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