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Leona [35]
3 years ago
10

Which equation best represents the line graphed above?

Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

Answer: x=2 because for any y value the x value is always 2.

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Which of the following functions is graphed below?(:
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The answer would be C because in an equation of y = | x - k | + b, you take the value outside of the abs. val. bars and shift it vertically that amount, but you take k and shift it to the negative of that value horizontally.

so basically your graph is |x| shifted 5 to the right and 4 down. this means that k would be -5 (since the shift is the k value times negative one), and b would be 4. therefore y = | x - (-5) | -5, which is equivalent to C
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Mr. Akika has 30 24-cent and 33-cent stamps all told. The stamps are worth $8.91. How many of each kind of stamp does he have?
riadik2000 [5.3K]

Answer:

  • 24-cent: 11
  • 33-cent: 19

Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

  33x +24(30 -x) = 891

  9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms

  x = 19 . . . . . . . . . . . . divide by 9

  30-x = 11 . . . . . . . find the number of 24-cent stamps

Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.

_____

<em>Additional comment</em>

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

  v2(x) +v1(N -x) = V

  x(v2 -v1) = V -v1·N

  x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

  x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above

7 0
3 years ago
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