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Furkat [3]
4 years ago
5

 Drew wrote the

Mathematics
1 answer:
Fiesta28 [93]4 years ago
4 0
Every number consists of digits. One digit is the least number of digits a number can have. The place value is the position of each digit in a number. <span>Digits are separated into groups of three by commas. So, a period is a group of three digits, but not any three digits. So, Drew's sentence is false. A period is a group of consecutive digits.</span>
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Answer:

  • 21 hours in May, 63 hours in June

Step-by-step explanation:

<h3>Set up equations</h3>
  • m - May, j - June
  • m + j = 84
  • m = 1/3j
<h3>Solve by substitution, fin the value of j</h3>
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  • j = 84*3/4
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<h3>Find m</h3>
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Answer:

\huge\boxed{(2,\ 3);\ (-1,\ 6)}

Step-by-step explanation:

f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right

substitute (1) to (2):

x^2-2x+3=-x+5     add x to both sides

x^2-2x+x+3=-x+x+5

x^2-x+3=5        subtract 5 from both sides

x^2-x+3-5=5-5

x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}

substitute the values of x to (2):

x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}

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Step-by-step explanation:

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