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3 years ago

Write down the converse and contrapositive. If 2 divides x, then x is an even number. Hint call this (p?q)

Mathematics

1 answer:

kodGreya [7K]3 years ago

4 0

Answer:

The converse and contrapositive of the given conditional statement are :

Converse : "If x is an even number, then 2 divides x".

Contrapositive : "If x is not an even number, then 2 does not divide x."

Step-by-step explanation: We are given to write the converse and contrapositive of the following conditional statement :

"If 2 divides x, then x is an even number."

Let us consider that

p : 2 divides x

and

q : x is an even number.

We know that

the CONVERSE of a conditional statement p ⇒ q is written as q ⇒ p.

So, the converse of the given statement is

"If x is an even number, then 2 divides x".

The CONTRAPOSITIVE of the conditional statement p ⇒ q is written as ~q ⇒ ~p (where ~p stands for the negation of p).

So, the contrapositive of the given statement is

"If x is not an even number, then 2 does not divide x."

Thus, the converse and contrapositive of the given statement are :

Converse : "If x is an even number, then 2 divides x".

Contrapositive : "If x is not an even number, then 2 does not divide x."

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Choose all that state the correct unit rate for each situation. 100 POINTS ASAP K12

Lorico [155]

Answer:

Please see the answers below:

Step-by-step explanation:

The wrong answers are deleted only the correct answers are listed below:

Ryan earns $45 for 5 hours of work. The unit rate is $9 for 1 hour.

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Claire saves $320 in 16 weeks. The unit rate is $20 per week.

% increase in price of gas = [(New Price - Original Price) / Original Price] x 100

% increase in price of gas = [($2.48 - $2.18) / $2.18] x 100

% increase in price of gas = [$0.3 / $2.18] x 100

% increase in price of gas = 13.76%

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3 years ago

HELP ASAP PLEASE <br> Find the area of the figure.

WITCHER [35]

Answer:

39.82

Step-by-step explanation:

to find the entire area of the figure, you'll have to split it up into two parts:

a. triangle

b. semi-circle

therefore, the formula for the area of a triangle is 1/2(base)(height). in simpler terms, it means to multiply 1/2 by the base and the height. in this case, multiply 1/2 x 5 x 12, which gives you 60/2, which ultimately gives you 30.

to find the area of the semi circle, use the area formula for a circle and divide the area by 2. the formula is: π $r^{2}$ . so, plug in your lengths. this gives you, π(5)^2. divide this by two. you should get an answer of 9.82

finally, add your two areas (30+9.82), which equals 39.82

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2 years ago

Rusty's hair grows at the rate of 1/4 inch per month.

Sunny_sXe [5.5K]

All i got was 1 and a half months

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3 years ago

Read 2 more answers

PWEASE HELP ME, AREA OF A CIRCLE

ludmilkaskok [199]

Answer:

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

If f(x) = 2x6 + 3x5 – 1, then what is the remainder when f(x) is divided by<br> x + 1?

Alchen [17]

<h3>Answer: -2</h3>

===============================================

Explanation:

We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).

Comparing x+1 to x-k shows that k = -1

It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.

Plug this k value into the function

f(x) = 2x^6 + 3x^5 - 1

f(-1) = 2(-1)^2 + 3(-1)^5 - 1

f(-1) = 2(1) + 3(-1) - 1

f(-1) = 2 - 3 - 1

f(-1) = -1 - 1

f(-1) =-2

The remainder is -2

We can confirm this through synthetic division or polynomial long division.

5 0

3 years ago