Answer:
y = 2x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2. thus
y = 2x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = - 6 + c ⇒ c = 4 + 6 = 10
y = 2x + 10 ← equation of line
Answer:
2
Step-by-step explanation:
13-5x =3
-13 -13
-5x = -10
-5 -5
x=2
Answer:
<em>Addition Property of Equality</em>
Step-by-step explanation:
<u>System of Equations</u>
When two equations are given and two variables are unknown in both equations, then we can solve the system in several ways.
One method consists in adding both equations term by term and eliminate one of the variables. That property is called the addition of equalities. Let's consider the equations given in the problem:

If we add both equations, we have

Simplifying

By adding both equations we managed to eliminate the variable y and could easily find the value of x

Answer: Addition Property of Equality
Answer:


Step-by-step explanation:
<u>Taylor series</u> expansions of f(x) at the point x = a

This expansion is valid only if
exists and is finite for all
, and for values of x for which the infinite series converges.






Substituting the values in the series expansion gives:

Factoring out e⁴:
![e^{4x}=e^4\left[1+4(x-1)+8}(x-1)^2+...\right]](https://tex.z-dn.net/?f=e%5E%7B4x%7D%3De%5E4%5Cleft%5B1%2B4%28x-1%29%2B8%7D%28x-1%29%5E2%2B...%5Cright%5D)
<u>Taylor Series summation notation</u>:

Therefore:

Answer:
Approximately $584.43
Step-by-step explanation:
Your formula is A=Pe^rt
A is what you're looking for, the amount
P is the principal aka what you put into the account: $150
e is the mathematical constant. You'd plug that into your calculator.
r is the rate, you'd put it into the equation as a decimal: 8%=.08
t is the time in years: 17
A=150e^.08x17 <em>you can plug this into your calculator</em>
A=$584.43