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Stels [109]
3 years ago
9

The graph shows the path that Karis bicycles on Thursday. Each unit represents 1 mile. She bicycles north, then east, then south

, and finally west to return to the same starting point at (1, 3). On Saturday, Karis starts at (1, 3), but bicycles 4 more miles north and 5 more miles east, along a similar rectangular path. She determines that she rode an additional 4+5=9 miles. Is Karis correct?
Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0
Yes Karis is correct I hope this helps and if its wrong let me know but I'm sure I'm correct
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Is the sum of a negative and positive number always negative
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When a rate is simplifed so that it has a denominator of 1 unit, it is called a(n) ___________ rate.
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called unit rate .

Step-by-step explanation:

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A rabbit hopped 1.5 ft as a mouse scurried 18 inches. What is the difference in the distance the two animals traveled? Give your
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Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?
Delvig [45]
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
                          x³ - 11x² + 38x - 40
(x - 5)  * x² =      x³ - 5x²                   Subtract
____________________________
                              -6x² + 38x - 40
   (x - 5) * (-6x) =    -6x² + 30x          Subtract
____________________________
                                           8x - 40
                    (x - 5) * 8 =     8x - 40   Sutract
____________________________
                                              0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
                  = x² - 2*x - (4*x - 4*2) = 
                  = x(x - 2) - 4(x - 2) =
                  = (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0            or             x - 4 = 0              or      x - 2 = 0
x = 5                 or              x = 4                   or      x = 2
3 0
3 years ago
How do you use the order of operations to evaluate expressions with exponents?
IgorLugansk [536]
Using BEDMAS, it would be brackets first, so anything Inside a set of brackets would be solved first, and would follow the same rule. Once the brackets have been solved, next would be the exponents. Since your brackets have been solved you can expand with the exponents. After exponents, would be anything that has to be divided or multiplied. These two operations are interchangeable based on what is more convenient or beneficial to do first. And lastly, addition and subtraction, which once again are interchangeable operations
5 0
3 years ago
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