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Masja [62]
4 years ago
12

Easy Bucks... For what values of y does the binomial 3y−5 belong to the interval (−1; 1)?

Mathematics
2 answers:
scoundrel [369]4 years ago
7 0

Answer:

y\in(\frac{4}{3},2)

Step-by-step explanation:

We are given that a binomial

3y-5

We have to find the value of y for which binomial belongs to the interval (-1,1).

In order to find the value of y we will substitute binomial equal to zero.

3y-5=0

3y=5

y=\frac{5}{3}

When we substitute y=\frac{5}{3} then binomial belongs to given interval because 0 lies between -1 and 1.

If substitute3y-5=-1

Then, we get 3y=-1+5=4

y=\frac{4}{3}

When we substitute 3y-5=1 then we get

3y=1+5=6

y=\frac{6}{3}=2

If the value of y lies between \frac{4}{3} and 2 then the binomial belongs to interval (-1,1).

kati45 [8]4 years ago
3 0

3y-5 = -1

3y=4

y = 4/3


3y-5 = 1

3y = 6

y = 2


y must be between 4/3  and 2

y must be between 1  1/3 and 2

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4 0
3 years ago
Divide 4 2/3 & 3 1/3. Simplify the answer and write it as a mixed number.
Leto [7]

Answer:

4 2/3 ÷ 3 1/3= 1 2/5

Step-by-step explanation:

First, you turn the mixed terms into an improper fraction like this

4 2/3 → 14/3 because when you multiply 4 times 3 equaling 12 then having 2 then adding that you get 14/3.

3 1/3 → 10/3 because when you multiply 3*3=9 then having 1 and adding that you get 10/3.

Then, you do KCF which stands for <u>Keep Change Flip</u> so for this you would do: 14/3 ÷ 10/3 → 14/3 × 3/10

14 × 3 = 42 and 3 × 10= 30

Now being 42/30 this is considered an improper fraction in which you have to transform it into a mixed number like this:

(For this you need to find the greatest common factor)

42/30 →  42 and 30 greatest common factor is 6 because they are divisible and factor of 6.

Now you divide both the denominator and the numerator y 6 like this:

42 ÷ 6= 7

30 ÷ 6= 5

Now we have 7/5, this is still an improper number so we see how many times 7 can go to 5 which is once. So we have 1 as whole number, now we put the reminder as the numenator of the mix fraction keeping 5 as being the denominator.

Overall, We have our answer 1 2/5

I hope this helps :D  

7 0
3 years ago
Solve each equation for the indicated variable g=a+c+b,for a
Mariulka [41]

Answer:

a= g-b-c

Step-by-step explanation:

g=a+c+b

g-b=a+c

g-b-c= a

a= g-b-c

3 0
4 years ago
Need help ASAP. Last two problems on my study guide, can't seem to solve them?
Dimas [21]

Answer:

9) 4

10) p¹⁵/q⁹        

Step-by-step explanation:

9)

As per the law of indices, (xᵃ)ᵇ=xᵃᵇ.

So divide 8 by 2 to get 4

10)

p(p⁻⁷q³)⁻²q⁻³

p(p¹⁴q⁻⁶)q⁻³       <em>(because (xᵃ)ᵇ=xᵃᵇ)</em>

pq⁻³(p¹⁴q⁻⁶)

p¹⁵q⁻⁹

p¹⁵/q⁹                <em>(because x⁻ᵃ =1 /xᵃ)</em>

4 0
3 years ago
Are these ratios equivalent?
krek1111 [17]

Answer:

Yes

Step-by-step explanation:

If you multiple 1/3 by 3/3 you would get 3/18

8 0
4 years ago
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