It’s a function if it passes the vertical line test or pencil test. Using a pencil and following the function if it touches the pencil in more then one spot it is not a function.
1. Function
2. Function but can be placed in not enough information
3. Not a function
4. Function
5. Function
6. Not a function
Answer: First I suggest that you write out the all the proportions which govern the 3 right triangles involved.
Once you do that you will find this one:
PQ/PS =PR/PQ
PR=PS+SR
Substitution will give you this quadratic:PQ2=PS2+PS*SR
144=PS2+7PS which has only one solution which make sense, namely 9
Then QS=sqrt(144-81)
Step-by-step explanation:
If

is true, then

is false, which in turn means

is true.
If

is false, then

is true, and so

is false.
So, because

in both cases, the statement is a tautology (always true).
If you were to put this in a table, you would have one column each for

. In the first column (

) you can think of

as an independent variable that can only take two values, true and false. In the next column (

), you would negate the value in the previous column. And so on.
It should roughly look like this:
p ... ~p ... ~(~p)
T ... F ... T
F ... T ... F
Answer:
7
Step-by-step explanation:
use distributive property first
2x-4=10
then, add positive 4 to -4 and 10 because opposite signs cancel out
2x=14 then we divide
To make a cake :-
Quantity of flour needed = 500 g
Quantity of butter needed = 450 g
Quantity of sugar needed = 470 g
Quantity of mixed fruit needed = 1.8 kg = 1000 g + 800 g
Quantity of eggs needed = 70 × 4 = 280 g
It's weight after adding all the ingredients =
=500 + 450 + 470 + 1000 + 800 + 280
= 3500 g
Mass that got lost while baking the cake :
<h3>= 12 % of 3500 </h3>





Final mass = Initial mass - mass that got lost


∴ The final mass of the cake is 3080 g .