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Akimi4 [234]
3 years ago
9

What does it mean to be a 'solution' to a function?

Mathematics
1 answer:
serg [7]3 years ago
8 0
A number is a solution when it fits within the range of answers that the function generates.
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The concession stand at football games sells pizza and drinks. You buy 4 drink and 6 slices of pizza for $6.70. Your friend buys
AfilCa [17]

Answer:

  • drinks: $0.55
  • pizza slices: $0.75

Step-by-step explanation:

Let d represent the cost of a drink, and p represent the cost of a pizza slice. Then the two purchases can be represented by ...

  • 4d +6p = 6.70
  • 3d +4p = 4.65

To solve these equations by elimination, choose a variable to eliminate and look at the coefficients of that in the two equations. If we choose to eliminate p, we see the coefficients of p are 6 and 4. The least common multiple of these numbers is 12. We can multiply the first equation by -2 and the second equation by +3 and the resulting coefficients of p will be -12 and +12. Adding the results of these multiplications will make the p terms add to zero.

  -2(4d +6p) +3(3d +4p) = -2(6.70) +3(4.65)

  -8d -12p +9d +12p = -13.40 +13.95 . . . . . . . . . eliminate parentheses

  d = 0.55 . . . . . . . . . collect terms

Now, we can substitute this value into either equation to find the value of p. Using the first equation, we get ...

  4(0.55) +6p = 6.70

  6p = 4.50 . . . . . . . . . subtract 2.20

  p = 0.75 . . . . . . . . . . divide by 6

The cost of a drink is $0.55; the cost of a slice of pizza is $0.75.

3 0
3 years ago
Read 2 more answers
What are two different ways you could find the value of a? Explain these methods.
Ulleksa [173]
See the attached figure to better understand the problem

we know that

1) First way to find the value of a
in the triangle ABC
<span>applying the Pythagorean theorem
AC</span>²=AB²+BC²--------> BC²=AC²-AB²-----> BC²=25²-15²-----> BC²=625-225
BC²=400--------> BC=20 units
a=BC
a=20 units

2) Second way to find the value of a

in the triangle ABD

AB²=AD²+BD²--------> BD²=AB²-AD²-----> BD²=15²-9²---> BD²=144
BD=12 units

in the triangle BDC
a=BC
BC²=BD²+DC²-----> 12²+16²----> 144+256------> BC²=400
BC=20 units
a=20 units

4 0
3 years ago
Read 2 more answers
2.) Tyler has a baseball bat that weighs 44 ounces. Find this weight in
ra1l [238]

Answer:

1.9 Kilograms.

Step-by-step explanation

To find the total, subtract 35 and 44, that equals 9. so take 35 from 44, Thats 1 kilo, plus the 9 extra. 1.9 Kilos

8 0
3 years ago
Read 2 more answers
What two numbers multiply to 120 and add to -26
Arisa [49]
The two numbers are -6 and -20

-20 x -6 = 120

-20 + (-6) = -26


3 0
3 years ago
There are two bowls. One of them has 60 gems and the other has 40 gems. Some of them are red. All the gems from the two bowls ar
uranmaximum [27]

Answer:

60/40

the awnser for the question is 3/2

5 0
3 years ago
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