Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Find a value for y for which the expression (1-y)(3-y)(6-y) has each given value

i. -70

ii. 120

Sagot :

[tex]\\ \tt\Rrightarrow (1-y)(3-y)(6-y)=-70[/tex]

[tex]\\ \tt\Rrightarrow -y(1+1)(3+1)(6+1)=-70[/tex]

[tex]\\ \tt\Rrightarrow y(2)(4)(7)=70[/tex]

[tex]\\ \tt\Rrightarrow y(56)=70[/tex]

[tex]\\ \tt\Rrightarrow y=\dfrac{70}{56}[/tex]

[tex]\\ \tt\Rrightarrow y=\dfrac{5}{4}[/tex]

#2

[tex]\\ \tt\Rrightarrow (1-y)(3-y)(6-y)=120[/tex]

[tex]\\ \tt\Rrightarrow -y(1+1)(3+1)(6+1)=120[/tex]

[tex]\\ \tt\Rrightarrow -y(2)(4)(7)=120[/tex]

[tex]\\ \tt\Rrightarrow 56y=-120[/tex]

[tex]\\ \tt\Rrightarrow y=\dfrac{-120}{56}[/tex]

[tex]\\ \tt\Rrightarrow y=\dfrac{-15}{7}[/tex]

mhanifa

Answer:

  • i. y = 8, ii. y = -2

Step-by-step explanation:

  • (1 - y)(3 - y)(6 - y) = -70

We can see the divisors are 2 and 3 apart.

i.

Factorize -70 so that divisors are 2 and 3 apart:

  • - 70 = (- 2)*(- 5)*(- 7)

The smallest one is 1 - y and -7:

  • 1 - y = -7
  • y = 1 + 7
  • y = 8

ii

Factorize 120 so that divisors are 2 and 3 apart:

  • 120 = 3*5*8

The smallest one is 1 - y and 3:

  • 1 - y = 3
  • y = 1 - 3
  • y = -2
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.