Answer:

Step-by-step explanation:
-5/2 × (3x + 4) < 6x - 3x
-15/2x - 10 < 3x
-15x - 20 < 6x
-15x - 6x < 20
-21x < 20
<u>x</u><u> </u><u>></u><u> </u><u>-</u><u>2</u><u>0</u><u>/</u><u>2</u><u>1</u>
Answer:
144500
Step-by-step explanation:
If x is the number of people that come over to dinner, and y is how much ounces of broccoli he needs, then this is your equation:
7x = y is your answer
Because he needs 7 ounces for each person, to find the number of ounces he needs, you multiply 7 by the number of people.
Answer:
- g(x) = 2|x|
- g(x) = -2|x|
- g(x) = -2|x| -3
- g(x) = -2|x-1| -3
Step-by-step explanation:
1) Vertical stretch is accomplished by multiplying the function value by the stretch factor. When |x| is stretched by a factor of 2, the stretched function is ...
g(x) = 2|x|
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2) Reflection over the x-axis means each y-value is replaced by its opposite. This is accomplished by multiplying the function value by -1.
g(x) = -2|x|
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3) As you know from when you plot a point on a graph, shifting it down 3 units subtracts 3 from the y-value.
g(x) = -2|x| -3
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4) A right-shift by k units means the argument of the function is replaced by x-k. We want a right shift of 1 unit, so ...
g(x) = -2|x -1| -3
(4x + 3y)² =
<span>(4x)² + 2 (4x) (3y) + (3y)² = </span>
<span>16x² + 24xy + 9y²</span>