Answer:
6x² - 2x - 6
Step-by-step explanation:
note (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 6x² - 4 - (2x + 2) ← distribute
= 6x² - 4 - 2x - 2 ← collect like terms
= 6x² - 2x - 6
The solution of inequality
is f < 132
<em><u>Solution:</u></em>
Given that we have to find the solution of inequality
These things do not affect the direction of the inequality:
Add (or subtract) a number from both sides.
Multiply (or divide) both sides by a positive number.
Simplify the sides
<em><u>Given inequality is:</u></em>
![\frac{f}{2} - 19 < 47](https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7B2%7D%20-%2019%20%3C%2047)
Add 19 to both sides of equation
![\frac{f}{2} - 19 +19 < 47 + 19\\\\\frac{f}{2} < 47 + 19\\\\\frac{f}{2} < 66](https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7B2%7D%20-%2019%20%2B19%20%3C%2047%20%2B%2019%5C%5C%5C%5C%5Cfrac%7Bf%7D%7B2%7D%20%3C%2047%20%2B%2019%5C%5C%5C%5C%5Cfrac%7Bf%7D%7B2%7D%20%3C%2066)
Multiply both the sides of inequality by 2
![\frac{f}{2} \times 2 < 66 \times 2\\\\f < 132](https://tex.z-dn.net/?f=%5Cfrac%7Bf%7D%7B2%7D%20%5Ctimes%202%20%3C%2066%20%5Ctimes%202%5C%5C%5C%5Cf%20%3C%20132)
Thus the solution to given inequality is f < 132
Answer:
$8.75 per scarf
Step-by-step explanation:
5 scarves costs $43.75 so to get the price of one scarf, we just need to divide by 5.
43.75 / 5 = 8.75
One scarf costs $8.75
Answer:
7/12. Decimal form: 0.58333
Tracy should deposit 1,369.86 to earn 3,000 in 5 years at 4% interest rate compounded 4 times a year
Given:
Compounded Interest = 3000
Term = 5 year
Frequency = 4 times a year
interest rate = 4%
Principal = unknown.
C.I = Principal × (1 + rate)^t
3000 = Principal × (1.04⁴)⁵
3000 = Principal × 1.17⁵
3000 = Principal x 2.19
3000/2.19 = Principal
<span>1,369.86 = Principal</span>