Answer:
f(2)<u> < </u>g(3)
The correct option is;
1. <
Step-by-step explanation:
The given function parameters are;
f(x) = 3·x - 1, g(x) = 2·x² - 3
For f(x) = 3·x - 1, when x = 2, we have;
f(2) = 3·x - 1 = 3 × 2 - 1 = 5
For g(x) = 2·x² - 3, when x = 3, we have;
g(3) = 2 × 3² - 3 = 18 - 3 = 15
Therefore, we have;
f(2) = 5 < g(3) = 15
Which gives;
f(2) < g(3)
Unknown factor is known as the factor that is not understood and not know(you have no idea what the value is)
quotient is the answer of two different numbers called dividend and divisor being divided with each other
Answer:
The answers of the questions are given below :
- a) = 4096
- b) = 1.25
- 3) = m²
- 4) = r⁴s³
- 5) = a⁸/b¹²
Step-by-step explanation:
Question. 1
>> 4⁶
- Hence, the answer is 4096.
Question. 2
>> (2⁶/5³)^-⅓
![\begin{gathered} \qquad\implies{\bigg(\frac{2^6}{5^3}\bigg)^{ - \frac{1}{3}}}\\ \\ \qquad\implies{\bigg(\frac{64}{125}\bigg)^{ - \frac{1}{3}}}\\ \\\qquad\implies{\bigg( \frac{1}{\frac{64}{125}}\bigg)^{ \frac{1}{3}}} \\ \\ \qquad\implies{\bigg( 1 \times \frac{125}{64} \bigg)^{ \frac{1}{3}}} \\ \\ \qquad\implies{\bigg( \frac{125}{64} \bigg)^{ \frac{1}{3}}} \\ \\\qquad\implies{\bigg( \sqrt[3]{ \frac{125}{64}}\bigg)} \\ \\ \qquad\implies{\bigg( \dfrac{5}{4} \bigg)} \\ \\ \qquad\implies{\Big( 1.25\Big)}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cqquad%5Cimplies%7B%5Cbigg%28%5Cfrac%7B2%5E6%7D%7B5%5E3%7D%5Cbigg%29%5E%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%5Cfrac%7B64%7D%7B125%7D%5Cbigg%29%5E%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%20%20%5C%5C%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cfrac%7B1%7D%7B%5Cfrac%7B64%7D%7B125%7D%7D%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%201%20%5Ctimes%20%20%5Cfrac%7B125%7D%7B64%7D%20%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cfrac%7B125%7D%7B64%7D%20%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B125%7D%7B64%7D%7D%5Cbigg%29%7D%20%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cdfrac%7B5%7D%7B4%7D%20%5Cbigg%29%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5CBig%28%201.25%5CBig%29%7D%5Cend%7Bgathered%7D)
- Hence, the answer is 1.25.
Question. 3
>> (m^2/3)•(m^4/3)
Question. 4
>> (r¹² s⁹)^⅓
- Hence, the answer is r⁴s³.
Question. 5
>> (a⁴/b⁶)^2
- Hence, the answer is a⁸/b¹².
Sec(theta) = 1 / cos(theta) = 5 / 3 solve for cos(theta)
