I will try my best are there answers
Answer:
x=2
Step-by-step explanation:
3 ln(x) + 2 ln (4)= ln(128)
a ln (b) = ln b^a
In(x^3) + In (4^2)= In(128)
In(x^3) + In (16)= In(128)
ln a + ln b = ln (ab)
In(16x^3) = In(128)
raise each side to the power of e
e^ In(16x^3) = e ^In(128)
e^ ln cancels out
(16x^3) = (128)
divide by 16
(16x^3)/16 = (128)/16
x^3 = 8
take the cube root on each side
(x^3)^1/3 = 8^ 1/3
x =2
Answer:
a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95
b. The second and third car seats are appropriate for a 35 lb child.
Step-by-step explanation:
a. Model those ranges with compound inequalities
Let x represent the car seat.
i. A car seat designed for a child weighing up to and including 25 lb is described by the inequality.
x ≤ 25
ii. A car seat designed for a child weighing between 16 lb and 35 lb is described by the inequality.
16 < x < 35
iii. A car seat designed for a child weighing between 25 lb and 95 lb inclusive is described by the inequality.
25 < x ≤ 95
b. Which car seats are appropriate for a 33-lb child?
Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.
Answer:
Perpendicular lines have slope that are negative reciprocals.
The slope of the perpendicular line is M = -1/3.
Step-by-step explanation:
(4,-1) --> X = 4, Y = -1, M = -1/3
y = Mx + b
-1 = (-1/3)*4 + b
-1 = (-4/3) + b
-3/3 = (-4/3) + b
-3 = -4 + 3b
1 = 3b
b = 1/3
y = (-1/3)X + 1/3
