The temperature at 9am was 4 degrees Celsius. At 7pm the temperature was

The cost of renting a canoe to use on River Y costs $. The cost of renting a canoe to use on River Z costs $ per hour plus a

almond37 [142]

Answer:

7 hours

Step-by-step explanation:

7 0

2 years ago

Select all of the following that are ordered pairs of the given function.

podryga [215]

Answer:

(-1, 5)

(0, 3)

(2, -1)

Step-by-step explanation:

we have

$f(x)=3-2x$

Remember that

If a ordered pair is a solution of the given function, then the ordered pair must satisfy the given function

<u><em>Verify each case</em></u>

case a) (-2, -1)

substitute the value of x and the value of y in the given function and compare the result

$-1=3-2(-2)$

$-1=7$ ---> is not true

therefore

Is not a ordered pair of the given function

case b) (-1, 5)

substitute the value of x and the value of y in the given function and compare the result

$5=3-2(-1)$

$5=5$ ---> is true

therefore

Is a ordered pair of the given function

case c) (0, 3)

substitute the value of x and the value of y in the given function and compare the result

$3=3-2(0)$

$3=3$ ---> is true

therefore

Is a ordered pair of the given function

case d) (1,0)

substitute the value of x and the value of y in the given function and compare the result

$0=3-2(1)$

$0=1$ ---> is not true

therefore

Is not a ordered pair of the given function

case e) (2, -1)

substitute the value of x and the value of y in the given function and compare the result

$-1=3-2(2)$

$-1=-1$ ---> is true

therefore

Is a ordered pair of the given function

6 0

3 years ago

PLEASE help Asap please

puteri [66]

I believe the answer would be 5 pages.
If you would like to see my work please reply saying so.
Hope this could help.

8 0

3 years ago

Consider the following argument. If I get a Christmas bonus, I'll buy a stereo. If I sell my motorcycle, I'll buy a stereo. ∴ If

Nuetrik [128]

Answer:

p → r valid, proof by division into cases

q → r

∴ p ∨ q → r

Step-by-step explanation:

Let

p = "if I get a Christmas bonus,"

q = "if I sell my motorcycle,"

and

r = "I'll buy a stereo."

This can be written as:

If I get a Christmas bonus, I'll buy a stereo

p → r

If I sell my motorcycle, I'll buy a stereo

q → r

∴ If I get a Christmas bonus or I sell my motorcycle, then I'll buy a stereo.

∴ p ∨ q → r

To prove this argument we partition the argument into a group of smaller statements that together cover all of the original argument and then we prove each of the smaller statements. If you see the conclusion ∴ p ∨ q -> r so if the conclusion contains a conditional argument of form "If A1 or A2 or... or An then C ”, then we prove "If A1 then C", "If A2 then C" and so on upto "If An then C" . This depicts that the conclusion C is true no matter which if the Ai holds true. This method is called proof by division into cases. In the given example, this takes the form:

p → r

q → r

p ∨ q

∴ r

Since proof by division into cases is an inference rule thus given argument is valid. Lets make a truth table to show if this argument is valid

p q r p ∨ q p → r q → r p ∨ q → r

0 0 0 0 1 1 1

0 0 1 0 0 0 0

0 1 0 1 1 0 0

0 1 1 1 0 1 1

1 0 0 1 0 1 0

1 0 1 1 1 0 1

1 1 0 1 0 0 0

1 1 1 1 1 1 1

An argument is valid if all of the premises are true, then the conclusion is true. So the truth table shows that the conclusion is true i.e. 1 where all premises are true i.e. 1. So the argument is valid.

Hence

p → r valid, proof by division into cases

q → r

∴ p ∨ q → r

4 0

3 years ago

What is the simplified form of (x+3/x^2-x-12)•(x-4/x^2-8x+16)

iragen [17]

1/(x+4)2, hope this helped!

7 0

3 years ago