Answer:
x^3-4x^2+25x-100
Step-by-step explanation:
We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root
Combining the roots into a polynomial gives us:
(x+5i)(x-5i)(x-4)
Expand:
(x^2 + 25)(x-4)
x^3-4x^2+25x-100
Answer:24
Step-by-step explanation:
Sum of their ages is 60 yr. As such
7x + 3x = 60
10x = 60
x = 60 / 10
x = 6
The rationale is 6, therefore
Father's age is 7x = 7 × 6= 42 years
Son's age is 3x = 3 × 6 = 18 years
Difference in their ages
42 - 18 = 24 years
Answer:
26x+61
Step-by-step explanation:
Answer:
7 2/3 minutes
Step-by-step explanation:
We can write this equation in y = mx+b form
where m = 3 ft/min and b = -105 ft
x is the number of minutes and y is the depth
y = 3 * x -105
We want to find when y = -82
-82 = 3x -105
Add 105 to each side
-82+105 = 3x-105+105
23=3x
Divide by 3
23/3 = 3x/3
23/3=x
Changing into a mixed number
3 goes into 23 7 times with 2 left over
7 2/3 minutes
128 ounces in a gallon
128 divided by 4. Gives you 32 bowls of cereal
