are looking for if the question is not saying 11/2 and -11/4
E^2x - 5e^x = 24
(e^x)^2 - 5e^x =24
let e^x = u
u^2 - 5u = 24
u^2 -5u - 24 =0
(u - 8)(u+3)=0
u = 8 or u = -3
since e^x = u then u can't equal -3
e^x = 8
by taking ln for both sides
ln(e^x) = ln(8)
xln(e) = ln(8) .......................ln(e) = 1
x = ln(8) = 3ln(2)
Answer:
Runner 1
Step-by-step explanation:
Runner 1's speed is the slope of the line = (20-0)/(2-0) = 10
Runner 2's speed is the slope of the line = 8.5 (the coefficient of t)
Runner 3's speed is slope = (36-18)/(4-2) = 9
The fastest pace, therefore is of runner 1, because 10>9 AND 10>8.5
Answer:
no
Step-by-step explanation:
for a triangle to be a right triangle, the sum of the square of its legs must equal the square of its hypotenuse
a² + b² = c²
in this problem, 4² + 10² ≠ 11²
16 + 100 ≠ 121
Answer:
D
Step-by-step explanation:
3/5 + 1/5 is 4/5
4/5 x 4/3 is 16/15
16/15 = 1 1/15