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ser-zykov [4K]
2 years ago
12

The numbers on two consecutively numbered gym lockers have a sum of 141. What are the locker​ numbers?

Mathematics
2 answers:
lesantik [10]2 years ago
5 0

Answer:

70 and 71

Step-by-step explanation:

Consecutive means in a row

x is the first number

x+1 is the next number

x+ x+1 = 141

Combine like terms

2x+1 =141

Subtract 1 from each side

2x+1-1=141-1

2x= 140

Divide each side by 2

2x/2 =140/2

x = 70

The two lockers are 70,71

Grace [21]2 years ago
3 0

Answer:

70 and 71

Step-by-step explanation:

Let the two consecutive numbers be: x and x+1

x + x+1 = 141

2x + 1 = 141

2x = 140

x = 70

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Steps:

1) determine the domain

2) determine the extreme limits of the function

3) determine critical points (where the derivative is zero)

4) determine the intercepts with the axis

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7) graph: join the points with the best smooth curve

Solution:

1) domain

The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0

=> x > 3 <-------- domain

2) extreme limits of the function

Limit log (x - 3) when x → ∞ = ∞

Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote

3) critical points

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4) determine the intercepts with the axis

x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4

y-intercept: The function never intercepts the y-axis because x cannot not be 0.

5) do a table

 x                          y = log (x - 3)

limit x → 3+            - ∞

3.000000001        log (3.000000001 -3) = -9

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13                       log (13 - 3) = 1

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3 years ago
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Answer:

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Step-by-step explanation:

Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:

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#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:

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7 0
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Answer:

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The only value that is less that 0.14 is 0.13, making A the correct answer.

3 0
3 years ago
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