The first answer is 1120,467,654,444,800
the second answer is 17,183,431,198,720
Answer:
1 false
2 true
3 true
4 false
5 true
Step-by-step explanation:
f(a) = (2a - 7 + a^2) and g(a) = (5 – a).
1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial
When added together, they will be a second degree polynomial
2. true When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction
3. true f(a) + g(a) = (2a - 7 + a^2) + (5 – a)
Combining like terms = a^2 +a -2
4. false f(a) - g(a) = (2a - 7 + a^2) - (5 – a)
Distributing the minus sign (2a - 7 + a^2) - 5 + a
Combining like terms a^2 +3a -12
5. true f(a)* g(a) = (2a - 7 + a^2) (5 – a).
Distribute
(2a - 7 + a^2) (5) – (2a - 7 + a^2) (a)
10a -35a +5a^2 -2a^2 -7a +a^3
Combining like term
-a^3 + 3 a^2 + 17 a - 35
Answer:
x = 4/9 + sqrt(2)/3 or x = 4/9 - sqrt(2)/3
Step-by-step explanation:
Solve for x over the real numbers:
(9 x - 4)^2 = 18
Take the square root of both sides:
9 x - 4 = 3 sqrt(2) or 9 x - 4 = -3 sqrt(2)
Add 4 to both sides:
9 x = 4 + 3 sqrt(2) or 9 x - 4 = -3 sqrt(2)
Divide both sides by 9:
x = 4/9 + sqrt(2)/3 or 9 x - 4 = -3 sqrt(2)
Add 4 to both sides:
x = 4/9 + sqrt(2)/3 or 9 x = 4 - 3 sqrt(2)
Divide both sides by 9:
Answer: x = 4/9 + sqrt(2)/3 or x = 4/9 - sqrt(2)/3
Answer:
Slope = 4/3
Step-by-step explanation:
Formula for slope-intercept form: y=mx + b
Given: 3y - 4x = -6
Add -4x to the right hand side to isolate out 3y (y).
It should look like this: 3y = 4x -6
Now divide both sides by 3.
You should get: y = 4/3x -2
Since it's asking for slope, your slope is 4/3.
