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
PLEASE HELP NOBODY EVER ANSWERS MY QUESTIONS Rip van Winkle has fallen asleep for a very long time.
The length of his beard (in millimeters) as a function of time (in weeks) is graphed.
How long was Rip van Winkle's beard when he fell asleep?
Answers
Answer:
10 millimeters
Step-by-step explanation:
Don't listen to the other answerer who was trolling, I will actually help you. To find how long his beard was when he fell asleep, we need to find the y-intercept. The y-intercept marks how long his beard was right when he fell asleep. From looking at the graph, we can see that the y-intercept is 10. This means his beard was 10 millimeters long when he fell asleep. I hope this helps!
Answer:
10 meters
Step-by-step explanation:
if you look at the start os the graph, I shows that the Y intercept is 10, therefore, the answer is 10 meters.
- a friendly 8th grader :)
You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averages.
You want to use data from the previous season to help predict Batting Averages to know which players to pick for the upcoming season. You want to use Runs Score, Doubles, Triples, Home Runs and Strike Outs to determine if there is a significant linear relationship for Batting Averages.
You collect data to, to help estimate Batting Average, to see which players you should choose. You collect data on 45 players to help make your decision.
x1 = Runs Score/Times at Bat
x2 = Doubles/Times at Bat
x3 = Triples/Times at Bat
x4 = Home Runs/Times at Bat
x5= Strike Outs/Times at Bat
Interpret the slope(s) of the significant predictors for Batting Average (if there are any).
See Attached Excel for Data.
Baseball data.xlsx
Doubles/Times at Bat Triples/times at bat HR/Times at Bat SO/Times at Bat
0.049 0.012 0.013 0.086
0.039 0.013 0.002 0.062
0.045 0.021 0.013 0.074
0.043 0.001 0.03 0.032
0.044 0.011 0.07 0.076
0.047 0.018 0.05 0.007
0.036 0.008 0.012 0.095
0.03 0.006 0.003 0.145
0.05 0.008 0.061 0.112
0.041 0.005 0.014 0.124
0.047 0.012 0.009 0.111
0.058 0.01 0.011 0.07
0.041 0.009 0.005 0.065
0.037 0.003 0.004 0.138
0.058 0.014 0.011 0.032
0.05 0.012 0.05 0.06
0.04 0.008 0.049 0.233
0.038 0.013 0.003 0.068
0.06 0.016 0.085 0.158
0.066 0.021 0.037 0.083
0.051 0.02 0.012 0.04
0.052 0.008 0.054 0.095
0.037 0.003 0.043 0.135
0.063 0.026 0.01 0.031
0.054 0.027 0.01 0.048
0.025 0.006 0 0.061
0.044 0.003 0.022 0.151
0.063 0.02 0.037 0.081
0.045 0.008 0 0.252
0.053 0.017 0.013 0.07
0.041 0.007 0.051 0.264
0.057 0.03 0.017 0.058
0.029 0.007 0.011 0.188
0.034 0.019 0.005 0.014
0.038 0.006 0.015 0.142
0.068 0.016 0.022 0.092
0.042 0.009 0.066 0.211
0.052 0.008 0.054 0.095
0.049 0.007 0.038 0.101
0.044 0.007 0.002 0.205
0.037 0.003 0.004 0.138
0.061 0.002 0.012 0.147
0.049 0.012 0.021 0.13
0.026 0.011 0.002 0
0.053 0.005 0.039 0.115
Question 4 options:
There are no significant predictors.
When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .109/Times at Bat.
When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .313/Times at Bat.
When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .052/Times at Bat.
When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .225/Times at Bat.
When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .358/Times at Bat.
When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .389/Times at Bat.
When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .447/Times at Bat.
When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .991/Times at Bat.
When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .285/Times at Bat.
Answers
Solve the following ineg
a) x² - 5x +4> 0
2
Answers
Answer:
Inequality form: x<1 or x>4
Interval Notation:
(-∞,1)∪(4,∞)
I hope this helps you
Help please it’s supposed to be turned in
Answers
Answer:
30 i believe
Step-by-step explanation:
hope this helps. i say 30 because thats the only common multiple in those numbers :P
Please someone help me.
Answers
Answer:
Option C is the only correct answer.
Step-by-step explanation:
We can see from the number line that a is to the left of zero, so it is negative. This means option A is incorrect.
Since b is to the left of zero, b is also negative. This means that -b is positive. Since c is to the left of zero, c is negative. Therefore, option B is incorrect: a negative number can never be greater than a positive number.
We see from the number line that a is less than c. Since both a and c are negative, this implies that -a > -c. Therefore, option C is correct.
Calculate the value of k for which the polynomial equation f(x)=x^3-kx+12 has the root of x=-4
Answers
If x = -4 is a root of f(x), then dividing f(x) by x + 4 leaves a remainder of 0.
Compute the quotient,
(x³ - kx + 12) / (x + 4)
x³ = x² • x, and
x² (x + 4) = x³ + 4x²
Subtract this from the dividend (f(x)) to get an initial remainder of
(x³ - kx + 12) - (x³ + 4x²) = -4x² - kx + 12
-4x² = -4x • x, and
-4x (x + 4) = -4x² - 16x
Subtract this from the previous remainder to get a new one of
(-4x² - kx + 12) - (-4x² - 16x) = (16 - k) x + 12
(16 - k) x = (16 - k) • x, and
(16 - k) (x + 4) = (16 - k) x + 64 - 4k
which gives the next remainder,
((16 - k) x + 12) - ((16 - k) x + 64 - 4k) = 4k - 52
4k - 52 does not divide x, so we're done and what we've shown is
f(x) / (x + 4) = x² - 4x + 16 - k + (4k - 52)/(x + 4)
(just gathering the bold terms above and the last remainder)
The remainder should be 0, so that
4k - 52 = 0
4k = 52
k = 13
Help me quickkkk please
Answers
Answer:
with? i dont see any pic
plz answer it as fast as you can
Answers
Answer:JL=MO
Source:trust me bro
Whats 40% as a decimal and just a normal convo between me and my Childhood Bestfriend.
Answers
Answer:
0.4
Step-by-step explanation:
40% is 0.4
Remember the tenths places
Hope this help:)
If it does please subscribe To Rilo Productions
What is the first step in evaluating the expression shown below?
(12.9 – 3.1) × 6.2 – 2 + 43
A. Multiply 3.1 and 6.2
B.Add 2 and 43.
C.Subtract 3.1 from 12.9
D.Subtract 2 from 6.2.
HELPPPP
Answers
Answer:
C.Subtract 3.1 from 12.9
Step-by-step explanation:
brainest plz
Alexander is a stockbroker. He earns 12% commission each week. Last week, he
sold $5,400 worth of stocks. How much did he make last week in commission? If he averages that
same amount each week, how much did he make in commission 2011?
Answers
Answer:
A) $648 B) $33,696
Step-by-step explanation:
attached
There are 4 sharks and 5 dolphins. Write the ratio of sharks to dolphins. Then find and interpret the value of the ratio.
Answers
Answer:
here is the ratio 1 : 1.25 (sharks: dolphins)
Step-by-step explanation:
The ratio of sharks to dolphins is 4 : 5
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.
Thus, a = px, b = qx
Given Number of sharks = 4
Number of dolphins = 5
Therefore, the ratio of sharks to dolphins
= 4 : 5
Or 1 : 1.25
Number of animals = number of sharks + number of dolphins
Number of animals = 4 + 5 = 9
Learn more about ratio here:
brainly.com/question/186659
#SPJ2
Reduce the ratio to the lowest term: 60 : 75
Answers
hope this helps!
Answer:
4 : 15 is the answer for 60 : 75 to the lowest term
V
P
A
4 Here is an explanation that the angle sum of triangle ABC is 180°.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
С
B
5 Show that the interior angles of this shape add up to 360°.
Answers
Answer:
Step-by-step explanation:
360
Can someone check if my friend did it right?
Answers
Answer:
3 mi : 5 mi or 3 mi/5 mi
Step-by-step explanation:
Answer: it’s 3/5 (fraction form)
Hope this helps :)
Step-by-step explanation:
Put the first number on top and the second on the bottom, then simplify them.
Can someone answer all of them please ;-;
Answers
[tex]\LARGE\leadsto\sf m \angle E=41°[/tex]
[tex]\LARGE\leadsto\sf m \angle F=41°[/tex]
No-9:-[tex]\LARGE\leadsto\sf m \angle T=60°[/tex]
[tex]\LARGE\leadsto\sf m \angle V=30°[/tex]
No-10:-[tex]\LARGE\leadsto\sf m\angle G =75°[/tex]
[tex]\LARGE\leadsto\sf m \angle H=60°[/tex]
[tex]\LARGE\leadsto\sf m \angle J=45°[/tex]
-3(2+4k)+7(2k-1)
A. 2k-13
b. 8k-13
c. 2k+13
d. 2k-7
Answers
9514 1404 393
Answer:
A. 2k -13
Step-by-step explanation:
-3(2 +4k) +7(2k -1)
= -6 -12k +14k -7 . . . . . . eliminate parentheses
= (-12 +14)k -6 -7 . . . . . . group like terms
= 2k -13 . . . . matches choice A
GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points represents the largest number?
P
M
J
H
Answers
7, 12, 10, 18, 13, 23, 29, 15, 16, 18, 15, 12, 20
find the outlier. explain your answer.
Answers
Answer:
29
Step-by-step explanation:
the rest of the numbers are closer to each other but if you plot these you see that 29 doesnt belong
TIME REMAINING
41:17
What is the value of
due of (3-54(2)-16-2?
040
-16
ООО
24
56
Sigr
Answers
Answer:
700th
Step-by-step explanation:
vhzjjb zetas CD kinda cos dsuskskxn BBC bxhxjcjjdjdjjcfjjfjfjbdhduudjthfhhff&hdjdjjff#jfjjffj#
#enaa garntiii
Which expression has a value of -22?
Answers
Answer:
−5 ⋅ 2 − 12
Step-by-step explanation:
Sas asa sss aas or hL (7-11)
Answers
Answer:
Step-by-step explanation:
7) S A S
8) A A S
9) HL
10) A S A
11)A S A
hellllllllpppppppppppppppppppppp
Answers
Answer:他の答えを別の答えに移すことができ、それからミーズビルへの答えを得ることができるとき、それは数学の問題だと自分に言い聞かせてください。
Step-by-step explanation:there
adding fractions with unlike denominators
Answers
someone please help me!!! ill give brainliest
Answers
A heating pad takes 5,657 Watts during each time it is turned on. If you only use it for 28 minutes, how much CO2 was created? Round to 1 decimal.
Answers
Answer: 2.6 pounds of CO₂
Step-by-step explanation:
1 kilowatt per hour produces 0.99 pounds of C02.
The watts used was;
= (5,657 * 28/60 hours) / 1,000
= 2,639.93333333
In kilowatts;
= 2,639.93333333/1,000
= 2.6399333 kilowatts
CO2 produced;
= 2.6399333 * 0.99
= 2.613533967
= 2.6 pounds of CO2
Find the slope of the line tangent to the curve 3 x^2 y + cos(y) = (√3 + π)/2 at the point ( − 1 , π/6 ) .
Answers
Answer:
fuhghoierhfoqierhf
Step-by-step explanation:
if the farmer want to stop his soil from the erosion that was happening what would he need to do.
Answers
Answer:
Crop Rotation: Rotating in high-residue crops — such as corn, hay, and small grain — can reduce erosion as the layer of residue protects topsoil from being carried away by wind and water. Conservation Tillage: Conventional tillage produces a smooth surface that leaves soil vulnerable to erosion.
Step-by-step explanation:
Despite how rapidly it progresses, it affects land productivity, soil fertility, degrades water quality, and damages water drainage. ... Erosion, in turn, facilitates the process of groundwater pollution, and the stiffened structure of soil impedes the flow of water in deeper layers.
someone help me with this
Answers
Answer:
-30 is the right one if u need help tell me ;)-
Step-by-step explanation:
:)
Jennifer’s mom is putting a basketball hoop on the garage. The garage door is 8 feet high. There is 7 feet of wall between the top of the garage door to the garage roof. How far down from the garage roof should the hoop be placed so that it is 10 feet above the ground?
a) 3
b) 5
c) 4
d) 2
Answers
Answer:
B
Step-by-step explanation: