Answer:
zeros
x=0
x=4 with multiplicity 2
Step-by-step explanation:
We need to solve x^3-8x^2+16x=0
Notice each term has a factor of x in common in x^3-8x^2+16x so we can factor it as x(x^2-8x+16)
Now x^2-8x+16 is a quadratic where a=1... We can see if it is factorable by looking for two numbers that multiply to be 16 and add up to be -8 which is -4 and -4
So you have x^3-8x^2+16x=0 is equivalent to x(x-4)(x-4)=0 (this one is in factored form).
x=0
x=4 (multiplicity 2 since you had the factor that is came from occurring twice)
Answer:
A
Step-by-step explanation:
To solve this I first solved the equation for how many rabbits there would be after 1 year
1000+ .40×(1400)
This is going to give me the number of rabbits at first, + 40% of the initial population.
After the first year there would be 1400 rabbits.
While choice C does equal 1400, this equation only gives you the population increase for 1 year. Answer A allows you to find the population for any year.
3) 1 quart = 4 cups
6 quarts =6*4 = 24 cups
30 cups >24 cups (6 quarts)
30-24= 6 cups more
6 cups more in 30 cups than in 6 quarts.
5) 1 quart = 4 cups
36 quarts = 4*36=144 cups holds Sally's can.
64+144=208 cups hold both cans.
All other problems are correct.
Hey there!
Solve using pythagoras theorem (it's given that is triangle is right angled. Pythagoras theorem only works in the case of right triangles) ⇨ Hypotenuse² = Base² + Altitude ²
Here,
Base = 9 mm
Hypotenuse = 15 mm
Altitude = b
Hypotenuse² = Base² + Altitude ²
15² = 9² + b²
225 = 81 + b²
225 - 81 = b²
144 = b²
√144 = b
<u>1</u><u>2</u><u> </u><u>mm </u>= b
Hope it helps ya!
Let width be x
let length be x+13
perimeter=2*(L+W)
226=2*(x+x+13)
226=2*(2x+13)
226=4x+26
subtract 26 from each sides
200=4x
x=50, which is the width
length=63