Answer:
12 mph
Step-by-step explanation:
First 30 miles while cycling at 15 mph. This means he spent 2 hours here.
Thus the 4 hours on the last 48 miles.
Average speed = distance / time
Average speed = 48 miles / 4 hours
Average speed = 12 mph
Therefore Regan's average speed is 12 mph for the last 48 miles.
Answer:
See below
Step-by-step explanation:
To solve a proportion ( an equation with two equal fractions), cross multiply by multiplying numerator and denominator of each fraction.
8/5=24/h 8h = 5*24 8h = 120 h=15
h/8=24/5 5h = 8*24 5h = 120 h= 24
h/5=24/8 8h =5*24 8h = 120 h=15
8/5=h/24 5h = 8*24 5h = 120 h=24
8/24=5/h 8h = 24*5 8h = 120 h = 15
5/8=h/24 8h = 5*24 8h =120 h = 15
h/5=8/24 24h =5*8 24h = 40 h = 5/3
D. go study it I dont know it
1.
g(x) = 3 - x^2
g(-2) = 3 - (-2)^2 = 3 - 4 = -1
f(x) = 5x + 4
g(g(-2)) = f(-1) = 5(-1) + 4 = -1
2.
f(x) = 5x + 4
f(-2) = 5(-2) + 4 = -10 + 4 = -6
g(x) = 3 - x^2
g(f(-2)) = g(-6) = 3 - (-6)^2 = 3 - 36 = -33
How to solve your problem
x^{2}-21=100
Quadratic formula
Factor
1
Move terms to the left side
x^{2}-21=100
x^{2}-21-100=0
2
Subtract the numbers
x^{2}\textcolor{#C58AF9}{-21}\textcolor{#C58AF9}{-100}=0
x^{2}\textcolor{#C58AF9}{-121}=0
3
Use the quadratic formula
x=\frac{-\textcolor{#F28B82}{b}\pm \sqrt{\textcolor{#F28B82}{b}^{2}-4\textcolor{#C58AF9}{a}\textcolor{#8AB4F8}{c}}}{2\textcolor{#C58AF9}{a}}
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
x^{2}-121=0
a=\textcolor{#C58AF9}{1}
b=\textcolor{#F28B82}{0}
c=\textcolor{#8AB4F8}{-121}
x=\frac{-\textcolor{#F28B82}{0}\pm \sqrt{\textcolor{#F28B82}{0}^{2}-4\cdot \textcolor{#C58AF9}{1}(\textcolor{#8AB4F8}{-121})}}{2\cdot \textcolor{#C58AF9}{1}}
4
Simplify
Evaluate the exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Add zero
Multiply the numbers
x=\frac{\pm 22}{2}
5
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x=\frac{22}{2}
x=\frac{-22}{2}
6
Solve
Rearrange and isolate the variable to find each solution
x=11
x=-11
