Answer:
45 marbles
Step-by-step explanation:
Answer:
1.1x
x + 0.1x
Step-by-step explanation:
The manager of a store marks up all items by 10%.
So, if the original price of any item is x, then increase for markup is 10% of x i.e. .
Hence, the expression that represents the new price with the markup is (x + 0.1x) = 1.1x.
Slimination
the teacher probably wants you to eliminate the x terms since there are an equal number of them
so multiply first equation by -1
-6x+3y=-30
add to second equation
6x-6x+3y+y=18-30
0x+4y=-12
4y=-12
divide by 4
y=-3
subsitute
6x+-3=18
add 3
6x=21
divide both sides by 6
x=21/6=7/2
x=7/2
y=-3
Answer: 210
Step-by-step explanation:
We know that the number of combinations of n things taken r at a time is given by :-
![C(n,r)=\dfrac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=C%28n%2Cr%29%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
So, number of ways to select 3 plants out of 7 = ![C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35](https://tex.z-dn.net/?f=C%287%2C3%29%3D%5Cdfrac%7B7%21%7D%7B3%214%21%7D%3D%5Cdfrac%7B7%5Ctimes6%5Ctimes5%5Ctimes4%21%7D%7B6%5Ctimes%204%21%7D%3D7%5Ctimes5%3D35)
Also number of ways to arrange them in 3 positions = 3! = 6
Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)
= 35 x 6
=210
Hence, required number of ways = 210
<h2>
Hello!</h2>
The answers are:
a) The name of function is f.
b) Independent variable : x , dependent variable : y/f(x)
c) The rule that assings exactly one output to the very input is called "function".
d) ![f(4)=\frac{3}{4+2}=\frac{3}{7}](https://tex.z-dn.net/?f=f%284%29%3D%5Cfrac%7B3%7D%7B4%2B2%7D%3D%5Cfrac%7B3%7D%7B7%7D)
<h2>Why?</h2>
Usually, the name of a function
is what is out of the parentheses, so the name of the function is "f".
The independent variable of a function is the variable we assign the different values, so, for this case, the independent variable is designated with the letter "x"
The dependent variable is the function itself, it's also called "y", it's called "dependent" variable because its values will always depend on the "independent variable"
A function is a rule that states that there is exactly one output (range value) to the very input (domain value). A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.
Evaluating a function consists of assign values to the independent variable(x), hence:
![f(4)=\frac{3}{4+2}=\frac{3}{7}](https://tex.z-dn.net/?f=f%284%29%3D%5Cfrac%7B3%7D%7B4%2B2%7D%3D%5Cfrac%7B3%7D%7B7%7D)
Have a nice day!