Incase you can’t see the picture, it says “Explain how to solve the following equation and check for extraneous solutions: x= square root of -2x+6 then out of square root +3 Please help guys
Answers
Answer:
x=3
Step-by-step explanation: too much math to put here
Answer:
x= 3 ; (x=1 is an extraneous solution)
Step-by-step explanation:
-2x+6 is under a square root, so its value must be > or equal to 0
If we solve the inequality
-2x+6 ≥ 0 we obtain
-x+3≥ 0
-x ≥ -3
x ≤ 3
now that we know the possible values of x we can proceed like this:
1) move 3 on the left side of equal and change its sign
x-3 = √-2x+6
2) square the two members of the equation
x^2 + 9 -6x = -2x+6
3) solve the equation
x^2 -4x +3 = 0
(x-3)(x-1) = 0
x = 3
x = 1
4) Check if the solution are ≤ 3 and if they make true the equation
Both solutions are ≤ 3
if x = 3
3 = √-6+6 + 3
3 = 3
true
x=1
1 = √-2+6 + 3
1 = 2+3
1 = 5 false
In conclusion we can say the 3 is a real solution, while 1 is an extraneous solution
Related Questions
Find the length of x.
Answers
Answer: 3
Step-by-step explanation:
zero point four divided by one point twenty eight?
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Answer:
1.42857142857
Step-by-step explanation:
Well that the answer I got on my phone.
What is the volume of a sphere with a radius of 25.9 in, rounded to the nearest tenth
of a cubic inch?
Answers
(4/3)(pi)r^2
(4/3)(pi)25.6^2
(4/3)(pi)*655.36
=2809.88235727
=2809.9 in^3
just help if you cannnnnnnnnnnnnnnnnnnnnnnnnn
Answers
Answer:
A) you need more information to determine the domain.
Step-by-step explanation:
You can't find an answer just by looking at it. Think of it like you are just guessing.
find the perimeter of a square whose area is 441 sq km?
Area of perimeter = 441 sq cm
(side)2 =
[tex] \sqrt{441} [/tex]
=21
the perimeter of sq= 4×side
= 4×21
84
Answers
Answer:
Area of perimeter = 441 sq cm
(side)2 =
[tex] \sqrt{441} [/tex]
=21
the perimeter of sq= 4×side
= 4×21
84
Mrs. Huffman is buying a dog for her daughter, Anna. The dog can be male or female. It can be a Goldendoodle, Collie, or Retriever. The dog can be small, medium, or large. What is the probability that Anna randomly chooses a male Goldendoodle of any size?
Answers
Answer:
1/2
Step-by-step explanation:
there ARE ONLY TWO GENDERS
THE dog can be male or female =
sum genders = 2
probability of been a male = 1/2
A spinner is divided equally into 4 colors: red, blue, green,
and yellow. If the spinner spins 60 times, how many times
can you expect it to land on blue?
Answers
Answer:
15 times because if the spinner is divided into 4 equal parts and you spin it a total of 60 times you would divide 60 by 4 to get your answer
Answer:
15 because 15 for each red, blue, green and yellow
Step-by-step explanation:
15 x 4 = 60
find the value of a amd b if: 7+4 root 3 divided by 7-4 root 3=a+b root 3
Answers
The value of a=97 and b=-56.
Write the equation for the yellow line. (please help)
Answers
Answer:
5 2 thats them so 5 2 that them
Please somebody help me
Answers
Identify the vertex, focus , axis of symmetry and directrix(??+1)2 =8(x-3)
Answers
Answer:
70
Step-by-step explanation:
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. How many rides did Penelope get to ride if she spends $35 in all.
Answers
$0.50 is the cost per ride (slope)
Plug into an equation
Y = 20 + 0.50x
35 = 20 + 0.50x
15 = 0.5x, x = 30
Solution: 30 rides
Answer:
Penelope get to ride 30 rides if she spends $35 in all
Step-by-step explanation:
r= ride
20 +0.50r =35
sibtract 20 on each side
0.50r = 15
divide esach side by 0.50
r= 30
Need help on this for brainliest
Answers
Answer:
Your answer is letter d
Step-by-step explanation:
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remainder of the eggs were white in color. Which equation can be used to solve for w, the number of white eggs used last week?
Answers
so
W = 185
Answer:
46 + w = 231
hope this helped
What is the −∣−14∣= [value1]
Answers
Answer:
-14
Step-by-step explanation:
The absolute value of -14 is + 14. If prefaced with a " - " sign, |-14| comes out as -14:
-|-14) = -14
In 2018, the attendance at Jefferson School's Fall festival was 240. In 2019, the attendance was 210. What was the percent change in attendance from 2018 to 2019? Round to the nearest whole percent.
Answers
Answer:
Step-by-step explanation:
How much do I have to deposit today in order to have $5000 in 5 years if interest is 8.5% compounded annually?
Answers
Answer:
PV= $3,402.9
Step-by-step explanation:
Giving the following formula:
Future Vale (FV)= $5,000
Number of years (n) 5 years
Interest rate (i)= 8.5% compounded annually
To calculate the initial investment (PV), we need to use the following formula:
PV= FV / (1 + i)^n
PV= 5,000 / (1.085^5)
PV= $3,402.9
round off 4,449999 to one place
Answers
Answer:what we should do?
Step-by-step explanation:
Answer:
There is nothing to be rounded off
Step-by-step explanation:
find the equation of the exponential function represented by the table below
x y
0 3
1 9
2 27
3 81
Answers
Answer:
y = 3^(1 + x)
Step-by-step explanation:
Notice that each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3^x.
Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:
y = 3^(1 + x)
Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)
If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)
Help lol easy
You are having a bake sale and selling cupcakes. It cost you $.15 to make each cupcake. If you sold each cupcake for $1.00, what would your profit be on each cupcake?
Answers
Answer:
0.85 DOLLARS
Step-by-step explanation:
Mr. Dotson wants to know if the neighbors on his street would be interested in a community watch. He surveys every fourth household and concluded that 70% would be interested
Answers
Answer:
The answer is "This is true since it is a random systematic sample".
Step-by-step explanation:
In the given scenario, Systemic random sampling involves the random sampling method which often involves the collection of samples onto an interval system in such a numbered group of people based on the premise/base. It also is a selection of samples at a particular preset interval.
Calculate the sampling interval and fix it quickly. (The sample population divided with several selected components needed).Take a random value between 1 to a sample interval. Replicate the sample size to choosing all additional sections.Out of the 69 customers at Charlie's boutique, 33 wore a size medium.
What is the probability that a randomly selected customer wore a size medium?
Write your answer as a fraction or whole number.
Pls help
Answers
Answer:
you can download it here
Step-by-step explanation:
1/2 (2n + 6)
simply the answer and show work
Answers
Answer:
The answer is n + 3.
Step-by-step explanation:
1) Simplify.
[tex] \frac{2n + 6}{2} [/tex]
2) Factor out the common term 2.
[tex] \frac{2( n+ 3)}{2} [/tex]
3) Cancle 2.
[tex]n + 3[/tex]
Therefor, the answer is n + 3.
What two numbers have a product of -30 and a sum of -1?
Answers
Answer:
5 and -6
Step-by-step explanation:
Answer:
5 and -6
Explanation:
[tex]xy = - 30 \\ x + y = - 1[/tex]
and you solve using the substition method
which graph shows all the values that satisfy 2/gx +3>45/g
Answers
Answer:
In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.
Next, you solve the equation by finding x. Just don't mind the inequality symbol:
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.
Step-by-step explanation:
Appreciate the help thank you olzzz
Answers
Answer:
a = 87
Step-by-step explanation:
36+57=93
180-93=87
Answer:
87°
Step-by-step explanation:
Since this is a triangle, triangles add up to 180°
Since we know the 2 angles, we are able to find a
180 - 36 - 57 = 87
a = 87°
8. Sheila and her study partner flipped a coin 120 times. They flipped 70 heads and 50 tails. What is the
experimental probability that the next flip will be heads up?
F 58%
58%
G 50%
H 41%
J 70%
Answers
Answer:
.
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
To find the amount of percent a value takes up, here's the formula:
Let X = heads
Let y = amount of coinflips
Let z = percent of coinflips are heads
z=x/y
A rectangle has an area of 100cm and a perimeter of 104cm. Find the length and width of the rectangle (NEED ASAP)
Answers
60 POINTS! RIGHT ANSWERS ONLY PLEASE
Which of the following is a binomial experiment?
Rolling a six-sided number cube and recording the number until a 5 comes up
Rolling a six-sided number cube and recording the number until an odd number comes up
Rolling a six-sided number cube 24 times and recording the number that comes up
Rolling a six-sided number cube 24 times and recording if a 5 comes up
Answers
Answer: Rolling a six-sided number cube 24 times and recording if a 5 comes up
Thank you for being so generous with the points!! <3
prove triangle AOC is congruent to triangle BOD
Answers
Step-by-step explanation:
We are given two Triangles and we need to prove them congruent . In ∆AOC and ∆BOD , we have
[tex]\to AC = BD ( given ) \\\\\to OD = OA \\\\\to \angle CAO =\angle BDO (Since\ BD || AC ) [/tex]
Therefore by AAS congruent condition we can say that ,
[tex]\implies\red{ \triangle AOC \cong \triangle BOD }[/tex]
Hence Proved!
