Answer:
20 miles in an hour.
Step-by-step explanation:
4/5=0.8
16/0.8=x/1
cross product
0.8*x=16*1
0.8x=16
x=16/0.8
x=20
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:
y = -2x + 1
Step-by-step explanation:
The y-intercept is given by the point that is on the y-axis. (1)
This means that the answer contains a +1
Then you must find if the slope is positive or negative
In this case the slope is negative because the line goes "downhill" from left to right
Since the slope is negative it means that there will be a negative sign in the beginning of the equation
Next, to find the slope you need to find the rise over run
Since it is a negative slope the rise will be negative and the run will be positive.
To find the slope find two clear points on the graph such as (0,1) and (2,0)
To find the slope, use the slope formula
This would look like: (0-2)/(1-0)
Your slope will be -2x
Piece it all together and you get a final answer of y= -2x+1
, 2p+3)x2+(4p−14)x+16p+1=0
has coincident roots.
4 can go into 72 18 times