Rewrite the equation using the properties of logarithms:
e^ln(x+3) = e^7
Exponentiation and ln are inverse functions so the equation simplifies to:
x + 3 = e^7
Subtract 3 from both sides:
x = e^7 -3
Raise e to the power of 7 and subtract 3 from that:
x = 1093.633 ( Rounded to the nearest hundredth).
17. First expand the left side:-
(2x + 1)(ax + b)
= 2ax^2 + ax + 2bx + b
= 2a x^2 + x(a + 2b) + b = 6x^2 - 5x + c.
Comparing coefficients:-
2a = 6 so a = 3
a + 2b = -5
3 + 2b = -5
2b = -5 - 3 = -8
b = -4
Also b = c, so c = - 4
Answer: a = 3, b = -4 and c = -4
Arrange the numbers in ascending order:
8 , 9 , 9 , 9, 10 , 10 , 10 ,10
Median = 10
Answer: 10
Answer:
Step-by-step explanation:
<span>The younger brother owes Bill $12.75, and the older brother does not owe him any money. </span>