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4 years ago

What polynomial should be subtracted from the polynomial y^2–5y+1 to get the difference equal to 4y^2-y+7

Mathematics

1 answer:

kolezko [41]4 years ago

3 0

Y^2-5y+1- a= 4y^2-y+7

a=y^2- 4y^2-5y+y+1-7

a= -3 y^2 - 4y - 6 this is the polynomial

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How to break down 4/5 + 13/15 = 1 2/3

nalin [4]

Answer:

Step-by-step explanation:

The left hand side of the equation contains proper fractions while the right hand side of the equation contains mixed fraction. The mixed fraction can be changed to improper fraction. 1 2/3 becomes 5/3

To breakdown the left hand side of the equation, we would take lowest common factor of 5 and 15. It is 15

Considering 4/5, if 15 divides 5,the result is 3. Multiplying 3 by 4 gives 12. So it becomes

12/15

Considering 13/15, if 15 divides 15,the result is 1, Multiplying 1 by 13 gives 13. So it becomes

13/15

The equation becomes

(12 + 13)/15 = 5/3

25/15 = 5/3

Simplifying 25/15 to its lowest terms, it becomes 5/3 so

5/3 = 5/3

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3 years ago

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Solve the equation. –3x + 1 + 10x = x + 4 x = 1/2 x = 5/6 x = 12 x = 18

elena-s [515]

The correct answer is x=1/2

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3 years ago

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Pls help me and can you give tips on exponents??!

Marina CMI [18]

Answer:

Basically, exponents represent the number of times you multiply that number by itself. For example, 3² = 9, because you multiply 3 times 3.

Step-by-step explanation:

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3 years ago

A student’s first step to solving the equation 5(x – 2) = 10 was to simplify it to 5x – 2 = 10. Did the student make a mistake?

Dafna11 [192]

Yes, he forgot to distribute all the terms.

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4 years ago

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NEED THE ANSWER ASAP, PLEASE HELP!! What are the coordinates of the focus of the parabola?

qwelly [4]

Answer:

Vertex is (-8, 4) not one of the answers offered!

Step-by-step explanation:

Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.

$y=-\frac{1}{8}(x^2 + 16x + \text{-----})-4$

Complete the square by squaring half the coefficient of x and adding it in the space.

$(\frac{16}{2})^2=64$

Add 64 in the space you made, then compensate for that at the end of the expression by subtracting $-\frac{1}{8}(64)=-8$

$y=-\frac{1}{8}(x^2+16x+64)-4+8\\y=-\frac{1}{8}(x+8)^2+4$

The x-coordinate of the vertex is the opposite of +8, the number inside the parentheses. The y-coordinate of the vertex is the number at the end of the expression.

V(-8, 4)

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3 years ago