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
sukhopar [10]
2 years ago
11

The time a projectile spends in the air can be modeled by the equation t² -t - 8 = 0, in which t represents the amount of time t

raveled, in seconds. Which of the following is equivalent to the equation t² - 2t - 8 = 0?
(t + 4)(t - 2) = 0
t -4)(t - 2) = 0
(t + 4)(t + 2) = 0
(t - 4) (t + 2) = 0
Mathematics
1 answer:
s2008m [1.1K]2 years ago
8 0

Answer:

(t - 4)(t + 2) = 0  

Step-by-step explanation:

The general formula for a quadratic expression is

y = ax² + bx + c

Your expression is

y = t² - 2t - 8 = 0

By comparison, we see that

a = 1; b = -2; c = -8

1. Find two numbers that multiply to give ac and add to give b.

In this case, find two numbers that multiply to give -8 and add to give -2.

It helps to list the factors of  -8.

They are ±1, ±2, ±4, and ±8

After a little trial and error, you should find the numbers -4 and +2.

-4 × 2 = -8, and -4 + 2 = -2)

2. Rewrite the middle term with those numbers

t² -4t + 2t - 8 = 0

3. Factor the first and last pairs of terms separately

t(t - 4) +2(t - 4) = 0

4. Separate the common factor

The common factor is t - 4.

(t - 4)(t + 2) = 0

You might be interested in
7. What is the force of tension in a rope that spins a 250 g object in a vertical circle with a radius of 50 cm if the
Phantasy [73]
Subtract 250-50 which equals 200 and then multiply it by 3 which is 600
4 0
2 years ago
Total consumption of fruit juice in a particular country in 2006 was about 1.85 billion gallons. The population of that country
Eduardwww [97]

Given :

Population of country in 2006 , P = 300 million.

Consumption of fruit juice in 2006 by while population, C = 1.85 billion.

To Find :

The average number of gallons of fruit juice consumed per person in the country in​ 2006.

Solution :

We know, 1 billion = 1000 million.

C = 1.85 billion = 1850 million.

Now, average umber of gallons of fruit juice consumed per person in the country in​ 2006 is :

c =\dfrac{C}{P}\\\\c=\dfrac{1850}{300}\ gallons/person\\\\c=6.17 \ gallons/person

Hence, this is the required solution.

4 0
2 years ago
Under her cell phone plan, Ellie pays a flat cost of $50 per month and $5 per
erastovalidia [21]

Answer:

She can use 4GB of data

You keep on adding five dollars on top of 50 until you reach 70.

6 0
2 years ago
Thrice the product of two and "Y".
love history [14]

Answer:

6Y

Step-by-step explanation:

We need to solve the statement ' Thrice the product of two and "Y" '.

Thrice means 3 times and product means multiply. It means we have to multiply 3,2 and Y.

Let the result is R. It can be calculated as follows :

R=3\times 2\times Y

We know that, 3×2 = 6

So,

R=6Y

Hence, Thrice the product of two and "Y" is 6Y.

6 0
3 years ago
The ratio of North American Butterflies to South American butterflies at a butterfly park is 7:4. The ratio of South American bu
andrew-mc [135]
There are 23 south ameican for evry 1
6 0
3 years ago
Other questions:
  • Please help!! :) Please show all work. 3y^3/4-1=80
    14·2 answers
  • What is 84 of 100 simple form
    7·1 answer
  • 3 times the sum of x and y plus 5 times the difference of 2x and y
    9·2 answers
  • Why does the graph of an exponentai funcation have its shape
    7·1 answer
  • Need help with these 2 questions pls help me will mark brainiest
    7·2 answers
  • What is the value of x​
    15·1 answer
  • £132 in the ratio 3 : 8
    15·2 answers
  • Explain what the equation
    6·1 answer
  • Sasha's bank account earns 4% simple interest. How much must she deposit in the account today if she wants it to be worth $1,000
    6·1 answer
  • PLEASE HELP!!! WILL MARK BRAINLIEST!!!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!