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hichkok12 [17]
2 years ago
7

When solving for the value x in the equation 4(x-1) +6= 18, aaron wrote the following lines on the board:

Mathematics
1 answer:
iren [92.7K]2 years ago
8 0

Answer:

The Distributive Property.

Step-by-step explanation:

4(x - 1) = 12

When distributing out the 4, it must go to all the terms within the brackets like this:

4x - 4 = 12.

4x = 16

x = 4.

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Answer: (y - 2) (y -3)

Step-by-step explanation:

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The answer is 120 degrees.

Step-by-step explanation:

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Answer:


Step-by-step explanation:

Problem One (left panel)

<em><u>Question A</u></em>

  • The y intercept happens when x = 0
  • That being said, the y intercept is 50. It was moving when the timing began.

<em><u>Question B</u></em>

The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2  miles / hour^2 (you have a slight acceleration.

<em><u>Question C</u></em>

  • 60 = a + (n-1)d
  • 60 =  50 + (n - 1)*2
  • 10/2 = (n - 1)*2/2
  • 5 = n - 1
  • 6 = n

The way I have done it the domain is n from 1 to 6

Question 2 (Right Panel)

<em><u>Question A</u></em>

The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.

  • f(0) = ax + b
  • -3 = a*0) + b
  • b = - 3
  • So far what you have is
  • f(x) = ax - 3
  • f(-1) = a*(-1) - 3           but we know (f(-1)) = -6
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  • -6 +3 = a(-1) -3 + 3
  • -3 = a*(-1)                  Divide by - 1
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  • The slope of f(x) = the coefficient in front of the x
  • f(x) has a slope of 3
  • g(x) has a slope of 4

<em><u>Part B</u></em>

  • f(x) has a y intercept of - 3
  • g(x) has a y intercept of -5
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7 0
3 years ago
2. Which is equal to log6?
horrorfan [7]
<span>The Value of Log(6) = 0.77815125 the values given in different forms of Log are independent from each other and thus do not match any of the other listed values.</span>
3 0
3 years ago
Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you d
Sunny_sXe [5.5K]

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months

Therefore, it will take 88.2 months to accumulate the amount.

7 0
3 years ago
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