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Komok [63]
3 years ago
14

What polynomial should be subtracted from the polynomial y2–5y+1 to get the difference equal to 5

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer: The polynomial

= y² - 5y - 4.

Step-by-step explanation:

Let the polynomial = f(y)

Therefore

y² -5y + 1 - f(y) = 5

f(y) = y² - 5y + 1 - 5

f(y) = y² - 5y - 4

The polynomial = y² - 5y - 4.

Check:

y² - 5y + 1 - ( y² - 5y - 4)

Open the bracket with the minus

y² - 5y + 1 - y² + 5y + 4

y² - y² - 5y + 5y + 1 + 4

= 0 - 0 + 5

= 5.

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7 0
3 years ago
4 (x+1 ) + 7(x+3) + 6(y +2) =
Korvikt [17]

Answer:

11x + 6y + 37

Step-by-step explanation:

  • (4)(x) + (4)(1) + (7)(x) + (7)(3) + (6)(y) + (6)(2)
  • 4x + 4 + 7x + 21 + 6y + 12
  • (4x+7x) + (6y) + (4+21+12)
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5 0
3 years ago
Find a counterexample to disprove the statement "The Associative Property is true for division."
MaRussiya [10]
The associative property makes it so whichever which way the numbers are the answer will be the same but as shown in the picture this isn't true for this statement because the answers become completely different depending on where the numbers are in the equation.
6 divided by 3 is NOT equal to 3 divided by 6 which disproves that property.

5 0
3 years ago
A fair coin is flipped two times. Which diagram shows all of the possible outcomes?
kirza4 [7]

Answer:

A

Step-by-step explanation:

It is the only one that has both heads and tails equally on all options, instead of heads heads or tails tails. There aren't any fair coins that are like that

hope this helps :)

6 0
2 years ago
Use the drop-down menus to complete the statements about the function p(x) = x(x – 1) + 1. The value of a is . The value of b is
Ludmilka [50]

Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the  x-axis.

Explanation:

The standard form of a quadratic equation is,

p(x)=ax^2+bx+c

The given function is,

p(x)=x(x-1)+1

It can be written as,

p(x)=x^2-x+1

By comparing this equation with the standard form of quadratic equation. we get,

a=1

b=-1

c=1

The formula for discriminant is,

D=b^2-4ac

D=(-1)^2-4(1)(1)

D=1-4

D=-3

The value of the discriminant is -3.

If D<0, it means the function have no real roots.

If D=0, it means function have one real roots.

If D>0, it means function have two real roots.

Since D<0 it means the function have no real roots. So the function will not intersect the x-axis at any point.

8 0
3 years ago
Read 2 more answers
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