11 / 2 plus 11 / 4 in fraction
1 answer:
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Answer:
y ≥ 3x - 1
y <
Step-by-step explanation:
Let the equation of the solid line passing through (x', y') given in graph is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of the solid line =
m =
m = 3
y - intercept 'b' = -1
Therefore, equation of the line will be,
y = 3x - 1
Since, shaded (blue) area is above the line, inequality that will represent the solution area will be,
y ≥ 3x - 1
For the dotted line,
Slope of the line (m) =
=
=
y-intercept (b) = 2
Equation of the dotted line → y =
Since, shaded (grey color) area is below the dotted line,
Inequality representing the solution area will be,
y <
Answer:
a)
b)
c)
Step-by-step explanation:
<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.
This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.
Then write the polynomial in factored form.
Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.
<u>For question b, do the same procedure</u>.
Degree: 3
Zeros: -5/2, 4/5, 6.
The factors are
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<u>Finally for the question c we have</u>
Degree: 5
Zeros: -3, 1, 4, -1
Multiplicity 2 in -1
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