Answer:
0, ±1, ±7,±1/3, and ±7/3
Step-by-step explanation:
In the function:
3x^5 - 2x² + 7x
x can be extracted as the greatest common factor, as follows:
x(3x^4 - 2x + 7)
then, zero is one root of the function.
According to Rational Root Theorem:
possible rational roots = factors of the constant/factors of the leading coefficient
For this case, factors of the constant (7) are: ±1 and ±7
For this case, factors of the leading coefficient (3) are: ±1 and ±3
Then:
possible rational roots = ±1/±1, ±7/±1, ±1/±3 and ±7/±3. Simplifying: ±1, ±7,±1/3, and ±7/3
Answer:
y = (x + 8)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term )² to x² + 16x
y = x² + 2(8)x + 64 - 64 + 70
= (x + 8)² + 6 ← in vertex form
A discrete variable is a variable which may take only certain discrete values; for example the number of people in a household is a discrete variable which may have the value 1, 2, 3, etc. but cannot have intermediate values such as 1.473 or 3.732.
Choice d) can be represented by a discrete probability distribution, the other choices cannot be so represented.
Answer:
(-2, 0.5) first
Step-by-step explanation:
X (-4, 1) → X' (-4*0.5, 1*0.5)
X'(-2, .5)
