Answer:
$13.95
Step-by-step explanation:
Total Amount to spend on gifts = $30
Number of gifts to purchase = 3
Amount spent on gift A = $9 1/4
Amount spent on gift B = $6 4/5
Amount left to spend on gift C:
Total amount - (gift A + gift B)
$30 - ($9 1/4 + 6 4/5)
$30 - (37/4 + 34/5)
$30 - (185 - 136) / 20
$30 - 321 / 20
30 - 16.05
$13.95
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.
Step-by-step explanation:
53 ÷ (-12 x - 4)
53 ÷ 48
= 1.10416
Perimeter of a square = 4s = 20ft
s = 20/4 = 5 feet
New length = 5 + 2 = 7 ft
New width = 5 - 1 = 4ft
New perimeter = 2(7 + 4) = 2(11) = 22ft
Answer:
17,000m
or 7 km
Step-by-step explanation:
distance covered in 4 days = total distance x 2 x 4 days
convert the total distance to meters
(1000m x 2) + 125 = 2125m
total distance = 2125 x 2 x 4 = 17,000m or 7km
