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netineya [11]
3 years ago
13

Which of the following represents the function f(x) = x2 − 14x − 1 in vertex form? Identify the vertex.

Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0
The vertex is (7,-50) 
***rewrite in standard form***
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Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km awa
oksian1 [2.3K]

Answer:

147.5 km and 64.4 km

Step-by-step explanation:

a=120  km

b=70  km

β=28 degrees ( ∘)

 

b^2=(a^2)+(c^2)−2ac*cosβ  

70^2 =(120^2 )+(c^2)−2⋅ 120⋅ c⋅ cos(28∘ )  

 (c^2 ) −211.907c+9500=0  

 

note p, q, and r are replacement variables in the Pythagorean theorem since a, b, and c are already in use

p=1;q=−211.907;r=9500  

D=(q^2 ) −4pr=(211.907^2 )−4⋅1⋅9500=6904.75561996  

D>0  

 

c_{1,2}  =   (−q±  \sqrt{D}   )/2p=(211.91±\sqrt{6904.76})/2

​c_{1,2}  =105.95371114±41.5474295834  

(c_{1}−147.501140726)(c_{2}−64.4062815596)=0

c_{1}=147.501140726  

c_{2}=64.4062815596  

5 0
3 years ago
What is the least common multiple of 2x^2 and 4x+12
Shalnov [3]

Answer:

4 x ^2 ( x + 3 )

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

4 0
3 years ago
You are working as an office apprentice for the bksb Newcastle Arena. You are helping collect a customer satisfaction survey for
Nana76 [90]

Answer:

Step-by-step explanation:

6 0
3 years ago
What are all of the factors for 100 and 73. Please help with them and write them separate. thanks.
Zolol [24]
The factors of 100 are 1, 2, 4, 5, 10, 20, 25 50 and 100
the factors of 73 are 1 and 73. 73 os a prime number
6 0
3 years ago
Jaylen will deposit $1,750 in an account that earns 6% simple interest every year. His best friend, Eli, will deposit $1,600 in
Novay_Z [31]

Answer:

Jaylen- 2275

Eli- 2405.85

Jaylen

1750 x 0.06 x 5 =525

525 + 1750 = 2275

He makes 525 simple interest in those 5 years so you add that to the initial amount, to find his total after 5 years.

Eli

A= 1600(1+0.085)^5

1600(1.085)^5

2405.85

Hope this helps ^-^

6 0
3 years ago
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