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-BARSIC- [3]
3 years ago
7

Write the equations after translating the graph of y = |x| one unit to the right

Mathematics
2 answers:
Viefleur [7K]3 years ago
7 0

Answer:

y = |x - 1|

Step-by-step explanation:

You should recognize that subtracting the x term should translate the graph to the right

marusya05 [52]3 years ago
5 0

Answer:

Step-by-step explanation:

y=|x-1|

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Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

6 0
3 years ago
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maw [93]

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Step-by-step explanation:

8 0
3 years ago
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balu736 [363]

Answer:

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6 0
3 years ago
Which ordered pair is in the solution set of the system of linear inequalities graphed below?
garik1379 [7]

Answer:

(1,-4)

Step-by-step explanation:

6 0
3 years ago
Help please! I’m confused!
Ivan

Answer:

1936

Step-by-step explanation:

x² + 87 = (x +1)²

x² + 1)² - x² =87

(x² + 2x +1) = 87

2x + 1 = 87 ⇒ x = 44

44² = 1936

8 0
3 years ago
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