Answer:
Option (2)
Step-by-step explanation:
Given expression is, AX + B = C
AX + B = C
AX = C - B
C - B = =
C - B =
Let
AX =
=
Since AX = C - B
Therefore, a = 1, b = 5
(-3a - 4c) = -35
3(1) + 4c = 35
3 + 4c = 35
4c = 32
c = 8
And (-3b - 4d) = -11
3(5) + 4d = 11
4d = -4
d = -1
Therefore, Option (2). X = will be the answer.
This can be solve using the formula:
F = P ( 1 + i)^n
where F is the money after n years
P is the initial amount of money
i is the annual interest rate
n is the time in years
since you deposit in 3 accounts P = 2200/3
F = ( 2200 / 3) ( 1 + 0.03)^6
F = $ 875.64 is the money each account earned after 6 years
We will see that the exponential decay function is:
f(x) = 175*(0.8)^x
<h3>
How to find the exponential decay?</h3>
The general exponential decay is:
f(x) = A*(1- r)^x
Where:
- A is the initial value.
- r is the rate of decay in decimal form.
- x is the variable, in this case is the time.
Here we know that the initial value is 175, and the rate of decay is 20%. To get this in decimal form, we just divide it by 100%.
20%/100% = 0.2
Replacing that in the exponential function, we get:
f(x) = 175*(1 - 0.2)^x
f(x) = 175*(0.8)^x
If you want to learn more about exponential functions, you can read:
brainly.com/question/11464095
You have to find the LCD or least common denominator.
In this case the LCD would be (x-6)(x+5).
Problem: x/ x-6 - 1/x+5
Step 1: multiply x-6 to the numerator and denominator of 1/x+5
1(x-6)/ (x+5)(x-6)
Step 2: multiply x+5 to the numerator and denominator of x/x-6
x(x+5)/ (x+5)(x-6)
After all that, this is how the problem should look now
x(x+5)/ (x-6)(x+5) - 1(x-6)/ (x-6)(x+5)
If you simplify this you get
x²+5x-x+6/ (x-6)(x+5)
If you subtract both 5x-x (like terms) you get
x²+4x+6/ (x-6)(x+5)
which is the answer