ANSWER
x = 1.2226
EXPLANATION
To solve this equation we have to apply the property of the logarithm of the base,

Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,

Now we apply the property of the logarithm of a power,

In our equation,

Then divide both sides by 4 and solve,

The solution to this equation is x = 1.2226, rounded to four decimal places.
I'm taking the liberty of editing your function as follows: <span>w=4r^2+6s^2, where I use " ^ " to indicate exponentiation.
The partial of w with respect to r is 8r. That with respect to s is 12s.</span>
Answer:
$18.75
Step-by-step explanation:
Let
y = Total cost
x = number of kilometers
The equation:
y = 3.75 + 1.50x
If x = 10 km
y = 3.75 + 1.50(10)
= 3.75 + 15
= 18.75
y = $18.75
y = Total cost = $18.75
Answer:
x = 1 or x = -3/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + x - 3 = 0
The left hand side factors into a product with two terms:
(x - 1) (2 x + 3) = 0
Split into two equations:
x - 1 = 0 or 2 x + 3 = 0
Add 1 to both sides:
x = 1 or 2 x + 3 = 0
Subtract 3 from both sides:
x = 1 or 2 x = -3
Divide both sides by 2:
Answer: x = 1 or x = -3/2
C. The lower quartile (of a box-and-whisker plot) is the median of the lower half of the data.
Also referred to as "Q1"