Prime factorization of 160 = 2 x 2 x 2 x 2 x 2 x 5
Answer:
a. 
b. 
Step-by-step explanation:
Solving (a):


Required
Determine her savings.



Solving (a):


Required
Determine the price before tax
First, we need to determine her savings



The price before tax is calculated as follows:


Answer: B
Begin by simplifying the given equation, so it's rearranged into standard form. Move all the terms onto one side, so they equal 0. This would result with
-3x-9=0. Quadratic formula is (-b±√(b²-4ac))/(2a). Standard form follow this variable format:
+bx+c. Use the numbers that correspond with each variable to substitute them into the quadratic formula. This would be
(-(-3)±√(-3²-4(4)(-9)/2(4).
Answer:
3(k - 1)² = 12
Step-by-step explanation:
To complete the square, write the equation standard form and make the a term's coefficient 1.
3k² = 11 + 6k
3k² - 6k - 11 = 0
3(k² - 2k) = 11
Take the middle term -2k and divide the coefficient in 2 and square it. Here it is -2/2 = -1. -1² = 1. Add 1 to both sides.
3(k² - 2k + 1) = 11 + 1
3(k - 1)² = 12