Answer:
f(x) = (2/3)x + 4
Step-by-step explanation:
An equation in function is found by isolating y, and changing "y" to "f(x)".
Isolate y by moving everything else to the other side
What is done to one side must be done to the other
6y - 4x = 24
6y - 4x + 4x = 24 + 4x (add 4x to both sides. -4x +4x cancels out)
6y = 24 + 4x
6y/6 = 24/6 + 4x/6 (divide both sides by 6)
y = 4 + (2/3)x (simplify)
y = (2/3)x + 4 (rearrange to a familiar format "y=mx+b")
f(x) = (2/3)x + 4 (replace y with f(x))
Answer:
1. 9x^2-24xy16y^2
2.
3.9y^2-246y+1681
4. 18x^2+54x-44
Step-by-step explanation:
1. (3x)^2-2*3x*4y+(4y)^2
9x^2-2*3x4y+(4y)^2
9x^2-24xy+(4y)^2
9x^2-24xy+16y^2
Ans: 9x^2-24xy+16y^2 the (*) are times
2. 912+31-20=923
ANS: 13*71
3. 1681-246y+9y^2
9y^2-246y+1681
ANS : 9y^2-246y+1681
4. 3x*(9*2+6x+4)-2(9*2+6x+4)
54x+18^2+12x-2(9*2+6x+4)
54x+18x^2+12x-36-12x-8
54x+18^2+12x-36-12x-8
54x+18x^2-36-8
18x^2+54x-36-8
18x^2+54x-44
Ans: 18x^2+54x-44
5. 3x*3x-3x*4+5*3x-5*4
9x^2-3x*4+5*3x-5*4
9x^2-12x+5*3x-5*4
9x^2-12x+15x-5*4
9x^2-12x+15x-20
ANS: 9x^2+3x-20
6. (31+2)(912-61+4)=28215
ANS : 3^3*5*11*19
7. 9.12-2414+1672
912/100-2414+1672
2^4*3*19/2^2*5^2 -2414+1672
2^4-2*3*19/5^2 -2414+1672
2^2*3*19/5^2 -742
(2^2*3*19)-5^2)742/5^2
(4*3*19)-25*742/5^2
228-18550/5^2
18322/5^2
8. 2713-8
2705
ANS: 5*541
Mean = (total of contributors) / (number of contributors)
For the 6 people in the room, you have
40 = (total of contributors) / 6
(total of contributors) = 6*40 = 240
A 60-year-old left the room, decreasing the total of contributors by 60.
(new total of contributors) = (total of contributors) - 60
(new total of contributors) = 240 - 60 = 180
Then the new mean is
(new mean) = (new total of contributors) / (new number of contributors)
(new mean) = 180 / 6 = 36
The mean age of the remaining 5 people is 36.
30/150 = 80/x
Reduce the fraction:
1/5 = 80/x
Cross multiply:
x = 5 x 80
x= 400
Answer: 400 zebras.
0.006
That's you're answer
