1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
creativ13 [48]
3 years ago
5

Factor this out: 7y³ + 21y² + 14y

Mathematics
1 answer:
Irina18 [472]3 years ago
6 0
Factor out 7y
7y(y^2 + 3y + 2)
7y(y + 1)(y + 2)
You might be interested in
An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
one side of a ship has marks spaced 3 feet apart. four marks are underwater. how many feet of the ship are underwater
anastassius [24]
A boat has a ladder that has six rungs. Each rung is one foot apart. The bottom rung is one foot from the water. The tide rises at 12 inches every 15 minutes 


7 0
3 years ago
How do I solve this? PLEASE HELP TIME LIMIT
katrin [286]

im not sure how to explain it, but i know its b

6 0
3 years ago
48x^2 +44x=60 which of the following could be used to find the solution to the equation above? Select all that apply
levacccp [35]

Because the polynomial has degree 2, we can assume that there are 2 solutions (roots), whether real or imaginary.

You can subtract 60 in order to put this in standard form

48x^2+44x-60 = 0

From there, just put a,b, and c into the quadratic formula and you're good to solve for your answers.


(-b+-sqrt(b^2-4ac))/2a

(-44+-sqrt(44^2-4(48)(-60)))/2(48)

Then solve.


There is probably a better way, but this should give you the two roots/solutions.

8 0
3 years ago
How do you find the lowest common denominator for 8/15 + 2/12?
salantis [7]
The lowest common denominator for 15 and 12 will get in this way 

15=3*5
12 = 3*4 

LCM will be 3*4*5=12*5=60
5 0
3 years ago
Other questions:
  • Yea lol how do u do this
    14·1 answer
  • Betsy and 3 of her friends are splitting a whole watermelon. There are 6 circular sides of the watermelon will each person get?
    13·1 answer
  • Find the greatest common factor of the terms: 35a⁴b⁸, 49a²b⁵, 14ab⁴?​
    14·1 answer
  • A baseball player's batting average is found by dividing the number of hits the player has by the number of at-bats the player h
    11·1 answer
  • Divide two and one 50 x 0.1
    13·1 answer
  • The recipe calls for 1⁄4 cup of sugar. If you make a batch of cookies that is 3⁄4 the amount made in the recipe, how much sugar
    10·1 answer
  • Find a common denominator for the pair of fractions 3/4 and 1/3 then write equivalent fractions with the common denominator.
    15·2 answers
  • What is 8.023 in expanded form
    15·2 answers
  • Help me please I need it by tommrow u get brai nlist
    12·1 answer
  • Can someone help me with this please
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!