Answer: False, True, False, True, True, True
Step-by-step explanation:
Points A, B, and C are coplanar since they're on the same plane but not on the same line.
Both BD and DE intersect since they both have a common point which is D.
The line BD connects both planes.
There’s no m in the photo
Yes
that is correct i am pretty sure
Answer:the binomial that is not a factor is x - 4
Step-by-step explanation:
The given polynomial is expressed as
P(x) = 3x^3 + 5x^2 - 4x - 4
The first step is to equate the polynomial to zero. It becomes
P(x) = 3x^3 + 5x^2 - 4x - 4 = 0
We would substitute each value of x into the polynomial. If the result is zero, then it is a factor.
1) x - 4 = 0, x = 4
Therefore,
3×4^3 + 5 × 4^2 - 4 × 4 - 4 = 0
384 + 80 - 16 - 4 = 444
2) x + 2 = 0, x = - 2
Therefore,
3 × -2^3 + 5 × -2^2 - 4 × -2 - 4 = 0
- 24 + 20 + 8 - 4 = 0
3) x = 1
Therefore,
3 × 1^3 + 5 × 1^2 - 4 × 1 - 4 = 0
4) 3x + 2 = 0
3x = - 2
x = - 2/3
Therefore
3 × (-2/3)^3 + 5 × (-2/3)^2 - 4 × (-2/3) - 4 = 0
Answer:
f⁻¹(x) = (4x)/5
Step-by-step explanation:
f(x) = 2x - 3x/4.
Assume y=f(x). Therefore:
y = 2x - 3x/4.
Make x the subject in the above equation.
y = (2x(4) - 3x)/4.
y = 5x/4.
4y = 5x.
(4y)/5 = x.
x = (4y)/5.
Therefore:
f(y) = (4y)/5.
Replace y with x.
f⁻¹(x) = (4x)/5.
Therefore, the inverse of f(x) = 2x - 3x/4 is f⁻¹(x) = (4x)/5!!!
