Solution
f(x) = -20
+14x + 12 and g(x) = 5x - 6.
(f/g)(x) = 
(f/g)(x) = 
<u>Step 1: </u>Now we have to factorize the numerator.
f(x) = -20x^2 + 14x + 12
Factor out -2, we get
= -2 (10x^2 - 7x - 6)
Now we can factorize 10x^2 - 7x - 6
f(x) = -2(2x + 1) (5x - 6)
<u>Step 2: </u>Plug in the factors
(f/g)(x) = 
<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get
(f/g)(x) = -2(2x +1) = -4x -2
Since -4x -2 is linear expression, the domain is all the real numbers.
Therefore, the answer is –4x – 2; all real numbers
Thank you :)
the distance between points is:
d = 7.8 units
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
The ordered pairs are:
(x1, y1) = (- 3, -2)
(x2, y2) = (2,4)
By applying the formula we have:
d = root ((2 - (- 3)) ^ 2 + (4 - (- 2)) ^ 2)
d = root (61)
d = 7.8
Answer:
FV= $3,725.07
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,294
Number of periods (n)= 5 years
Interest rate (i)= 2.6% = 0.026
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 3,294*(1.026^5)
FV= $3,725.07
Answer:
-3x^{4} + 19x^{3} - 38x^{2} + 25x - 3
Step-by-step explanation:
1) distribute x² into (-3x² + 7x - 1) to get: -3x^{4} + 7x³ - x²
2) distribute -4x into (-3x² + 7x - 1) to get: 12x³ - 28x + 4x
3) distribute 3 into (-3x² + 7x - 1) to get: -9x² + 21x - 3
4) combine all the answers together into one equation:
-3x^{4} + 7x³ - x² + 12x³ - 28x² + 4x - 9x² + 21x - 3
5) combine like terms:
7x³ + 12x³ = 19x³
-x² + -28x² + -9x² = -38x²
4x + 21x = 25x
6) combine answers together into one equation:
-3x^{4} + 19x³ - 38x² + 25x - 3
