A standard number cube has 6 sides.
P is any number less than 4 (or 3,2, and 1).
3, 2, and 1 are 3 numbers
Place the number 3 over the amount of numbers there is.
3/6.
Simplify. Divide 3 from the numerator and denominator.
(3/6)/(3/3) = 1/2
1/2, or (B) is your answer
hope this helps!
Answer:
the inverse of a function is the exact opposite
Step-by-step explanation:
Answer:
Part 1) The domain of the quadratic function is the interval (-∞,∞)
Part 2) The range is the interval (-∞,1]
Step-by-step explanation:
we have
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This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)
step 1
Find the domain
The domain of a function is the set of all possible values of x
The domain of the quadratic function is the interval
(-∞,∞)
All real numbers
step 2
Find the range
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
we have a vertical parabola open downward
The vertex is a maximum
Let
(h,k) the vertex of the parabola
so
The range is the interval
(-∞,k]
Find the vertex
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Factor -1 the leading coefficient
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Complete the square
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Rewrite as perfect squares
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The vertex is the point (7,1)
therefore
The range is the interval
(-∞,1]
Answer:
x^2 -10x+2
Step-by-step explanation:
(3x^2 - 11x - 4) – (x – 2) (2x + 3)
FOIL
(3x^2 - 11x - 4) – (2x^2-4x+3x-6)
Combine like terms
(3x^2 - 11x - 4) – (2x^2 -x-6)
Distribute the minus sign
3x^2 - 11x - 4 – 2x^2 +x+6
Combine like terms
x^2 -10x+2