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
frozen [14]
3 years ago
14

Rewrite the equation by completing the square. x^{2}+16x+64 = 0

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0

Answer:

(x+8)²

Step-by-step explanation:

x² + 16x + 64 = (x+8)²

(x+8)² = (x+8)(x+8) = x*x + x*8 + 8*x + 8*8 = x² + 8x + 8x + 64

         = x² + 16x + 64

You might be interested in
At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a
morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = \dfrac{15}{120}=0.125

As we know the poisson process, we get that

P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda

So, for exactly one car would be

P(n=1) is given by

=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

0.2599\times 18=4.6798

We will find the traffic flow q such that

P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%

Hence, a) 4.6798, and b) 19.8%.

7 0
3 years ago
How do i solve this as an inequality?<br>a. 2x+6 &lt;14<br><br>please send a step by step!! :)​
Y_Kistochka [10]

Answer:

2x+6<14

2x<14-6

2x<8

x<4

6 0
3 years ago
Read 2 more answers
Complete the table of pork sandwiches to chicken
denis-greek [22]

Step-by-step explanation:

Pork sandwiches: 2 , 6 , 10 , 14

goes by 4

Chicken Sandwiches: 5 , 15 , 25 , 35

goes by 10

4 0
2 years ago
Help please <br> help ..............................................
postnew [5]
Rs 9600 pls give Brainlyest
4 0
3 years ago
Read 2 more answers
-6x+y=-2<br>x-3y=9 what is the solution set?
Anarel [89]
Mult. the 2nd eqn by 6 and then add this "new" equation to the 1st given eqn:

 -6x + y = -2
  6x -18y = 54
--------------------
        -17y = 52, or y = -52/17.  Subst. this value of y into either equation to find the value of x.
3 0
3 years ago
Other questions:
  • In the diagram below, P and Q are points on a circle with centre O.
    10·1 answer
  • A store is having a 60% off sale. the sale price of an item is 125. what is the list price ?
    10·2 answers
  • What is the smallest three-digit number divisible by the first three prime numbers and the first three composite numbers?
    9·1 answer
  • What number would complete the pattern below? 107 98 90 83 77 __ 68 65 71 72 73 74 75?
    8·1 answer
  • Martha has 25 coins in her purse some of these coins are nickels and the rest are quarters if the total value of the coins she s
    15·1 answer
  • How many feet is in 215 yards
    7·2 answers
  • Kendall is starting a new small business and working everyday to make it a success. She earned $952 in 7 days. Assume she will c
    6·1 answer
  • What is 22% of 400?*<br> Your answer
    15·1 answer
  • Write a cube - b cube in factor form​
    12·2 answers
  • How many pounds of bananas cost $3.75?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!