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kirill [66]
3 years ago
7

Wright a variable expression for the word phrase, " Five less than a number m"

Mathematics
1 answer:
lakkis [162]3 years ago
7 0
The answer is <span>C: m - 5</span>
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Determine which function has the greatest rate of change over the interval [0, 2].
ruslelena [56]
Remember that the average rate of change of a function over an interval is the slope of the straight line connecting the end points of the interval. To find those slopes, we are going to use the slope formula: m= \frac{y_{2}-y_{1}}{x_2-x_1}

Rate of change of a:
From the graph we can infer that the end points are (0,1) and (2,4). So lets use our slope formula to find the rate of change of a:
m= \frac{y_{2}-y_{1}}{x_2-x_1}
m= \frac{4-1}{2-0}
m= \frac{3}{2}
m=1.5
The average rate of change of the function a over the interval [0,2] is 1.5

Rate of change of b:
Here the end points are (0,0) and (2,2)
m= \frac{2-0}{2-0}
m= \frac{2}{2}
m=1
The average rate of change of the function b over the interval [0,2] is 1

Rate of change of c:
Here the end points are (0,-1) and (2,0)
m= \frac{0-(-1)}{2-0}
m= \frac{1}{2}
m=0.5
The average rate of change of the function c over the interval [0,2] is 0.5

Rate of change of d:
Here the end points are (0,0.5) and (2,2.5)
m= \frac{2.5-0.5}{2-0}
m= \frac{2}{2}
m=1
The average rate of change of the function d over the interval [0,2] is 1

We can conclude that the <span>function that has the greatest rate of change over the interval [0, 2] is the function a.</span>
4 0
3 years ago
Define the following terms:
Karolina [17]

Answer: the quantity of matter which a body contains, as measured by its acceleration under a given force or by the force exerted on it by a gravitational fieldStep-by-step explanation:

5 0
3 years ago
If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n=__?
Olin [163]
If the image is congruent to the pre-image, then the scale factor must be 1.
4 0
3 years ago
Read 2 more answers
What number "c" completes the square: x^2 - 14x + c
Vladimir79 [104]

Answer:

49

Step-by-step explanation:

To complete the square we use the formula:

c=(\frac{b}{2} )^{2}

So we can plug in 14 for b to find c.

c=(\frac{14}{2} )^{2}\\\\c=(7 )^{2}\\c=49

Now this equation can be factored into:

(x-7)^{2}

6 0
3 years ago
What is 9 1\8 + 9 3\8​
Murljashka [212]

Answer:

18.5 or 18 1/2

Step-by-step explanation:

9 plus 9 is 18. 1/8 plus 3/8 is 4/8 or 1/2. so 18 1/2

7 0
2 years ago
Read 2 more answers
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