Answer:
LCM of 9 and 15 is 45.
Step-by-step explanation:
What is the LCM of 9 and 15?
Find the prime factorization of 9.
Find the prime factorization of 15. 15 = 3 × 5.
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 3 × 3 × 5.
LCM = 45.
(hope this helps can i plz have brainlist :D hehe)
<h3>
Answers:</h3>
- A. T <-> U is a <u>biconditional</u>
- B. (A & B) v (C & D) is a <u>disjunction</u>
- C. R -> ~S is a <u>conditional</u>
- D. P & Q is a <u>conjunction</u>
- E. ~(R v P) is a <u>negation</u>
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Explanations:
- A biconditional is anything in the form A <-> B. This is a compact way of saying (A -> B) & (B -> A). We replace A and B with logical statements.
- Disjunctions are of the basic form A v B. The "v" basically means "or".
- Any conditional is of the form "if... then...". For example, "if it rains, then it gets wet outside" is a conditional. In terms of logic symbols, we write A -> B to mean "if A, then B".
- Conjunctions are whenever we combine two logical statements with an "and" or an ampersand symbol. The basic form is A & B
- Negations are the complete opposite of the original. If the original is P, then the negation is ~P, which is read as "not P".
This equation is not factor-able, so we can use the quadratic formula.
x=(-11+square root(11^2-4(-12*-3)))/(2*-12)
x=(-11+square root(-23))/(-24)
Since we have the square root of a negative in this equation, there are no real roots for the quadratic.
2x+79+32=180
2x+111=180
2x=69
x=34.5
