Answer:
2 x 3 + 7 x 2 + 14 x + 12÷ 2x+ 3 = <u> x² +2x+ 4 </u>
Step-by-step explanation:
We multiply the first term 2x of the divisor with a term ( quotient) to get the first term of the dividend. Then we multiply the same term with each term of the divisor and subtract it from the dividend. The process continues unless we get the zero or a much smaller number than the dividend as the remainder
<u> x² +2x+ 4 </u>
2x+3 ║2 x 3 + 7 x 2 + 14 x + 12
2x³ + 3x²
<u> - - </u>
4x² +14x+12
4x²+ 6x
<u> - - </u>
8x+12
8x+12
<u> - - </u>
<u> 0 </u>
Answer:
$46.42
Step-by-step explanation:
a=price after discount (without sales tax)
a/55=20/100
100a=55·20
100a/100=1,100/100 (the 1,100 is from the 55·20)
You get 11 and then you have to subtract 11 from 55.
55-11=44, so a=44
Then you multiply 44·0.055 (you get 0.055 because you have to make 5.5% a decimal. You get 2.42.
You add 2.42 and 44 and you get $46.42
Use ax^2 + bx + c = 0
ac = -8
b = 2
The factors are 4 and -2.
Plug them into the equation:
x^2 + 4x - 2x - 8
Then factorise it:
x ( x + 4) - 2 (x + 4)
so m = 4
(x + 4)^2
Answer:
X= 17
Step-by-step explanation:
263.76 cm is the minimum amount of paper she will need to wrap the entire container.
<u>Step-by-step explanation:</u>
As we know that the equation for surface area of a cylinder,
Surface area of cylinder = 
Where,
r - the radius of the cylinder. Here given diameter (D) as 6. So,
h - the height of the cylinder (given as 11 cm). The value for pi = 3.14. Now, calculate the surface area of the cylinder as
A = 56.52+ 207.24 = 263.76 cm
