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levacccp [35]
3 years ago
13

The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?

Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0

Answer:

Step-by-step explanation:

If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of y^2-10y+24=0 is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.

If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:

4|   1    -10     24

____________

The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:

4|   1     -10     24

<u>              4           </u>

     1

Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:

4|    1     -10     24

<u>                4    -24</u>

      1      -6

And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.

Therefore, the 2 factors that multiply together to give us y^2-10y+24=0 are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!

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The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Lina20 [59]

Answer:

<h3>⇒ A. 2 should be distributed as 2y + 12, y = 6</h3>

Step-by-step explanation:

Here are the steps to solve this equation:

<u>Given:</u>

First step: 2(y+6)-4y

Use the distributive property.

<u>Distributive property:</u>

<h3>⇒ A(B+C)=AB+AC</h3>

2(y+6)

2*y=2y

2*6=12

2y+12

Isolate the term of y from one side of the equations.

2y+12=4y

Subtract by 12 from both sides.

2y+12-12=4y-12

Solve.

2y=4y-12

Then, you subtract by 4y from both sides.

2y-4y=4y-12-4y

Solve.

2y-4y=-2y

-2y=-12

Divide by -2 from both sides.

\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}

Solve.

Divide the numbers from left to right.

<u>Solutions:</u>

-12/-2=6

\Longrightarrow: \boxed{\sf{y=6}}

  • <u>Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".</u>

I hope this helps. Let me know if you have any questions.

4 0
2 years ago
Kaley cuts half of a loaf of bread into 4 equal parts what fractons of the whole loaf dose each of the 4 parts reperzent
saveliy_v [14]
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3 years ago
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There were 239 people at Travis Scott concert.Admission to get the drive in concert was $15 for adults and $5.50 for children th
svlad2 [7]

Answer: There are 152 adults and 87 children.

Step-by-step explanation:

Let x= Number of adults

y= Number of children

As per given, we have

x+y = 239                 (i)

15x+5.50y= 2758.50              (ii)

Multiply 5.50 on both sides of (i) , we get

5.50x+5.50y=1314.5             (iii)

Subtract (iii)  from (ii), we get

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Put value of x in (i) , we get

152+y=239

⇒ y= 239-152

⇒ y= 87

Hence, there are 152 adults and 87 children.

3 0
2 years ago
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Komok [63]
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saul85 [17]

Answer:

10/24 and 15/36, more answers possible

Step-by-step explanation:

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5/12, multiply both by three, and you have 15/36

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