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Law Incorporation [45]
3 years ago
8

HELP!!!!!!!! 15 POINTS

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

x=5 is in the domain

Step-by-step explanation:

sqrt(x-5) ≥ 0

Square each side

(sqrt(x-5))^2 ≥ 0^2

x-5≥0

x≥5

This is the domain of x

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Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.
loris [4]
The answer is <span>a.)(x - 4)2 = 3.

(x - a)</span>² = b can be expressed as:
x² - 2ax + a² = b                                 ⇒ x² - 2ax + a² - b = 0

Our equation is                x² - 8x + 13 = 0.
The general formula is    x² - 2ax + (a² - b) = 0

Thus:
8x = 2ax    and a² - b = 13

Divide both sides of the first equation (8x = 2ax) by x:
8 = 2a           ⇒ a = 8 ÷ 2 = 4

Replace a in the second equation (a² - b = 13):
4² - b = 13     ⇒ b = 4² - 13 = 16 - 13 = 3

Now when we have a and b, let's just replace them in the general equation:
(x - a)² = b
(x - 4)² = 3
4 0
3 years ago
Find the distance between the points (2,1), (-3,6)
topjm [15]

Answer:

5 times the square root of 2 or 7.071

Step-by-step explanation:

Hope it helps!

5 0
3 years ago
A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in an upcoming ele
balandron [24]

Answer:

1.\ \ np\geq 10\\\\2.\ \ n\geq 10x

Step-by-step explanation:

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n\geq 10x\\\\n=2000\\x=150\\10x=1500\\\therefore n\geq 10x

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np\geq 10\\n=2000, p=0.6\\np=1200\\\\Hence, np\geq 10

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Answer:To make a profit and pay operating expenses, banks typically charge for the services they provide. When a bank lends you money, it charges interest on the loan. Even fee-free checking and savings accounts have some fees. ...

Step-by-step explanation:

7 0
3 years ago
14^(5x+2) &lt; 11^(4x-1)
kherson [118]
To simplify 14^(5x+2)<11(4x-1) 
x < -2.130032
4 0
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