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Sindrei [870]
3 years ago
8

Given the graph below, which of the following statements is true?

Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer: D.

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

Step-by-step explanation:

Looking at the graph included in the answer, the graph is connected between four points.

It starts with a negative slope, then changes to a positive slope after (-2, 0), and then changes back to a negative slope after (2, 2).

To answer this, first we need to know what a one-to-one function is.

A one-to-one function is any function that only has one x-coordinate for every y-coordinate. If a function has two x-coordinates for one y-coordinate (for example, (5, 4) and (10, 4)), then the function is not one-to-one.

An example of a one-to-one function is the graph of y = x.

There is only one x-coordinate for every y-coordinate on the graph.

<em>You can use the "horizontal line" test to determine whether a function is one-to-one.</em> If a horizontal line is placed anywhere on a graph and intersects the function more than once, the function is not one-to-one

For the function given:

When a horizontal line is placed at "y = 1", it intersects the function three times. This means that the function IS NOT one-to-one.

Choice D is correct.

The coordinates between y = 0 and y = 2 are paired with multiple x-values, and this correctly explains why the function is not one-to-one.

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blagie [28]
38.95-11.98=26.97
26.97/3=$8.99
3 0
3 years ago
Man Street Florist charges
Digiron [165]

Answer:

2 dozens, $41

Step-by-step explanation:

Given data

Man Street Florist charges

$18 for a dozen roses and a

$5 delivery fee

let the number of dozens be x

and the total charge for x dozens be y

hence

y= 18x+5--------------1

Blooms and Bouquets

charges $20 for a

dozen roses and a $1

delivery fee.

let the number of dozens be x

and the total charge for x dozens be y

hence

y= 20x+1 -------------2

Equate 1 and 2 we have

18x+5=20x+1

20x-18x= 5-1

2x= 4

x= 4/2

x= 2

Hence the number of dozens is 2

the cost is (put x= 2 in eqn 1 or 2)

y= 20(2)+1

y= 40+1

y= $41

6 0
2 years ago
melissa purchased a car at the price of 20,540 with a down payment of 3,900 and financed the rest paying 8.6% interest compounde
DaniilM [7]

Answer:

$478.06

Step-by-step explanation:

let's first start out by figuring out the present value of the loan

((20540*1.0825)+955+57)-3900

Which gives me a value of 23246.55

I'm then going to assume that the 8.6% is a nominal interest rate meaning that the effectively monthly rate is equal to .086/12=.0072

Which means we have

23246.55=X(a angle 60 at .0072) (i'm using annuities to solve this if you don't know what this is just ask)

Solve this and get $478.06

6 0
2 years ago
Evaluate the summation of 25 times 0.3 to the n plus 1 power, from n equals 2 to 10..
makkiz [27]
\bf \sum\limits_{n=2}^{10}\ 25(0.3^{n+1})   \quad ?  <--- is that it?
5 0
2 years ago
Sydawna has two part-time jobs. Her earnings for one week are represented by the equation: E = 9.25g + 10.50t
Iteru [2.4K]

Answer:

  • 9 hours

Step-by-step explanation:

<u>Given the equation: </u>

  • E = 9.25g + 10.50t
  • E - weekly total, g- number of hours at gas station, t- number of hours at toy store.

<u>Substitute given values into equation and solve for the missing one:</u>

  • 219.75 = 9.25g + 10.5*13
  • 219.75 = 9.25g + 136.5
  • 9.25g = 219.75 - 136.5
  • 9.25g = 83.25
  • g = 83.25/9.25
  • g = 9

Sydawna works 9 hours at the gas station

4 0
2 years ago
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