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exis [7]
3 years ago
8

Construct a quadratic polynomial whose zeroes are negatives of the zeroes of the

Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

Given:

The given quadratic polynomial is :

x^2-x-12

To find:

The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.

Solution:

We have,

x^2-x-12

Equate the polynomial with 0 to find the zeroes.

x^2-x-12=0

Splitting the middle term, we get

x^2-4x+3x-12=0

x(x-4)+3(x-4)=0

(x+3)(x-4)=0

x=-3,4

The zeroes of the given polynomial are -3 and 4.

The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.

A quadratic polynomial is defined as:

x^2-(\text{Sum of zeroes})x+\text{Product of zeroes}

x^2-(3+(-4))x+(3)(-4)

x^2-(-1)x+(-12)

x^2+x-12

Therefore, the required polynomial is x^2+x-12.

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I = $60, P = $750, r = 4%, t = ?. Find the amount of time
Anuta_ua [19.1K]

Answer:

The time required to  accumulate simple interest of $ 60.00

from a principal of $ 750.00  at an interest rate of 4% per year  is 2 years.

Step-by-step explanation:

Given

  • Interest I = $60
  • Principle P =  $750
  • Interest rate r = 4% = 0.04

To determine

Time period t = ?

Using the formula

I = Prt

t = I / Pr

substitute I = $60, P = $750 and r = 0.04 in the equation

t = 60 / ( 750 × 0.04 )

t = 2  years

Therefore, the time required to  accumulate simple interest of $ 60.00

from a principal of $ 750.00  at an interest rate of 4% per year  is 2 years.

5 0
2 years ago
What's the area of a square picture with 16 inch sides
Vikentia [17]
To find the area of a square picture with 16 inch sides, we must use the formula for the area of a square: A=s^2, where s represents the value of the side length of the square.  

To solve, we must plug in the given side length of 16 inches into the formula.

A = (16 inches)^2
A= 256 inches^2

Therefore, your answer is 256 inches^2.  

Hope this helps!
7 0
3 years ago
Read 2 more answers
|6m|=42 please help me with absolute value
ANTONII [103]
Since there is nothing on the left side of the equation besides the absolute value, you have to take 6m out of the absolute value and create 2 separate equations. These 2 equation will be 6m = 42 and 6m = -42.

You solve the equations normally:
6m = 42     6m = -42     (inverse to get m by itself, do on both sides)
/6      /6      /6       /6

  m = 7        m = -7


The answer is a solution set:
[7, -7]

3 0
3 years ago
A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an eq
Nitella [24]

Answer: 2x^2-7x=72 , where  x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length =  2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

\Rightarrow\ 2x^2-7x=72

Hence, the equation that represents the given situation :

2x^2-7x=72

7 0
3 years ago
The average of three different positive integers is 8. What is the largest integer that could be one of them.
Trava [24]
Supposing that the integers are x, y and z, and that their average is 8, then

x+y+z
-------- = 8, or x + y + z = 24.
    3

Let's experiment.    Making up a table, we get:

x   y   z   sum (sum MUST be 24)
5  9  10    24
4  9   11    24
3  10  11   24
2   11 11    24
1   11  12   24
1   10  13   24
1    1   22   24

Can't choose integers smaller than 1, so it appears that 22 is the largest possible integer that could be one of x, y and z.
7 0
3 years ago
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