The ∛35 will be plotted between 3 and 4, but closer to 3 on the number line.
In basic mathematics, real numbers are shown as a fine graphic of a graduated straight line which is called a number line.
- Every point on a number line is considered to correspond to a real number, and every real number is assumed to correspond to a point.
- The integers are typically shown as lines of specially chosen, evenly spaced dots.
- Even though the image only shows the integers from -3 to 3, as well as values that are in between the integers, the product contains all real numbers, going forever in both directions.
- When teaching the very foundations , addition and subtraction with negative numbers, it is widely used as a teaching technique.
We know that 35 lies between 27 and 64 , and 27 = 3³ and 64 = 4³.
Hence the ∛35 will be plotted between 3 and 4 and since 35 is closer to 27 than 64 , therefore it will be closer to 3.
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Let's expand both options, your friend's and yours, as shown below
Then, both equations are the same besides a constant that will not affect the zeros of the functions, as shown below
And
Both your friend and you are correct. The functions are the same with exception of a constant that multiplies the whole function (a scale factor); despite that, the zeros are the same for both functions
The temperature at 6:00 a.m. was –12°F. By 3:00 p.m. the temperature had risen 21F<span>°</span>.<span>What was the temperature at 3:00 p.m.?
C.
9°F
</span>
