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artcher [175]
3 years ago
13

Which of the following relations has an inverse that is not a function?

Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0

Answer:

Option B is correct.

The relation which has an inverse that is not a function is :(1, 2), (1, 3), (4, 3)

Step-by-step explanation:

Inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function.

Let f(x) ={(1, 2), (1, 3), (4, 3)}

To find the inverse:

Inverse of f(x)=g(x)= {(2, 1), (3, 1), (3, 4)}

Function states that a relation in which each input value has only one output value.

Since, g(x) is not a function because the input 3 has multiple output values,.

Therefore, the only relation which has an inverse that is not a function is :(1, 2), (1, 3), (4, 3)



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On average, a gym claims that 85% of its members renew their memberships every year. If the gym has 400 members, predict how man
lana [24]

Answer:

340 people would renew their membership if the gym had 400 members

The gym's claim is not accurate, because the prediction should be 340 people instead of 330

Step-by-step explanation:

With 400 members, we can predict how many will renew their membership by multiplying 400 by 0.85:

400(0.85)

= 340

So, this would predict that 340 people would renew their membership.

The gym's claim that 330 members would renew their memberships is not accurate, because the correct prediction should be 340 people.

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3 years ago
The attendance at a family reunion was 160 people. This was 125% of last year's attendance. How many people attended the reunion
Alex787 [66]
If you would like to know how many people attended the reunion last year, you can calculate this using the following steps:

125% of last year's attendance is 160 people
125% of x is 160
125% * x = 160
125/100 * x = 160     /*100/125
x = 160 * 100 / 125
x = 128 people (last year)

Result: 128 people attended the reunion last year.
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storchak [24]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Q # 4 Simplify the product
timama [110]
For this case we have the following product:
 (x-4) (x + 3)

 We must use the distributive property correctly to solve the problem.
 We have then:
 x ^ 2 + 3x - 4x - 12

 Then, we must add similar terms.
 We have then:
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8 0
3 years ago
The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)
Virty [35]

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is a_n.

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

a_1=9.5+2(1-1)

a_1=9.5+2(0)

a_1=9.5+0

a_1=9.5

Let n=2:

a_2=9.5+2(2-1)

a_2=9.5+2(1)

a_2=9.5+2

a_2=11.5

Let n=3:

a_3=9.5+2(3-1)

a_3=9.5+2(2)

a_3=9.5+4

a_3=13.5

Let n=4:

a_4=9.5+2(4-1)

a_4=9.5+2(3)

a_4=9.5+6

a_4=15.5

Let n=5:

a_5=9.5+2(5-1)

a_5=9.5+2(4)

a_5=9.5+8

a_5=17.5

Let n=6:

a_6=9.5+2(6-1)

a_6=9.5+2(5)

a_6=9.5+10

a_6=19.5

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

5 0
3 years ago
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