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krek1111 [17]
2 years ago
12

A phone plan charges an initial fee of $40 plus $.40 per minute. Which function equation represents this problem?

Mathematics
1 answer:
MrRissso [65]2 years ago
7 0
It’s the first option! f(x)= .40x + 40
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Find the smallest positive integer k such that 3240/k is a square number
sashaice [31]

Answer:

10

Step-by-step explanation:

First, factorize the number 3,240:

3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2

So,

3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10

Now consider the fraction

\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}

If k = 10, then

\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

  • k = 1, \dfrac{3,240}{1}=3,240 is not a square number;
  • k = 2, \dfrac{3,240}{2}=1,620 is not a square number;
  • k = 3, \dfrac{3,240}{3}=1,080 is not a square number;
  • k = 4, \dfrac{3,240}{4}=810 is not a square number;
  • k = 5, \dfrac{3,240}{5}=648 is not a square number;
  • k = 6, \dfrac{3,240}{6}=540 is not a square number;
  • k = 7, \dfrac{3,240}{7} is not a square number;
  • k = 8, \dfrac{3,240}{8}=405 is not a square number;
  • k = 9, \dfrac{3,240}{9}=360 is not a square number.
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3 years ago
Susie scored 85, 84,and 78 on three of the four math tests. if her average score for the four tests was 86. what was her score o
nata0808 [166]
(85 + 84 + 78 + x) / 4 = 86
(247 + x) / 4 = 86
247 + x = 86 * 4
247 + x = 344
x = 344 - 247
x = 97 <=== her score was 97
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Step-by-step explanation:

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its 12 juss round 12

Step-by-step explanation:

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