X = 3z - 22
z = 6
5x + 4y + 3z = 14
5 (3z - 22) + 4y + 3 (6) = 14
15z - 110 + 4y + 18 = 14
15 . 6 - 110 + 4y + 18 = 14
90 - 110 + 4y + 18 = 14
90 - 110 + 18 - 14 + 4y = 0
-16 + 4y = 0
4y = 16
y = 4
If you can't see the picture the answer is: (y+4)(y+2).
Hope this helps, and May the Force Be With You!
-Jabba
Answer:
y=-2/3*x+1/3
Step-by-step explanation:
-6x+4y=-12
put into y=mx+b line equation
4y=6x-12
y=(6/4)x-(12/4)
y=(3/2)x-4
slope is 3/2
to find perpendiular line slope take the negative inverse.
-(2/3) = slope of perpendicular line
use line equation and solve for y-intercept (b)
3=(-2/3)*(-4)+b
3=8/3+b
b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.
All the possible combinations are
1-1 2-1 3-1 4-1 5-1 6-1
1-2. 2-2 3-2 4-2. 5-2. 6-2
1-3 2-3. 3-3. 4-3. 5-3. 6-3
1-4. 2-4. 3-4. 4-4. 5-4. 6-4
1-5. 2-5. 3-5. 4-5. 5-5. 6-5
1-6. 2-6. 3-6. 4-6. 5-6. 6-6
What is the total for each roll?
2. 3. 4. 5. 6. 7.
3. 4. 5. 6. 7. 8
4. 5. 6. 7. 8. 9
5. 6. 7. 8. 9. 10.
6. 7. 8. 9. 10. 11.
7. 8. 9. 10. 11. 12
What roll occurs most often?
>>>>>>7<<<<<
7 occurs in 6 out of 36 possible outcomes
Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
