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Ivahew [28]
3 years ago
12

Pls answer corectly ignore the teacher in the backruond

Mathematics
1 answer:
quester [9]3 years ago
7 0
What’s the question?
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Step-by-step explanation:

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Which ratio is equivalent to 4/16 A. 2:4•• B. 6 to 20 C. 8:32 D. 12 to 64 Write the ratio as a unit rate. 286 miles in 5 1/2 hou
NeX [460]
1) Which ratio is equivalent to [tex] \frac{4}{16} [tex]?
[tex] \frac{4}{16} * 2 = \frac{8}{32} [tex], or 8:32.

2) Write the ratio as a unit rate [tex] ( \frac{286miles}{5 \frac{1}{2} hours} ) [tex]
Set the equation up like this:
[tex] \frac{286miles}{5 \frac{1}{2} hours} = \frac{Xmiles}{1 hour}\\
286*1=(5 \frac{1}{2})*x\\
286 = \frac{11x}{2}\\
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6 0
3 years ago
S the expression x3•x3•x3 equivalent to x3•3•3
Artyom0805 [142]
Remember
(x^m)(x^n)=x^(m+n)
and difference of 2 perfect squres
(a²-b²)=(a-b)(a+b)
and sum or difference of 2 perfect cubes

so
(x^3)(x^3)(x^3)=x^(3+3+3)=x^9
so

x^9=3*3*x^3
x^9=9x^3
minus 9x^3 both sides
0=x^9-9x^3
factor
0=(x^3)(x^6-9)
factor difference of 2 perfect squraes
0=(x^3)(x^3-3)(x^3+3)
factor differnce or sum of 2 perfect cubes (force 3 into (∛3)³)
0=(x³)(x-∛3)(x²+x∛3+∛9)(x+∛3)(x²-x∛3+∛9)
set each to zero

x³=0
x=0

x-∛3=0
x=∛3

x²+x∛3+∛9=0 has no solution

x+∛3=0
x=-∛3

x²-x∛3+∛9=0 has no solution



so the solutions are
x=-∛3, 0, ∛3
3 0
4 years ago
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