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Oksi-84 [34.3K]
3 years ago
6

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

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

Option d is right

Step-by-step explanation:

A function is called one to one if two x will not have same y value.

In other words, in the domain each x is matched with a unique y and if x1 not equals x2 we have the corresponding y1 will not be equal to y2.

In the graph given, we find that the y value say 1 has preimages in both to the right of y axis and to the left of y axis.

Hence this is not one to one.

This is a function because each x has a unique image. If we draw a vertical line in any part of the graph we find that it  cuts only one time the graph of f(x)

Hence f is a function but not one to one.  A one to one function need not pass through the origin.

Hence we find that of the options given, a,b and c are wrong.

But option d is right.

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For the equations given below, which statement is true?
allochka39001 [22]

Answer: C. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.

Step-by-step explanation:

You know that the first equation is:

-3x-8=19

And the second equation is:

-3x-2=25

According to the Addition property of equality:

If a=b; then a+c=b+c

Then, you can add 6 to both sides of the first equation to keep it balanced. Then, you get:

-3x-8=19\\\\-3x-8+(6)=19+(6)

-3x-2=25

Therefore, you can observe that the second equation can be obtained by adding 6 to both sides of the first equation, therefore, the equations have the same solution.

If you want to verify this, you can solve for "x" from both equations:

- First equation:

-3x-8=19\\\\-3x=19+8\\\\x=\frac{27}{-3}\\\\x=-9

- Second equation:

-3x-2=25\\\\-3x=25+2\\\\x=\frac{27}{-3}\\\\x=-9

5 0
3 years ago
Russell runs 9/10 mile in 5 minutes. At this rate, how many miles can he run in one minute?
miss Akunina [59]
9/50 is the answer I think!

I converted 9/10 to decimal to make it easier for me to solve and got 0.9

I divided 0.9 by 5 and got 0.18

I converted 0.18 to fraction and got 9/50
7 0
3 years ago
Which sum of difference is equivalent to the following expression? 5-3x/5
Aleks04 [339]

Answer:

1-3x/5

Give me brainiest

Step-by-step explanation:

7 0
3 years ago
A loan of $900 will be repaid in 36 installment of $30.22 each .what is the finance charge for the loan
Marat540 [252]

i hope this is what you are looking for but 36 times 30.22 equals 1087.92 subtract from 900 which is $187.92

<h2>$187.92 for finance charge for loan</h2>
8 0
3 years ago
A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop
lesantik [10]

Answer:

The number of distinct arrangements is <em>12600</em><em>.</em>

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

n!/(n₁! n₂! n₃! ... nₓ!)

where

  • n₁, n₂, n₃ ... is the number of arrangements for each object
  • n is the number of objects
  • nₓ is the number of arrangements for the last object

In this case

  • n₁ is the identical copies of Hamlet
  • n₂ is the identical copies of Macbeth
  • n₃ is the identical copies of Romeo and Juliet
  • nₓ = n₄ is the one copy of Midsummer's Night Dream

Therefore,

<em>Number of distinct arrangements =  10!/(4! × 3! × 2! × 1!)</em>

<em>                                                         = </em><em>12600 ways</em>

<em />

Thus, the number of distinct arrangements is <em>12600</em><em>.</em>

4 0
3 years ago
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