Using this equation, f(3) = 23.
In order to find the value of f(3), we need to take the f(x) equation and put 3 everywhere we see x. Then we follow the order of operations to solve. So, let's start with the original.
f(x) = 2x^2 + 5sqrt(x - 2)
Now place 3 in for each x.
f(3) = 2(3)^2 + 5sqrt(3 - 2)
Now square the 3.
f(3) = 2(9) + 5 sqrt(3 - 2)
Do the subtraction inside of the parenthesis.
f(3) = 2(9) + 5sqrt(1)
Take the square root
f(3) = 2(9) + 5(1)
Multiply.
f(3) = 18 + 5
And add.
f(3) = 23
We have sequence equation 
.
In this case n is a natural number (1, 2, 3, ...).
So start inserting and computing value of 
given that you know the value of n and a.
(first term)
Hope this helps.
<span>Distance = d miles ; rate = 60 mph ; time = d/60 hrs
distance = d miles ; rate = 50 mph ; time = d/50 hrs
----------------------
Round-trip DATA:
distance = 2d miles ; rate = 55 mph ; time = (2d)/55 hrs
-----------------------------------------------------------
Equation:
Roundtrip time - other time = -1/2 hr
(2d)/55 - [(d/60)+(d/50)] = -1/2
(2d)/55 - [(110d)/(50*60)] = -1/2
---
600(2d) - 11[110d] = -16500
1200d - 1210d = -16500
-10d = -16500
distance = 1650 miles
Hope this helped :)</span>
First, we solve for the equation of the line using the two-point formula:
(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1)
The coordinates are:
(1,-1)
(3,0)
(y - (-1)) / (x - 1) = (0 - (-1)) / (3 - 1)
y = 0.5x - 1.5
Since the line is dotted, it's a strict inequality and since the portion below the line is shaded, we use the inequality, less than.
y < 0.5x - 1.5
In standard form:
x - 2y > 3
The answer is the first option.
Answer:
r = -2
s = 13
Step-by-step explanation:
Given quadratic equation is,
11x² - 44x - 99 = 0
Divide this equation by 11,
x² - 4x - 9 = 0
x² - 2(2)x - 9 = 0
x² -2(2)x + 2² - 2² - 9 = 0
[x² - 2(2)x + 2²] - 4- 9 = 0
(x - 2)² - 13 = 0
(x - 2)² = 13
[x + (-2)]² = 13
By comparing this equation with (x + r)² = s
Values of the constants r and s will be,
r = (-2) and s = 13
