Answer:
Let x = the width of the smaller rectangle.
The length of the smaller rectangle is 2x - 1.
Area is A = lw
So the area of the smaller rectangle is A = (x)(2x - 1) = 2x^2 - x
Step-by-step explanation:
hope it helped
Answer:
Step-by-step explanation:
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Answer:
-4x + 12 = 20 is incorrect. she added 12 to 20 instead of subtracting 12 from both sides.
Step-by-step explanation:
It should have been, write problem
-4(x - 3) = 20
Use distributive property.
-4x + 12 = 20
subtract 12 from each side
-4x =8
divide each side by -4
x = -2
Answer:
C) Both
Step-by-step explanation:
The given equation is:

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.
Using this property:

So, Erik's solution strategy would work.
Now, let us discuss about Caleb's solution strategy:
Multiply
i.e.
= 
So, the equation becomes:

Comparing this equation to standard quadratic equation:

a = 3, b = -10, c = -8
So, this can be solved using the quadratic formula.


The answer is same from both the approaches.
So, the correct answer is:
C) Both
Answer:
vertical translation of 3 units down
Step-by-step explanation:
we have
----> the parent function
The vertex of f(x) is the point (0,0)
----> the transformed function
The vertex of g(x) is the point (0,-3)
so
The rule of the translation is
f(x) -----> g(x)
(0,0) ----> (0,-3)
(x,y) ----> (x,y-3)
That means ---> The translation is 3 units down
see the attached figure to better understand the problem