The factored form of the given expressions are
y = (x -2)(x +7)
y = (x +6)(x -9)
y = (x +2)(x +6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = (x -1)(x +9)
y = (x +4)(x -4)
<h3>Factoring quadratic expressions</h3>
From the question we are to factor the given quadratic expressions
y = x² +7x -2x - 14
y = x(x +7) -2(x +7)
y = (x -2)(x +7)
y = x² -9x +6x - 54
y = x(x -9) +6(x -9)
y = (x +6)(x -9)
y = x² +6x +2x +12
y = x(x +6) +2(x +6)
y = (x +2)(x +6)
y = x² -6x -5x +30
y = x(x -6) -5(x -6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = x² +9x -x -9
y = x(x +9) -1(x +9)
y = (x -1)(x +9)
y = (x +4)(x -4)
Hence, the factored form of the given expressions are
y = (x -2)(x +7)
y = (x +6)(x -9)
y = (x +2)(x +6)
y = (x -5)(x -6)
y = (x +5)(x -5)
y = (x -1)(x +9)
y = (x +4)(x -4)
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6.05 is six and five hundredths in decimal form.
The Total surface area of the rectangular prism = 168 in.²
The Volume of the rectangular prism = 108 in.³
<h3>What is the Total Surface Area of a Rectangular Prism?</h3>
The total surface area of a rectangular prism is given as: SA = 2(wl + hl + hw), where:
w = width of the rectangular prism
h = height of the rectangular prism
l = length of the rectangular prism
<h3>
What is the Volume of a Rectangular Prism?</h3>
The volume of a rectangular prism = l × w × h
Find the Total surface area of the rectangular prism:
Length (l) = 9 in.
Width (w) = 2 in.
Height (h) = 6 in.
Total surface area of the rectangular prism = 2(wl+hl+hw) = 2·(2·9+6·9+6·2) = 168 in.²
Find the volume of the rectangular prism:
Length (l) = 9 in.
Width (w) = 2 in.
Height (h) = 6 in.
Volume of the rectangular prism = l × w × h = 9 × 2 × 6
Volume of the rectangular prism = 108 in.³
Learn more about the rectangular prism on:
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Write the ratio as a fraction in the fourth column of the table.
11/22,000 = 3/x
11x=66,000
x=6,000 (3/11 of 22,000)
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