You are trying to isolate the variable (n) so you would subtract 7.4 on both sides. Therefore n=5.3-7.4 which equals -2.1
Answer:
Using divisibility rules, it is impossible to have exactly the same number of kids in each of the diamonds
Step-by-step explanation:
Here, we want to use divisibility rule to check for the possibility of 152 kids showing for the kids
Since we need exactly equal number of kids in each of the diamonds, we are going to test the possibilities that we can share 152 to have the same number of campers in each of the diamond
Mathematically 152/6 = 25.3333
Since we have a remainder for the division, it is impossible to share the campers equally in the six diamonds if 152 kids show up for the camp
Answer:
The explicit function that represents Mark's salary is;

Step-by-step explanation:
The given parameters are;
The amount Mark will make at annually as an engineer = $65,000
The percentage annual pay increase guaranteed by the company = 2%
The explicit function that represents Mark's salary can be presented as follows;
Let Mark's present salary = y
Therefore we have;
y = $65,000× (1 + 0.02)ˣ = $65,000× (1.02)ˣ
Mark salary, y at a particular year, x is y = $65,000× (1.02)ˣ.
Answer:
--1-- (of set 23456)
2 4
5 3
6
--2-- (of set 23456)
2 3
5 4
6
--3-- (of set 23456)
2 5
6 3
4
--4-- (of set 23456)
2 3
6 5
4
--5-- (of set 23456)
3 5
4 2
6
--6-- (of set 23456)
3 2
4 5
6
--7-- (of set 23456)
3 6
5 2
4
--8-- (of set 23456)
3 2
5 6
4
--9-- (of set 23456)
3 5
6 4
2
--10-- (of set 23456)
3 4
6 5
2
--11-- (of set 23456)
4 5
3 2
6
--12-- (of set 23456)
4 2
3 5
6
--13-- (of set 23456)
4 6
5 3
2
--14-- (of set 23456)
4 3
5 6
2
--15-- (of set 23456)
5 4
2 3
6
--16-- (of set 23456)
5 3
2 4
6
--17-- (of set 23456)
5 6
3 2
4
--18-- (of set 23456)
5 2
3 6
4
--19-- (of set 23456)
5 6
4 3
2
--20-- (of set 23456)
5 3
4 6
2
--21-- (of set 23456)
6 5
2 3
4
--22-- (of set 23456)
6 3
2 5
4
--23-- (of set 23456)
6 5
3 4
2
--24-- (of set 23456)
6 4
3 5
2
--1-- (of set 34567)
3 5
6 4
7
--2-- (of set 34567)
3 4
6 5
7
--3-- (of set 34567)
3 6
7 4
5
--4-- (of set 34567)
3 4
7 6
5
--5-- (of set 34567)
4 6
5 3
7
--6-- (of set 34567)
4 3
5 6
7
--7-- (of set 34567)
4 7
6 3
5
--8-- (of set 34567)
4 3
6 7
5
--9-- (of set 34567)
4 6
7 5
3
--10-- (of set 34567)
4 5
7 6
3
--11-- (of set 34567)
5 6
4 3
7
--12-- (of set 34567)
5 3
4 6
7
--13-- (of set 34567)
5 7
6 4
3
--14-- (of set 34567)
5 4
6 7
3
--15-- (of set 34567)
6 5
3 4
7
--16-- (of set 34567)
6 4
3 5
7
--17-- (of set 34567)
6 7
4 3
5
--18-- (of set 34567)
6 3
4 7
5
--19-- (of set 34567)
6 7
5 4
3
--20-- (of set 34567)
6 4
5 7
3
--21-- (of set 34567)
7 6
3 4
5
--22-- (of set 34567)
7 4
3 6
5
--23-- (of set 34567)
7 6
4 5
3
--24-- (of set 34567)
7 5
4 6
3
Step-by-step explanation:
This javascript code is extremely brute-force, but it does the job:
function checkIfInSet(i, set) {
return i.toString().split('').sort().join('') === set;
}
function checkIfMagic(s) {
return (parseInt(s[0]) + parseInt(s[1]) == parseInt(s[3]) + parseInt(s[4]))
}
function printMagic(s) {
console.log(`${s[0]} ${s[4]}`);
console.log(` ${s[1]} ${s[3]}`);
console.log(` ${s[2]}\n`);
}
function checkSet(set) {
let counter = 1;
for(let i=1; i<99999; i++) {
if (checkIfInSet(i, set) && checkIfMagic(i.toString())) {
console.log(`--${counter++}-- (of set ${set})`);
printMagic(i.toString());
}
}
}
checkSet('23456');
checkSet('34567');
Answer:
224
Step-by-step explanation:
Hello!
To find f(-7) you simply plug the value, -7, into the function.
This will get you:
f(-7) = 4(-7)^2 - 4(-7)
Remember that the square of a negative number is a positive! Also, remember to use the order of operations (PEMDAS)!
This will get you:
f(-7) = 4(49) - 4(-7)
f(-7) = 196 - (-28)
f(-7) = 224
Hope this helps!