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.
Slope intercept form: y = mx + b
-7y = -10x - 8
y = 10/7x - 8
hope this helps :)
Answer:
It will cost $72 Justice to fence in his garden.
Step-by-step explanation:
Total length of the fencing around the garden = 24 feet
Cost of fencing per inch = $0.25
Now, as we know 1 foot = 12 inches
⇒ 24 feet = 24 x 12 inch = 288 inches
⇒ 24 feet = 288 inches
Hence, the total length of fencing = 288 inches.
Now, Total cost of Fencing
=Total length of fencing x Cost of fencing par inch
= 288 inches x ($0.25)
= $ 72
or, the total cost of fencing = $72
Hence, it will cost $72 Justice to fence in his garden.
$54.79 - $29.99 = $24.80
$24.80 + .25 = $25.05
$25.05 - $4.07 = $20.98
Mrs.Heat has $20.98 dollars in her wallet now.
:)
