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juin [17]
3 years ago
9

Can you answer these please

Mathematics
1 answer:
blondinia [14]3 years ago
8 0
14.
16x^6+22x^2+30x^5
\\2x^2(8x^4+11+15x^3)
\\\\GCF=2x^2
\\\\15.
\\\\(7v^3-10v^2+9v^4)
\\v^2(7v-10+9v^2)
\\\\GCF=v^2

16.
x² +17x + 72
(x + 9)(x + 8)
x + 9 =  0           ∧         x + 8 = 0
x = -9                 ∧         x  = -8

17.
4v² - 16v + 7

Break the expression into groups

(4v² - 2v) + (-14v + 7)

Factor out 2v from 4v² - 2v and factor out -7 from -14v + 7

2v (2v - 1) - 7 (2v - 1)

(2v - 1) (2v - 7)
2v - 1 = 0                   ∧              2v - 7 = 0
2v = 1                        ∧              2v = 7
v = \frac{1}{2}                ∧     v =  \frac{7}{2}

18.
n² - 16n + 64
(n - 8) (n - 8)
n = 8     ∧   n = 8

19.
6t² - 54

Factor out the common term 6

6 (t² - 9)

Factor (t² - 9)

6 (t² - 9)
6 (t + 3) (t - 3)
t = -3 * 6              ∨            t = 3 * 6
t = -18                 ∨            t = 18

20.
y² - 121 
(y - 11) (y + 11)
y = 11                  ∧           y =  -11
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Divide 42 in a ratio of 1:2:3?
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Ratio 1:2:3 means we have x, 2x and 3x as the three parts

x+2x+3x = 42
6x = 42
6x/6 = 42/6
x = 7

Since x = 7, this means 2x = 2*7 = 14 and 3x = 3*7 = 21

Dividing 42 into the ratio of 1:2:3 means we have 7:14:21 as the answer

If we divide all three parts of 7:14:21 by the GCF 7, we reduce it down to 1:2:3

As a check, 
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so it works out
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