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Answer:
1. y = 1/4 and y = 1/4x+2
2. y - 1 = -x (x + 7) and y = -x and x + y = 3
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4. y = 3 and x = 6
5. y = 1/2x + 2 and y + 1 = -2x
6. Slope of <u>AB</u> = 2/3
Slope of BC = -3/2
AB is perpendicular to BC because 2/3(-2/3) = -1
ABC is a right triangle because it contains a right angle
Answer: B 10 Times large
Step-by-step explanation:The first 5 is 500,000 And the second 5 is 50,000
500,000÷ 50,000= 10
Answer:
Any number for x will work
Step-by-step explanation:
6x-3=3(2x-1)
expand
6x-3=6x-3
add three to both sides
6x=6x
simplify
x=x
Therefore any number for x will work
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

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

Factor -1 the leading coefficient

Complete the square


Rewrite as perfect squares

The vertex is the point (7,1)
therefore
The range is the interval
(-∞,1]