The sum of two consecutive odd intergers is 32. Find the intergers.

1 answer:

4 0

So let the smaller integer be 2x+1 and the larger one be 2x+3. So 2x+1+2x+3 is 32. Simplifying, we get 4x+4=32. So subtracting 2 from both sides we get 4x+2=30. So dividing by 2 we get 2x+1=15. So 2x+3 is 17. So the numbers are 15 and 17

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Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?

erik [133]

Answer:

A): f(x) = (x – 1)² + 2

Step-by-step explanation:

The quadratic function, f(x) = (x – 1)² + 2 is in vertex form: y = a(x - h)² + k, where:

The vertex of the graph is (h,k).
The value of a determines whether the graph opens up or down. If a is positive, the graph opens up and the vertex is its minimum point. If a is negative, then the graph opens down, and the vertex is its maximum point.
The value of h determines how far left or right the parent function is translated.
The value of k determines how far up or down the parent function is translated.

The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's minimum value, as the value of a is a positive, which implies that the parabola is upward facing, and the vertex, (1, 2) is the minimum point.

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Use the interactive protractor to determine the measure of the angle. what is manglejhg? 70° 75° 110° 115°

DanielleElmas [232]

Using the interactive protractor, the measure of the angle JHG is 115°

<h3>How to determine the measure of the angle?</h3>

The image that completes the question is added as an attachment.

The question requests that we determine the measure of JHG using a protractor.

To do this, we set one end of the protractor at 0°.

Then, we take the measurement of the other end

Using the interactive protractor, the other end stops at 115°