What is the value of N? 5x4/5=n
2 answers:
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- Put brackets around the first two terms on the right. y = (-4x^2 - 16x) - 14
- Pull out the common factor in the first two terms. y = -4(x^2 + 4x) - 14
- Divide the middle term by 2. Add that inside the brackets. square y = -4(x^2 +4x +(4/2)^2 - 14
- y = -4(x^2 + 4x + 4) - 14 + 16 This is the step where most people stumble. The point is why is 16 added? It is because what you have done inside the brackets is multiplied 4 by - 4 (on the left). That means you have changed the equation by -16. To counter that, you must add 16 after the - 14. The result is y= -4(x^2 + 4x+4) + 2
- Express the terms inside the brackets as a square. y = - 4(x + 2)^2 + 2
B and D are both wrong. B has +4 outside the brackets. It is - 4
D is wrong because there is no 4 of any kind outside the brackets.
A is incorrectly represented inside the brackets as 16. That's not right
That only leaves C. <<<< Answer
Graphs
Notice that the red parabola and the green one are the same thing.
Red: y = -4x^2 - 16x - 14
Green: y = -4(x + 2)^2 + 2
The question is incomplete. The complete question is as follows.
Consider the reduction of the rectangle. A large rectangle has a length of 16.8 feet and width of 2.3 feet. A smaller rectangle has a length of 4.5 feet and width of x feet. Not drawn to scale (The drawing is in the attachment). Rounded to the nearest tenth.
What is the value of x?
A. 0.1 feet
B. 0.6 feet
C. 1.6 feet
D. 2.0 feet
Answer: B. 0.6 feet
Step-by-step explanation: Two quantity are proportional if the ratio of them is constant. From the drawing and the question, we have that the two rectangles are proportional between them.
x =
x = 0.6
The width of the smaller rectangle is <u>0.6 feet</u>.