Answer:
Arjun's brother
Step-by-step explanation:
Given
Arjun = 20mL chocolate syrup to 3 ounce of hot water
Brother = 45mL chocolate syrup to 6 ounce of hot water
Required
Which is more chocolatey?
To get which is more chocolatey, we simply calculate the unit rate of chocolate per 1 ounce of hot water.
For Arjun
For his brother
By comparison 7.5 > 6.67
Hence, Arjun brother's chocolate is more chocolatey.
Answer:
Fourth degree polynomial (aka: quartic)
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Work Shown:
There isnt much work to show here because we can use the fundamental theorem of algebra. The fundamental theorem of algebra states that the number of roots is directly equal to the degree. So if we have 4 roots, then the degree is 4. This is assuming that there are no complex or imaginary roots.
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If you want to show more work, then you would effectively expand out the polynomial
(x-m)(x-n)(x-p)(x-q)
where
m = 4, n = 2, p = sqrt(2), q = -sqrt(2)
are the four roots in question
(x-m)(x-n)(x-p)(x-q)
(x-4)(x-2)(x-sqrt(2))(x-(-sqrt(2)))
(x-4)(x-2)(x-sqrt(2))(x+sqrt(2))
(x^2-6x+8)(x^2 - 2)
(x^2-2)(x^2-6x+8)
x^2(x^2-6x+8) - 2(x^2-6x+8)
x^4-6x^3+8x^2 - 2x^2 + 12x - 16
x^4 - 6x^3 + 6x^2 + 12x - 16
We end up with a 4th degree polynomial since the largest exponent is 4.
Let's solve ~
Y - intercept of the line is the point where value of x is 0 [ where the line cuts y - axis ]
X - intercept of the line is at the point where value of y is 0
[ where the line cuts x - axis ]
Use the slope formula (y2-y1)/(x2-x1)
(0+9)/(4+7)=9/11
Since q is parallel to r the slope will be the same. 9/11 is the slope of line r
