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Makovka662 [10]
2 years ago
8

Answers for the 2 boxes please ​

Mathematics
1 answer:
maxonik [38]2 years ago
8 0

Answer:

(-3,-6)

Step-by-step explanation:

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Please help! I will give 50 points and brainliest.
QveST [7]

Answer:

Step-by-step explanation:

f * g = (x^2 + 3x - 4) (x+4)

open bracket

x((x^2 + 3x - 4) + 4 (x^2 + 3x - 4)

x³ +3x²-4x+x²+12x-16

x³+3x²+x²-4x+12x-16

x³+4x²+8x-16 (domain is all real numbers.

f/g = (x^2 + 3x - 4)/(x+4)

factorising (x^2 + 3x - 4)

x²+4x-x_4

x(x+4) -1 (x+4)

(x+4)(x-1)

f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)

Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.

Hence I got x - 1, and x cannot equal -4

 So the domain is just all real numbers without -4

8 0
2 years ago
PLEASE HELP ME
myrzilka [38]
Mike's withdrawals will be treated as negative numbers.

Since Mike withdrew $60 three times, use the following equation to find the change in his balance:

-60 * 3 = -180

The change in Mike's account balance will be -$180.
6 0
2 years ago
Read 2 more answers
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
WILL MARK YOU BRAINLIEST HELP ASAP
Marat540 [252]

Answer:

I believe it is c> 34

Step-by-step explanation:

Correct me if i'm wrong

6 0
2 years ago
Read 2 more answers
A military aircraft can travel 740 miles per hour. The distance between Tyndall Air Force Base in Florida and Lakenheath Air For
BARSIC [14]

Answer: 3.5 h

Step-by-step explanation:

<u>1. Data:</u>

a) s = 740 miles / h

b) d = 2,567 miles

c) t = ?

<u>2. Equation:</u>

  • speed = distance / time
  • s = d / t

<u>3. Solution:</u>

  • Solve the equation for t:

        s = d / t ⇒ t = d / s

  • Substitute values:

        t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h

   

5 0
2 years ago
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