Answer:
m=3
Step-by-step explanation:
Move all terms that don't contain m to the right side and solve.
There can only be two definite x-intercepts, so your goal it to find 2 numbers of x that, when plugged into the equation, give you the answer of 0. 1 is the first x-intercept(4-24+20 equals 0). The second one is 5 (100-120+20 equals 0). So the average is 3, so the axis of symmetry is 3 since 5+1=6, and 6/2=3
Honestly, there is an easier way to find the axis of symmetry. the equation would be -b/2a, where as b is the coefficient in the second part of the equation, while a is the first coefficient in the equation. -(-24) is 24, and 4*2=8, so 24/8=3
I hope I actually answered this the way you wanted. You asked for an equation, but I just answered the axis of symmetry with very simple equation initially and another equation
Answer: 151 books
Step-by-step explanation: 243-65-59+32=151
See attachment for the graph of the piecewise function h(x)
<h3>How to plot the function?</h3>
The function is given as:
h(x) = | -4, x < 3
| x + 5, x >= 3
The above function is a piecewise function.
It has 2 separate functions at two domains
This means that we plot the sub-functions in the piecewise function at their respective domain
See attachment for the graph of the piecewise function h(x)
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The Depth of the Scientist before dropping is; 42.2 ft
<h3>How to calculate sea level elevation?</h3>
It is pertinent to note that sea level is usually considered zero level. Thus, one is either above the sea level (positive sign) or below the sea level.
Now, we are told that the scientist was already below the sea level before she dropped 24.9 ft.
Now, if after dropping 24.9 ft, she is now 66.7 ft below sea level, then it means that the depth she was at before dropping 24.9 ft is;
Depth before dropping 24.9 ft = 66.7 - 24.9
Depth before dropping = 42.2 ft
Read more about Sea level Elevation at; brainly.com/question/2092614
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