If -3 + i is a root of the polynomial function f(x), -3 - i must also be a root of f(x)
<h3>How to determine the true statement?</h3>
The root of the polynomial function is given as:
-3 + i
The above root is a complex root.
If a polynomial has a complex root, then the conjugate of the root is also a root of the function
The conjugate of -3 + i is -3 - i
Hence, if -3 + i is a root of the polynomial function f(x), -3 - i must also be a root of f(x)
Read more about polynomial functions at:
brainly.com/question/20896994
Answer:
Step-by-step explanation:
You can do one of two things when you start this question.
- you can use the distributive property to get rid of the brackets or
- you can do what was done here: divide both sides of the given equation by 6. So the answer is, divide both sides by 6
Answer:
see attached
Step-by-step explanation:
<h3>1.</h3>
Solid dots go at all the end points except the one at (3, 6), which gets an open dot signifying the function is not defined for that point.
For the first portion of the graph, the square root function is shifted left one unit and scaled vertically by a factor of 3.
The second portion of the graph is a line with a slope of -1. It would have a y-intercept of 5 if it were defined there. It has an x-intercept of 5.
<h3>2.</h3>
The y-intercept is found by setting x=0 and solving for y.
... y = log(2·0+1) -1 = log(1) -1 = 0 -1 = -1
The x-intercept is found by setting y=0 and solving for x.
... 0 = log(2x +1) -1
... 1 = log(2x +1) . . . add 1
... 10 = 2x +1 . . . . . . take the antilog
... x = (10 -1)/2 = 4.5 . . . . . subtract 1, divide by the x coefficient
The intercepts are (0, -1) and (4.5, 0).
Answer:
About 3891 people saw that movie.
Step-by-step explanation:
Day 1: 985 people
Day 2: (985*8)/10 (20% gone) = 788
Day 3: (788*8)/10 (20% gone) = 630.4
Day 4: (630.4*8)/10 (20% gone) = 504.32
Day 5: (504.32*8)/10 (20% gone) = 403.456
Day 6: (403.456*8)/10 (20% gone) = 322.7648
Day 7: (322.7648*8)/10 (20% gone) = 258.21184
Adding this up:
985+788+630.4+504.32+403.456+322.7648+258.21184=
985+788+630+504+403+323+258=3891
3(x+4y)+5(2x-y)
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