Answer:
x=3
Step-by-step explanation:
0 = x -3
-x = -3
change the sign to positive so x= 3
Answer:
P is the principal amount, $200.00.
r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.
t is the time involved, 15....year(s) time periods.
So, t is 15....year time periods.
To find the simple interest, we multiply 200 × 0.02 × 15 to get that:
The interest is: $60.00
Answer:
b x =-2/3
Step-by-step explanation:
-3(2x+1) + 3x = 6x + 3
Distribute
-6x -3 +3x =6x+3
Combine like terms
-3x-3 = 6x+3
Add 3x to each side
-3x+3x-3 = 6x+3x+3
-3 = 9x+3
Subtract 3 from each side
-3-3 = 9x+3-3
-6 = 9x
Divide by 9
-6/9 = 9x/9
-2/3 =x
Answer: f(x) = 2x - 3
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We're given f(-1) = -5 and f(5) = 7
This means we know the two points (-1,-5) and (5,7) are on the line.
Find the slope
m = (y2-y1)/(x2-x1)
m = (7-(-5))/(5-(-1))
m = (7+5)/(5+1)
m = 12/6
m = 2
The slope is 2.
Use this along with (x1,y1) to find the equation. We'll use point slope form
y - y1 = m(x - x1)
y - (-5) = 2(x - (-1))
y + 5 = 2(x + 1)
y = 2x + 2 - 5
y = 2x - 3
f(x) = 2x - 3
To solve this, we just need to plug in x - 2 in place of x.
g(x - 2) = (x - 2)^2 + 3
We can simplify
g(x - 2) = x^2 - 4x + 4 + 3
g(x - 2) = x^2 - 4x + 7
