Answer:
a=9
b=9
c=18
Step-by-step explanation:
c(a+b)+a+b=36
2a+2b=36
a+b=18
c=18
4(m + 2) expanded is 4 x m and 4 x 2
simplified: 4m + 8
The setup boxes in the synthetic division are (b)
<h3>How to determine the setup boxes?</h3>
The dividend is given as:
x^3 + 4x^2 + x - 6
The divisor is given as:
x - 2
Set the divisor to 0
x - 2 = 0
Solve for x
x = 2
Remove the variables in the dividend
1 + 4 + 1 - 6
Remove the arithmetic signs
1 4 1 - 6
So, the setup is:
2 | 1 4 1 - 6
Hence, the setup boxes are (b)
Read more about synthetic division at:
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➷ Slope = rise/ run
Slope = 4/2
Slope = 2
<h3><u>✽</u></h3>
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<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".