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Ganezh [65]
2 years ago
9

Write and equation based on the graph. Please help me 20 points!

Mathematics
1 answer:
zaharov [31]2 years ago
8 0

Answer:

y = 3/5x - 1

Step-by-step explanation:

The slope found from counting the units is 3/5, and the y-intercept is -1, hence 3/5x - 1

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Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely
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\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}

\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1)  +2x(2x+1) +  (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2

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2 years ago
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X+6-5=8-2 <br> x=? <br> solve the following equation. then place the correct number in the box
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X
+
6
−
5
=
8
−
2

+
6
−
5
=
8
−
2
Solve
1
Subtract the numbers
x
+
6
−
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=
8
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2

+
6
−
5
=
8
−
2
x
+
1
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2
2
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x
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1
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8
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x
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6
3
Subtract
1
1
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1
=
6
x
+
1
−
1
=
6
−
1

+
1
−
1
=
6
−
1
4
Simplify
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Subtract the numbers
x
=
5

=
5
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