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Jlenok [28]
3 years ago
5

Find the equation for the line through points (2,0) and (8,4) use y=Mx+b

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0

Answer: y = mx + b

(–6) = (4)(–1) + b

–6 = –4 + b

–2 = b

Step-by-step explanation:

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For each of the following, use logic laws to decide whether the statement is a tautology contradiction, or neither. a (a) (A B)
spayn [35]

Answer:

The statement (A\rightarrow \lnot B)\land (B\rightarrow A) is a contingency.

The statement (P\rightarrow \lnot P)\land P is a contradiction.

Step-by-step explanation:

A tautology is a proposition that is always true.

A contradiction is a proposition that is always false.

A contingency is a proposition that is neither a tautology nor a contradiction.

a) To classify the statement (A\rightarrow \lnot B)\land (B\rightarrow A), you need to use the logic laws as follows:

(A\rightarrow \lnot B)\land (B\rightarrow A) \equiv

\equiv (\lnot A \lor\lnot B)\land(\lnot B \lor A) by the logical equivalence involving conditional statement.

\equiv (\lnot B\lor \lnot A )\land(\lnot B \lor A) by the Commutative law.

\equiv \lnot B \lor (\lnot A \land A) by Distributive law.

\equiv \lnot B \lor (A \land \lnot A) by the Commutative law.

\equiv \lnot B \lor F by the Negation law.

Therefore the statement (A\rightarrow \lnot B)\land (B\rightarrow A) is a contingency.

b) To classify the statement (P\rightarrow \lnot P)\land P, you need to use the logic laws as follows:

(P\rightarrow \lnot P)\land P \equiv

\equiv (\lnot P \lor \lnot P)\land P by the logical equivalence involving conditional statement.

\equiv P \land (\lnot P \lor \lnot P) by the Commutative law.

\equiv (P \land \lnot P) \lor (P \land \lnot P) by Distributive law.

\equiv F \lor F \equiv F by the Negation law.

Therefore the statement (P\rightarrow \lnot P)\land P is a contradiction.

8 0
3 years ago
Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?
ch4aika [34]
I have my notes here that will help you in answering the problem:

Test to determine if a function y=f(x) is even, odd or neither: Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even. If f(-x) = - f(x), the function<span>is odd.
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I hope my answer has come to your help. God bless and have a nice day ahead!
7 0
3 years ago
Rewrite: 72x3/4<br> please show how you got answer
Alex_Xolod [135]

We have been given the expression

72 \times \frac{3}{4}

We can rewrite the expression as \frac{72\times 3}{4}

In order to simplify the given expression, we can check if we have any common terms in the numerator and denominator.

We can write the term 72 which is in the numerator as 18\times 4

Thus, the expression becomes

\frac{18\times 4\times 3}{4}

We can see that 4 is common in both numerator and denominator. Hence, we can cancel 4. Thus, we are left with

18 \times 3\\&#10;=54

Therefore, we can rewrite the given expression as 54.

8 0
3 years ago
27=3 raised to power (2x_1)​
Ivahew [28]

Answer:

x = 2

Step-by-step explanation:

27=3^{2x-1}\\\\3^{3}=3^{2x-1}\\

Bases are equal. So, compare powers

2x - 1 = 3

Add 1 to both sides,

2x = 3+1

2x = 4

Divide both sides by 2

x = 4/2

x = 2

7 0
3 years ago
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Andrews [41]
So you need to find the $ for one hour of work
if 16=135
1 hour= $8.50
$8.50*24= $204
answer=$204
hope this helps :)
3 0
3 years ago
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