Answer:
B.
Step-by-step explanation:
I graphed it but you could also use the y intercept to determine which function matches the graph
log(x+1)<u>+3</u>
the +3 at the end of the function makes the y-intercept positive 3
Let's let x equal the original price of the dress.
We know that 16.6666% is equal to 0.16666 in decimal form by dividing the percent by 100.
So we can set up the equation:

because we know the discount, and we know that the discount of the original price was subtracted from the original price.
So then let's simplify by taking out x, the common factor:

Then solve for x:



So now we know that the original price of the dress was $39.
Answer:
At 7% $54,000
At 9% $156,000
Step-by-step explanation:
Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%
We know that:
7% = 0.07 & 9% = 0.09
So we can write the interest equation as follows:
0.07x + 0.09 (2x + 48000) = 17820
0.07x + 0.18x + 4320 = 17820
0.25x + 4320 = 17820
Subtracting 4320 from both sides of the equation we get:
0.25x = 17820 - 4320
0.25x = 13500
Dividing both sides of the equation by 0.25 we get:
x = 13500 / 0.25
x = $54,000 invested at 7%
&
2 x 54000 + 48000
= $156,000 invested at 9%
Hence the amount invested at 7% is $54,000.
& the amount invested at 9% is $156,000.
So to find the discriminant of a quadratic equation, the formula is b² - 4ac with a = x² coefficient, b = x coefficient, and c = constant. In this case, our equation is 
Firstly, solve the multiplications and the exponents: 
Next, subtract and we find that our discriminant is 0.
*Additional Info: Since the discriminant is zero, this means that this quadratic equation has 1 real solution.