Answer:
67 mph
Step-by-step explanation:
A method you'd want to remember is r = d/t, or rate equals distance divided by time.
Since the Morris family drove 368.5 miles in 5.5 hours, you'd divide the distance by 5.5.
(368.5/5.5) = 67 miles per hour.
So their average rate is 67 miles per hour.
Hope this helps.
Answer:
7
Step-by-step explanation:
Answer:
y = 2/3x + 3 2/3
Step-by-step explanation:
slope intercept form: y = mx + b
isolate the y => y = 2/3(x - 2) + 5 => y = 2/3x - 4/3 + 5 => y = 2/3x + 3 2/3
Answer:
f^-1(x) = 4(x+5)/3
Step-by-step explanation:
Let f(x) = y
So, y = (3/4)x - 5
y + 5 = (3/4)x
4(y+5)/3 = x
The steps are first to make a variable that holds the same value as the function, then from there you simplify and eventually make x the subject of the equation.
Remember: xᵃ. xᵇ = xᵃ⁺ᵇ
and (xᵃ)ᵇ = xᵃᵇ
For easy understanding, let's solve each parenthesis separately, starting with the numerator: (you start eliminating the external parenthesis
:((a³ • b⁵)⁸)¹/² • (a² • c³)⁵ • (c⁵ • b) ⁻² • a³
((a³ • b⁵)⁸)¹/² = (a³ • b⁵)⁴ = a¹² • b²⁰ (1)
(a² • c³)⁵ = a¹⁰ • c¹⁵ (2)
(c⁵ • b) ⁻² • a³ = c⁻¹⁰ • b⁻² • a³ (3)
Now (1).(2).(3) = (a¹² • b²⁰) . (a¹⁰ • c¹⁵).( c⁻¹⁰ • b⁻² • a³)=
a¹²⁺¹⁰⁺³.b²⁰⁻².c¹⁵⁻¹⁰ = a²⁵.b¹⁸.c₅ (4) . ((4) is the numerator simplified)
Let's proceed the same way with the denominator:
(a³ • c⁻¹)⁻⁵ • (b²)⁻⁷• ((b⁴ • a⁵)²⁴) ¹/³
(a³ • c⁻¹)⁻⁵ = a⁻¹⁵.c⁵ (5)
(b²)⁻⁷ = b⁻¹⁴ (6)
((b⁴ • a⁵)²⁴) ¹/³ = (b⁴ • a⁵)⁸ = b³².a⁴⁰ (7)
Now (5).(6).(7) = (a⁻¹⁵.c⁵).(b⁻¹⁴).(b³².a⁴⁰) =
a⁻¹⁵⁺⁴⁰.b⁻¹⁴⁺³².c⁵ =
a²⁵.c¹⁸.c⁵ (8) ((8) is the denominator simplified)
At last (4)/(8) = a²⁵.b¹⁸.c⁵ / a²⁵.c¹⁸.c⁵ =1 Since numerator = denominator
