Answer:
$3.20
Step-by-step explanation:
7% = 7/100 = .07 as a decimal
2.99 + .07 * 2.99 = total cost of hot dog
3.1993 or $3.20 = total cost of one hot dog
Hi there!
The formula for the area of a kite is A = 1/2(d1 x d2). Using this formula, all we need to do to find the area is to plug in each diagonal length, then solve the equation.
WORK:
A = 1/2(15 x 16)
A = 1/2(240)
A = 120cm^2
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
A) - Quartic polynomial
- has four roots
- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) - Cubic polynomial
- has 3 roots
- roots are; f(x) = (x - 5)²(x + 5)
Step-by-step explanation:
A) f(x) = x⁴ + 21x² − 100
The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.
Factorizing this polynomial gives;
f(x) = (x² + 25)(x² - 4)
Equating to zero, we can find the roots. Thus, the roots are;
x = 5i
x = -5i
x = 2
x = -2
Thus, the completely factorized polynomial is;
f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) f(x) = x³ − 5x² − 25x + 125
The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.
Factorizing this polynomial gives;
f(x) = (x² - 25)(x - 5)
Equating to zero and Factorizing gives;
x = 5
x = -5
x = 5
Thus, completely factorized with the roots is;
f(x) = (x - 5)²(x + 5)
Answer:
Quadrants 3 and 4
Step-by-step explanation:
we have
using a graphing tool
The solution is the triangular shaded area between the three dashed lines
see the attached figure
The solution lies in Quadrants 3 and 4
we know that
If the point has an nonzero abscissa (x coordinate) then it can be located in any of the four quadrants
If the point has an negative ordinate (y coordinate) then it can be located in Quadrant III or Quadrant IV
therefore
the answer is the option
Quadrant III or Quadrant IV
