The unit rate would be:
180 mi/3h
=60 mi/h
Therefore the unit rate would be 60 miles per hour
Answer:
x=1,
y=1/2
Step-by-step explanation:
4x-8y=0
so 4x=8y
x=2y
5x+2y=6
because x=2y
so:
5x+x=6
6x=6
x=1;
then
x=2y
1=2y
y=1/2
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:
37.5 square units
Step-by-step explanation:
Given:
A(-6,-4), B(6,5), C(-1,6), and D(2, 2), where CD is the altitude if ∆ABC
Required:
Area of ∆ABC
SOLUTION:
Area of a ∆ABC =½*AB*CD
✍️
✍️
✍️Area of a ∆ABC =½*AB*CD
= ½*15*5
✅ Area = 37.5 square units
Let x represent the number of half-gallons purchased by the store. Then x-13 is the number sold, and 2.80x is the store's cost. The revenue is 4.06(x-13) and the difference between that and cost is the profit.
... 4.06(x -13) -2.80x = 63.14
... 1.26x - 52.78 = 63.14 . . . . eliminate parentheses, collect terms
... 1.26x = 115.92 . . . . . . . . . . add 52.78
... x = 115.92/1.26 = 92 . . . . . divide by the coefficient of x
The store purchased 92 half-gallons of milk.
