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ollegr [7]
3 years ago
14

Explain why a graph that fails the vertical-line test does not represent a function

Mathematics
1 answer:
Anon25 [30]3 years ago
5 0
For any given y value, there can only be one x value. Let's consider a graph with a line that curves and intersects x=2 twice. This would mean that if you plug 2 into the function you would get two answers. However, this is not possible as plugging in any value to x will result in only one answer. For example, if y= 4x + 3, no matter how many times I plug a number in there, I'm always going to get the same y value, and this is true for all real functions.
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Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the co
laila [671]
For the answer to the two questions above,
3x + 2y = 36.50 (I)
2x + 5y = 50 (II)
Eliminating x from the two equations by subtraction:
first we multiply equation I by 2 and equation II by 3
6x + 4y = 73
6x + 15y = 150
Subtracting the two,
-11y = -77
y = 7
He earns $7 at the coffee cart
Substituting y into equation I,
3x + 14 = 36.5
x = $7.50

So we can conclude that, he earns a greater wage of $7.50 at the library,
6 0
3 years ago
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The ratio of the number of people who own a cat to the number of people who own a dog is 5:7. If there are 12 more people who ow
topjm [15]

Answer:

30 people own a cat

Step-by-step explanation:

6 0
3 years ago
Please help me, I don't know how to do this...
Lunna [17]

Answer:

  A.  5

Step-by-step explanation:

The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.

  (x +1)^2 +x^2 = (√61)^2

  x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses

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  x^2 +x -30 = 0 . . . . . divide by 2, subtract 30

  (x +6)(x -5) = 0 . . . . factor the quadratic

  x = -6 or +5

The solution is x = 5.

_____

Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.

8 0
2 years ago
For this question, f(x) = 4kx2 + (4k + 2)x + 1, where k is a real constant.
snow_tiger [21]

Answer:

fghhjhhfgkus+($+#($!?$)

6 0
2 years ago
Identify the number of terms in the expression. Type the answer in the space provided.
nadya68 [22]

Answer:

Step-by-step explanation:

Terms are separated from one another by + and/or - signs.  In this case neither appears, so the given expression constitutes a single term.

3 0
3 years ago
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