There are no algebraic methods for finding solutions to a general mix of exponential and polynomial terms. A graphing calculator can be helpful.
This equation has 3 real solutions, approximately ...
x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}
_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.
Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.
Answer:
Linear
Step-by-step explanation:
Add 2
x and x
.
y
=
3
x
+
9 A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1
.
Answer:
50.05 cm^2
Step-by-step explanation:
Ok so first lets find the area of the rectangle before finding the attached triangle. You have to imagine a line separating this shape into a triangle and rectangle.
The rectangle's size is 6.5x5.5=35.75 cm^2
The rectangle's size is 11.7-6.5 to get the base length, which is 5.2
The height is 5.5
So it's 5.2*5.5/2=14.3 cm^2
14.3+35.75=50.05 cm^2
Answer:
The investment firm's total profit is $4,000
Step-by-step explanation:
The Profit from Company A = 11% * $8,000
= 11 * $8,000/100
= $880
The Profit from Company B = 13% * $24,000
= 13 * $24,000/100
= $3,120
The total profit = $880 + $3120
= $4,000
Thus, the investment firm's total profit is $4,000
That's kind of blurry but....by the Pythagorean Theorem
(3+r)^2=9^2+r^2
r^2+6r+9=81+r^2
6r+9=81
6r=72
r=12