Answer:
12x^7+21x^5-33x^3
Step-by-step explanation:
12x^7+15x^5-6x^3-27x^3+6x^5
12x^7+21x^5-33x^3
Answer:
The value of b² - 4 a c = 100
Step-by-step explanation:
Given equation x(x + 8) = 9
⇒ x² + 8 x = 9
⇒ x² + 8 x - 9 =0
The standard form of quadratic equation
a x ² + b x + c
Here a = 1 , b = 8 , c = -9
<em> The value of b² - 4 a c = ( 8)² - 4 (1)(-9) </em>
= 64 + 36
= 100
<u><em>Final answer:-</em></u>
The value of b² - 4 a c = 100
Answer:
7 and 13
Step-by-step explanation:
let the 2 numbers be x and y , x > y , then
x = y + 6 → (1)
(x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )
x + y = 4y - 8 ( subtract 4y from both sides )
x - 3y = - 8 → (2)
Substitute x = y + 6 into (2)
y + 6 - 3y = - 8
- 2y + 6 = - 8 ( subtract 6 from both sides )
- 2y = - 14 ( divide both sides by - 2 )
y = 7
Substitute y = 7 into (1)
x = 7 + 6 = 13
The 2 numbers are 7 and 13
The answer should be 8x+5
volume of the box is 675 cubic inches
A machine produces open boxes using square sheets of plastic.
It is a square sheet so length and width are same
Lets assume length as x so width is also x
The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.
After turning up the sides the height of the box becomes 3 inches
We know the volume of a box formula
Volume = Length * width * height
We know length is x , width is x and height = 3
So V = x * x * 3
Given volume = 675 cubic inches


Divide by 3 on both sides

Now we take square root on both sides
x = 15
the length of one side of the open box is 15 inches.