Answers
Answer:
No
Edit:
Yes, based on original equation. (Credit to greenpumpkin for correction)
Step-by-step explanation:
For this problem, we simply need to find the values of x that can make the equation true. So, let's begin by isolating the "x" variable.
sqrt(2x + 13) = x + 5
[sqrt(2x + 13)]^2 = (x + 5)^2
2x + 13 = x^2 + 10x + 25
0 = x^2 + 8x + 12
Note, we can remove the sqrt method by squaring both sides of the equation. Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.
[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a
Let a = 1, b = 8, and c = 12
[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)
= [-8 +/- sqrt( 64 - 48 ) ] / 2
= [-8 +/- sqrt(16) ] / 2
= [ -8 +/- 4 ] / 2
So, x = [ -8 + 4 ] / 2 and x = [-8 - 4 ] / 2
x = [-4] / 2 = -2 and x = [-12] / 2 = -6
Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.
Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.
Cheers.
----------------------------------------------------
Edit:
Plugging the value of -6 back into the original equation, we get the following:
sqrt(2x + 13) = x + 5
sqrt(2(-6) + 13) = (-6) + 5
sqrt (1) = -1
1 != -1
Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)
Related Questions
The WHS Football team is trying to raise money to buy new equipment so the players are selling wacko cards for $20 each if the football team needs to raise at least $3000 for equipment right any quality to represent the situation and find the least number of wacko cards the team must sale
Answers
Answer:
150
Step-by-step explanation:
3000/20
150.
$$$$$$$$$$$$$$$$$
Fill in the missing numbers to complete the pattern:
1.31, 1.81, _____ ,2.81, _____ ,3.81
Answers
Answer:
2.31 and 3.31
Step-by-step explanation:
since .81 is repeating, we can assume .31 does too
3.4+12a divided by 4 for a = 10
Answers
Answer:
the answer to your question is 33.4
Assume that last year in a particular state with 700000 children there were 1205 children out of 32600 in a random sample who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. Is there sufficient data to show that the incident rate of ASD is higher in that state than nationally
Answers
Answer:
We accept Hₐ there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally
Step-by-step explanation:
The population follows a binomial distribution, and the fact that
p₀ = 1205/32600 = 0,03696 and then q₀ = 1-0,03696 = 0,9630
And both
p₀*n = 0,03696*32600 = 1205 > 10
q₀*n = 31395 > 10
The binomial distribution can be approximate to a Normal Distribution, then we need to develop a one tail test ( to the right) to evaluate if the claim " There is sufficient data to show that the incident rate is higher in the mentioned state than the national one.
Therefore:
Hypothesis Test H₀ ⇒ p₀ = p
Alternative Hypothesis Hₐ ⇒ p₀ > p
p is the population proportion mean
p = 1/88 = 0,011
We must test having a very wide Confidence Interval since the matter we are trying is public health then we choose CI = 95 %
CI = 95 % α = 5 % α = 0,05
Critical value for 0,05 is from z-table z(c) = 1,64
We compute z(s)
z(s) =( p₀ - p )/ √ p₀*q₀/n
z(s) = 0,03696 - 0,011 / √ (0,03696*0,9630)/ 32600
z(s) = 0,02596* 180,55/ √ 0,0356
z(s) = 4,687 / 0,189
z(s) = 24,9
Comparing z(s) and z(c) 24,9 > 1, 64
z(s) is out of the acceptance region and we have to reject H₀
We accept Hₐ there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally
What is the point slope form for (2,0)(4,6)
Answers
Answer:
0-y=3/4(x-2)
Step-by-step explanation:
Find all solutions in the interval [0, 2π) for 2 sin^2 x = sin x
Option A: x = pi divided by three., two pi divided by three.
Option B: x = pi divided by two, three pi divided by two., pi divided by three., two pi divided by three.
Option C: x = 0, π, pi divided by six, five pi divided by six
Option D: x = pi divided by six, five pi divided by six
(Will mark brainliest)
Answers
Answer:
D
Step-by-step explanation:
2 sin²x=sin x
2 sin² x-sin x=0
sin x(2 sin x-1)=0
sin x=0
x=0,π
2 sin x-1=0
2 sin x=1
sin x=1/2= sin π/6,sin (π-π/6)
x=π/6,5π/6
use the distributive property to find the answer to 21 x 4
Answers
Answer:
21(4)
Step-by-step explanation:
=84 that's all u have to do
PLEASE HELP!! DUE TODAY!!!!!
Answers
Answer:
i'm not good at algebra but i think it's 5
Step-by-step explanation:
a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag
Answers
Answer:
[tex]Expected\ Value = 3[/tex]
Step-by-step explanation:
Given
[tex]Red\ Balls = 3[/tex]
[tex]Blue\ Balls = 1[/tex]
Required
Determine the expected number of red balls
First, we calculate the probability of a red ball
[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]
[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]
[tex]P(Red\ Ball) = \frac{3}{4}[/tex]
[tex]P(Red\ Ball) = 0.75[/tex]
The expected value is then calculated as:
[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]
[tex]Expected\ Value = 0.75 * 4[/tex]
[tex]Expected\ Value = 3[/tex]
A store is on sale for 75% less than it’s original price of $24
Answers
Answer:
So wouldn't it be like $6 as the actual price now.
Step-by-step explanation:
Hope this helps if not let me know.
Sorry if it is wrong,
Please help
multiple choice
picture included
will appreciate it if you help!
Answers
Answer:
D
Step-by-step explanation:
The quotient of 2 and n is 2/n, not n/2, and if it's at most 6 that means it can equal 6 but can't go above it, so it's less than or equal to six. Hope this helped!
The perimeter of a square is 52 cm.
Calculate the area of the square.
Answers
Answer:
A = 169cm²
Step-by-step explanation:
Answer:
A=169cm²
Or
A=26.2in²
or
A=0.18ft²
Step-by-step explanation:
Type ALL the steps of writing the equation of the line given the slope of the line is −4 and a point on the line is (−2,1).
Answers
Answer:
y = -4x - 7
Step-by-step explanation:
we use the slope intercept formula given by; y = mx + b
b = y intercept, which is when x = 0
m = slope
so they tell us the slope.. we just need to find b - the y intercept.
y = mx + b
plug in your coordinates (-2,1)
1 = -4(-2) + b
1 = 8 + b
1 - 8 = b
-7 = b
put it all together.
y = -4x - 7
Which point is a solution to this system of inequalities?
y 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D) (4,1)
Answers
Answer:
h
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet
long. How tall is a man who can cast a shadow that is 14 feet long?
Answers
Don’t forget a brainliest if it’s correct ;)
Which number is a zero of the function f?
f(x) = x2 - x - 6
F 6
G2
H 3
IO
Answers
Answer:
zeros of the function are −2 and 3
Step-by-step explanation:
there is no -2 so H.3
GIVING BRAINLIEST PLEASE HELP!!!!!!!!!!!!!!!! Calculate the correlation coefficient of the following data: (1,1) (2,3) (3,6) (4,2) (7,9) (8,6) (10,7)
Answers
Answer:
The value of R is 0.7482.
Step-by-step explanation:
X Values
∑ = 35
Mean = 5
∑(X - Mx)2 = SSx = 68
Y Values
∑ = 34
Mean = 4.857
∑(Y - My)2 = SSy = 50.857
X and Y Combined
N = 7
∑(X - Mx)(Y - My) = 44
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 44 / √((68)(50.857)) = 0.7482
r = 0.7482
Sorry if I get this wrong Because not for sure how you need the awnsers I dont know if this is the right way
Mx: 5.000
My: 4.857
Sum: 68.000
Sum: 50.857
sum: 44.000
X Values
∑ = 35
Mean = 5
∑(X - Mx)2 = SSx = 68
Y Values
∑ = 34
Mean = 4.857
∑(Y - My)2 = SSy = 50.857
X and Y Combined
N = 7
∑(X - Mx)(Y - My) = 44
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 44 / √((68)(50.857)) = 0.7482
Meta Numerics (cross-check)
r = 0.7482
Lisa is a hairdresser. A cut and color is $85. If her customer gives her a 15% tip on the total cost, how much of a tip would Lisa get?
Answers
Answer:
$12.75 I think
Step-by-step explanation:
Answer:
Lisa got a total tip of $12.75.
Step-by-step explanation:
To answer this question, we just need to find 15% if $85.
85 x 0.15 = 12.75
This means, Lisa got a total tip of $12.75.
Hope this helps! :D
All you need is on the photo
Answers
Answer:
[tex]4^{-3}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\4^4*4^{-8}*4\\We\ know\ that,\ for\ any\ real\ number\ n, n^a*n^b=n^{(a+b)}\\Hence,\\First,\ lets\ write\ all\ the\ terms\ in\ an\ exponential\ form.\\4^4*4^{-8}*4^1\\=4^{(4+(-8)+1)}\\=4^{(5-8)}\\=4^{-3}[/tex]
Bob wants to distribute his fish and plants equally without having any left over. Help Bob find how many aquariums he needs. Use the fish and plant images to answer these questions. Insert the image of the fish and plant just like in Task 1’s introduction.
Part A
Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set.
Answers
answer: 6
Step-by-step explanation:
you have 6 containers. you out 4 fish in each and then 3 plants in each.
The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____.
Answers
Answer:
The standard error of the mean remains unchanged.
Step-by-step explanation:
Given that:
The standard error (S.E) of the mean [tex]= \dfrac{\sigma}{\sqrt{n}}[/tex] with is independent of confidence coefficient.
The margin of error [tex]E = z \times S.E[/tex]
This explains the claim that as the confidence coefficient reduces, the z-value also reduces, so as the Margin of error (E) but the standard error will always remain unchanged.
i.e.
From the question;
sample size n = 100
standard deviation = 1
mean = 3.0
The standard error (S.E) of the mean [tex]= \dfrac{1}{\sqrt{100}}[/tex]
= 0.1
So, if the confidence coefficient is reduced to 0.80, the standard error of the mean remains unchanged.
The radius of a sphere is increasing at a constant rate of 7 feet per second. At the instant when the volume of the sphere is 274 cubic feet, what is the rate of change of the volume? The volume of a sphere can be found with the equation V=4/3π(r)^3. Round your answer to three decimal places.
Answers
Please help with this. I will give you 5 score
Answers
why is side BD equal to side CE
Answers
Answer:
At each vertex at least 3 faces meet (maybe more).
Step-by-step explanation:
help lol i need good help-
Answers
Answer:
with what
Step-by-step explanation:
Meg ate 3/8 pound of blueberries. Jon ate 7/8 pound of blueberries. How many more pounds did Jon eat than
Meg?
Please help me
Answers
Answer:
4/8 more pounds
Step-by-step explanation:
7/8-3/8=4/8
Answer:
Jon ate 5/8 more pounds of blueberries than Meg.
Step-by-step explanation:
This is because the question is asking for the difference between how many blueberries Meg ate, and how many Jon ate. Therefore, we have to use subtraction.
7/8 - 3/8 = 5/8, therefore Jon ate 5/8 lb more than Meg.
The number that represent the parts per 100 is called the part
Answers
Answer: Is their a graph or something that goes with this. I dont understand.
Step-by-step explanation:
Answer:
What do you want to find?
Step-by-step explanation:
I don't understand...
Add more details and then I'll answer
slope = 2; y-intercept = -1
Answers
Answer:
line equation: y= 2x-1
Slope intercept formula
y=mx+b
m is also the slope
b is the y-intercept
y=2x+(-1)
+ positive sign and -negative sign= - negative sign
y=2x-1
Answer :
y=2x-1
Input
х
Output
Y
1
0
1
A
5
B
31
с
46
D
25
76
Answers
Answer: 46
Step-by-step explanation:
Yes !!
Can you help me plz?
Answers
Answer:
oki
Step-by-step explanation: