According to the Fundamental Theorem of Algebra, the number of roots of a polynomial is equal to the degree of the polynomial. The degree of the polynomial is the highest exponent of a term in the polynomial.
Looking at the function, the term with the highest exponent is 8x7. The exponent is 7; therefore, the function has 7 roots.
Answer:
1 hot dog costs $0.75
1 bratwurst costs $1.35
Step-by-step explanation:
Let x and y be the price per dozen of hot dogs and bratwursts respectively.
The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60
8x + 13y = 282.60
The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00
10x + 15y = 333
and we have the linear system
<em>8x + 13y = 282.60
</em>
<em>10x + 15y = 333
</em>
which can be written in matrix form as
The solution would be given by
We have
hence
Now,
if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75
if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35
AB
It is indicated in the figure and is valid:
m AB = 49
m ABC
Angle resulting from the following subtraction:
m ABC = 360-107 = 253
m BAC
Angle resulting from the sum of the two angles shown in the figure:
m BAC = 107 + 49 = 156
m ACB
Angle resulting from the following subtraction:
m ACB = 360-49 = 311
Answer:
y= = 0.75
Step-by-step explanation:
To subtract the second equation from the first equation, you have to divide the equation as left of the equal sign and right of equal sign then do the calculation separately. The calculation will look like this
-3x +2y = 7
-3x - 2y = 4
_____________ -
(-3x +2y) - (3x -2y) = 7 - 4
-3x + 2y + 3x + 2y = 3
4y= 3
y= = 0.75
Answer:
The answer is C - 2x + 8.
Step-by-step explanation:
In the first domain:
does not exist.
in the second domain:
The function is: