Answer:
Step-by-step explanation:
Find the slope, denoted m
This is done by using the formula m = (y2 - y1)/(x2 - x1)
The slope for this problem is
m = [-3 - (-1)]/[8 - (-2)]
m = -2/10 = -1/5
Answer:
Two complex roots.
Step-by-step explanation:
F(x)=2x^4 +5x^3 - x^2 +6x-1
is a polynomial in x of degree 4.
Hence F(x) has 4 roots. There can be 0 or 2 or 4 complex roots to this polynomial since complex roots occur in conjugate pairs.
Use remainder theorem to find the roots of the polynomial.
F(0) = -1 and F(1) = 2+5-1+6-1 = 11>0
There is a change of sign in F from 0 to 1
Thus there is a real root between 0 and 1.
Similarly by trial and error let us find other real root.
F(-3) = -1 and F(-4) = 94
SInce there is a change of sign, from -4 to -3 there exists a real root between -3 and -4.
Other two roots are complex roots since no other place F changes its sign
Simplifying the given expression, it is found that Curtis is correct.
<h3>How to simplify the expression?</h3>
The expression to be simplified is given by:
[4(10) - 3²] + 6(4)
The non-related operations can be solved first, hence:
[4(10) - 3²] + 6(4) = [40 - 9] + 24
For the square, we have to consider that:
- For -x², the negative is not part of the square, hence the result is negative, as - x*x = -x².
- For (-x)², the negative is part of the square, hence the result is positive, as (-x)*(-x) = x².
The first bullet point is the reason that -3² = 9. Then, the simplified expression is completed as follows:
[40 - 9] + 24 = 31 + 24 = 55.
Which means that Curtis is correct.
More can be learned about the simplification of expressions at brainly.com/question/723406
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(8) if you mean -4 then it's (-8)
