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algol [13]
3 years ago
5

What is the solution of the equation?  Eliminate any extraneous solutions.

Mathematics
1 answer:
vazorg [7]3 years ago
7 0
\sqrt{3x+28}-8=x\\\\\\A.\ x=9\ \vee\ x=-4\\x=9\to L=\sqrt{3\cdot9+28}-8=\sqrt{27+28}-8=\sqrt{55}-8\\ R=9;\\L\neq R\\\\B.\ x=-9\\L=\sqrt{3\cdot(-9)+28}-8=\sqrt{-27+28}-8=\sqrt1-8=1-8=-7;\\ R=-9;\ L\neq R

C.\ x=-9\ \vee\ x=-4\ (see\ B.)\\\\D.\ x=-4\\L=\sqrt{3\cdot(-4)+28}-8=\sqrt{-12+28}-8=\sqrt{16}-8\\=4-8=-4\\R=-4\\L=R\\\\Answer:D.
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A marina is in the shape of a coordinate grid. Boat A is docked at (3.1, −1) and Boat B is docked at (−4.1, −1). The boats are _
kirill115 [55]

Answer:

d = 7.2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Boat A(3.1, -1)

Boat B(-4.1, -1)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute [DF]:                    d = \sqrt{(-4.1-3.1)^2+(-1+1)^2}
  2. Subtract/Add:                       d = \sqrt{(-7.2)^2+(0)^2}
  3. Exponents:                           d = \sqrt{51.84}
  4. Evaluate:                              d = 7.2
8 0
3 years ago
Read 2 more answers
Graph y=5/3x -9 ......
alisha [4.7K]
Put a point at -9 because that is the y-intercept.then from the point -9 count up 5 and count over 3.
4 0
3 years ago
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Shaun has five coins in his pocket. If he empties the coins onto a table, what is the probability that all five coins will land
Anastasy [175]

Answer:

A. 1/32

Step-by-step explanation:

Ok, the probability for one of the coins to land on heads is 1/2 cause a coin have to sides and chance is 50% that it will land on either of its sides.

If you have 2 coins the probability will be 1/2 for the first coin to land on heads and 1/2 for the second one. The overall probability for 2 coins would be (1/2)*(1/2)=1/4. You could also see it is 1/4 because all of the possible combinations of 2 coins are 4 (HH, HT, TH, TT) and HH is one of four.

It's the same if you have 5 coins. The probability will be (1/2)*(1/2)*(1/2)*(1/2)*(1/2)=1/32 in other words HHHHH is one of 32 possible combinations of 5 coins.

5 0
3 years ago
The graph shows the solution to which system of inequalities?
postnew [5]

Answer:

is A B and D

Step-by-step explanation:

5 0
3 years ago
Sheila buys two concert tickets from her friend she pays $90 for the two tickets she looks at the tickets and sees that each tic
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Cost of two tickets that Sheila paid to her friend = $ 90

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So, actual price of 2 tickets = 52.50\times2=105

Hence, markdown or discount Sheila's friend gave her is =

105-90=15

The answer is $15.


8 0
3 years ago
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