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lilavasa [31]
3 years ago
6

The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller num

ber?
Mathematics
1 answer:
Shkiper50 [21]3 years ago
8 0
We let x represent number 1 and let y represent number 2. In this case, the first statement is translated into an expression: y - x  = 25 while the second statement is expreesed as x = y/6. Solving the two euqations simultaneously, y is equal to 30 and x is equal to 5.  hence, answer is 5
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Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.  

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

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The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).

The axis of symmetry occurs at <em>x = h</em>.

<em>a</em> =  determines whether the graph opens up or down, and makes the graph wider or narrower.

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<em>k</em> = determines how far up or down the parent function is translated.

Going back to your quadratic function,

          y = (x + 4)² - 8

  • The vertex occrs at (-4, -8)
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Answer:

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