They ran 1 and 5/6 miles. This is just under 2 miles, so no, they did not run 2 miles.
Answer:
Option A. the solution a = -4 is an extraneous solution.
Step-by-step explanation:
Lets solve the radical equation to get the potential solutions.
√(a + 5) = (a + 3)
By squaring terms on both the sides
[√(a + 5)]² = (a +3)²
(a + 5) = (a + 3)²
(a + 5) = a² + 6a + 9
0 = a² + 6a + 9 - a - 5
a² + 5a + 4 = 0
a² + 4a + a + 4 + 0
a(a + 4) + 1(a + 4) = 0
(a + 1)(a + 4) = 0
a = -1 or a = -4
Now if we put the value of a = - 4 in the radical equation then we get
√(-4 + 5) = (-4 + 3)
√1 = -1
1 = -1 ( Therefore a = -4 is not the solution)
Now by putting a = -1
√(-1 +5) = -1 + 3
√4 = 2
2 = 2 which shows the equal relation.
Therefore a = -4 is an extraneous solution.
Option A. is the correct option.
Answer:
x = e^2 = 7.39
Step-by-step explanation:
We have been given the logarithmic equation;
6+In x=8
The first step is to subtract 6 on both sides of the equation;
6 + ln x - 6 = 8 - 6
ln x = 2
We then introduce the exponential function, since the exponential function and the natural log function are inverses of each other;
Answer:
x=8 (one solution)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7(x−5)=x+13
(7)(x)+(7)(−5)=x+13(Distribute)
7x+−35=x+13
7x−35=x+13
Step 2: Subtract x from both sides.
7x−35−x=x+13−x
6x−35=13
Step 3: Add 35 to both sides.
6x−35+35=13+35
6x=48
Step 4: Divide both sides by 6.
x=8
Answer: b
Step-by-step explanation:
12,060 divided by 48 equals 251.25