Answer:
f(x) = (x -3)^2·(x +7)^5·(x -4)
Step-by-step explanation:
When a polynomial (or any function) has a zero of "a" with multiplicity "b", then (x -a)^b is a factor. Your polynomial factors as ...
f(x) = (x -3)^2·(x +7)^5·(x -4)
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<em>Comment on the graph</em>
When the zero has multiplicity 1, the function crosses the x-axis with a non-zero slope.
When a zero has even multiplicity, the graph touches the axis, but does not cross. The graph crosses the x-axis if the multiplicity of the zero is odd.
When the zero has multiplicity greater than 1, the point where the curve touches the x-axis has zero slope. The "flatness" at that point increases with increasing multiplicity.
Answer:
1,300 students
Step-by-step explanation:
1864 - 564 = 1300
Answer: True
Step-by-step explanation:
The temeprature is solely reliant on time, meaning its a function of time
Answer:
Step-by-step explanation:
Since we are given a point and the slope, we should use the point-slope formula.
where (x₁, y₁) is the point the line passes through and m is the slope.
We know the line passes through the point (-3, 12) and the slope is -7. Therefore,
Substitute the values into the formula.
Remember that 2 back to back negative signs become a positive.
Now we have to put the equation in slope-intercept form, or y=mx+b. Therefore, we need to isolate the variable y on one side of the equation.
First, distribute the -7. Multiply each term inside the parentheses by -7.
12 is being subtracted from y. The inverse operation of subtraction is addition. Add 12 to both sides of the equation.
The equation of the line is <u>y=-7x-9</u>
Answer:
4880%
Step-by-step explanation:
u times 48 by 100 and then 0.8 is 80% so 4880%