Answers
Answer:b
Step-by-step explanation:
Related Questions
What is the equation of BD, simplified?
Answers
Third option is the correct answer.
Answer:
[tex] y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2bc}{(2a - c)} \bigg][/tex]
Step-by-step explanation:
[tex]y - y_1 = m(x - x_1) \\ \\ y - 0 = \bigg[ \frac{2b}{(2a - c)} \bigg] (x - c) \\ \\ y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2b}{(2a - c)} \bigg]c \\ \\ \purple { \boxed{ \bold{y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2bc}{(2a - c)} \bigg]}}} \\ [/tex]
a polynomial of degree N has n
Answers
Answer:
see explanation
Step-by-step explanation:
According to the Fundamental theorem of Algebra.
A polynomial of degree n has n roots which may be real or complex or both.
Answer:
The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots
(counting multiplicity)
You own 13 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?
Answers
Answer:
1/154440
Step-by-step explanation:
To calculate the probability it would be the quotient between 1 and the number of ways to choose 5 out of 13, but in this case the order matters, so it would be the permutation 13P5, therefore:
We know that:
nPr = n! / (n-r)!
we replace and we have:
13P5 = 13! / (13-5)! = 154440
The probability that the rack ends up in alphabetical order is 1/154440
The probability that the rack ends up in alphabetical order is 1/154440
This is a question relating to permutation and combination. In order to calculate the probability, it would be the permutation 13P5, and this will be:
nPr = n! / (n-r)!
13P5 = 13! / (13-5)!
= 13! / 8!
= 13 × 12 × 11 × 10 × 9
= 154440
Therefore, the probability that the rack ends up in alphabetical order is 1/154440.
Read related link on:
https://brainly.com/question/6034318
All help is appreciated! If sin²(32°) +cos² (M) = 1, then M equals?
Answers
Answer: M=32°
Step-by-step explanation:
The identity sin²(x)+cos²(x)=1 can help us figure out the value of M. You can see that the problem's format fits exactly the identity. Since x is the same in the identity, we know that M=32°.
1. Write down a pair of integers
(a) sum is -7
Answers
Answer:
-10, 3
Step-by-step explanation:
-10, 3 work since
-10 + 3 = -7
Which of the following is equivalent to the polynomial given below?
Answers
Answer:
[tex](x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))[/tex]
Step-by-step explanation:
The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.
Notice that it is just [tex]+6x[/tex]. This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:
[tex](x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))[/tex]
[tex]x^{2} +(3+\sqrt{11}i)x+(3-\sqrt{11}i)x+(3+\sqrt{11}i)(3-\sqrt{11}i)[/tex][tex]x^{2}+3x+\sqrt{11}ix+3x-\sqrt{11}ix+9+3\sqrt{11}i-3\sqrt{11}i-(\sqrt{11})^{2}(i^{2})[/tex][tex]x^{2}+6x+9-(11)(-1)[/tex]
[tex]x^{2}+6x+9+11[/tex]
[tex]x^{2}+6x+20[/tex]
Therefore as we suspected, the answer is C.
The inside diameter of a randomly selected piston ring is a randomvariable with mean value 12 cm and standard devtiation of .04cm.
a. If Xbar is the sample mean diameter form a random sample of=16 rings, where is the sampling distrbution of Xbar centered andwhat is the standard deviation of the Xbar distribution?
b. Answer the questions above for a sample of size n=64
c.find the probability that the average diameter of pistonrings from a sample size 16 is more than 11.95cm
d. For which of the above two random saples is Xbar morelikely to be within .01cm of 12cm? Explain.
Answers
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean value (μ) = 12 cm and standard deviation (σ) = 0.04 cm
a) Since a random sample (n) of 16 rings is taken, therefore the mean (μx) ans standard deviation (σx) of the sample mean Xbar is given by:
[tex]\mu_x=\mu=12\ cm\\\sigma_x=\frac{\sigma}{\sqrt{n} }=\frac{0.04}{\sqrt{16} }=0.01[/tex]
The sampling distribution of Xbar is centered about 12 cm and the standard deviation of the Xbar distribution is 0.01 cm
b) Since a random sample (n) of 64 rings is taken, therefore the mean (μx) ans standard deviation (σx) of the sample mean Xbar is given by:
[tex]\mu_x=\mu=12\ cm\\\sigma_x=\frac{\sigma}{\sqrt{n} }=\frac{0.04}{\sqrt{64} }=0.005\ cm[/tex]
The sampling distribution of Xbar is centered about 12 cm and the standard deviation of the Xbar distribution is 0.005 cm
c) n = 16 and the raw score (x) = 11.95 cm
The z score equation is given by:
[tex]z=\frac{x-\mu_x}{\sigma_x} =\frac{x-\mu}{\sigma/\sqrt{n} } \\z=\frac{11.95-12}{0.04/\sqrt{16} }\\ z=-5[/tex]
P(x > 11.95 cm) = P(z > -5) = 1 - P(z < -5) = 1 - 0.000001 ≅ 1 ≅ 100%
d) for n = 64, the standard deviation is 0.01 cm, therefore it is more likely to be within .01cm of 12cm
Using the normal distribution and the central limit theorem, it is found that:
a) The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.01 cm.
b) The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.005 cm.
c) 100% probability that the average diameter of piston rings from a sample size 16 is more than 11.95 cm .
d) Due to the lower standard error, the sample of 64 is more likely to be within 0.01 cm of 12 cm.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 12 cm, thus [tex]\mu = 12[/tex]Standard deviation of 0.04 cm, thus [tex]\sigma = 0.04[/tex].Item a:
Sample of 16, thus [tex]n = 16[/tex] and [tex]s = \frac{0.04}{\sqrt{16}} = 0.01[/tex]
The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.01 cm.
Item b:
Sample of 64, thus [tex]n = 64[/tex] and [tex]s = \frac{0.04}{\sqrt{64}} = 0.005[/tex]
The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.005 cm.
Item c:
This probability is 1 subtracted by the p-value of Z when X = 11.95, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{11.95 - 12}{0.01}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a p-value of 0.
1 - 0 = 1.
100% probability that the average diameter of piston rings from a sample size 16 is more than 11.95 cm .
Item d:
Due to the lower standard error, the sample of 64 is more likely to be within 0.01 cm of 12 cm.
A similar problem is given at https://brainly.com/question/24663213
Hurrryy plzzz!!
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
Answers
-R
Find the measure of angle angle AEB in the figure below. Enter only the number. PLEASE HELP ASAP
Answers
Answer:
42°
Step-by-step explanation:
AD is a line
AEC and DEC are both 90°
AEB and CEB make up 90°
AEB+CEB=AEC substitute
AEB+48=90 Next use Subtraction property of equality
AEB=42
Hope this helps, if so please give me brainliest, it helps a lot. :)
Have a good day!
Answer:
∠AEB=42
Step-by-step explanation:
∠AEB and ∠BEC are inside of ∠AEC.
∠AEC is a right angle, Since ∠AEC and ∠CED are on a straight line, they must add to 180 degrees. ∠CED is a right angle (the little square in the corner tell us this), so ∠AEC must also be a right angle. This is because a right angle is 90 degrees (∠CED+∠AEC=180 --> 90+∠AEC=180 --> ∠AEC=90)
Therefore, the 2 angles (AEB and BEC) inside of ∠AEC must add to 90 degrees.
∠AEB+ ∠BEC= 90
We know that ∠BEC=48
∠AEB+48=90
We want to find out what ∠AEB is. We must get ∠AEB by itself. 48 is being added, and the inverse of addition is subtraction. Subtract 48 from both sides.
∠AEB+48-48=90-48
∠AEB=90-48
∠AEB=42
The point P(7, −2) lies on the curve y = 2/(6 − x). (a) If Q is the point (x, 2/(6 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x.
(i) 6.9
mPQ = 1
(ii) 6.99
mPQ = 2
(iii) 6.999
mPQ = 3
(iv) 6.9999
mPQ = 4
(v) 7.1
mPQ = 5
(vi) 7.01
mPQ = 6
(vii) 7.001
mPQ = 7
(viii) 7.000
mPQ = 8
(b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at
P(7, −2).
m = 9
(c) Using the slope from part (b), find an equation of the tangent line to the curve at
P(7, −2).
Answers
The equation of the tangent line to the curve at P(7, -2) is y = 2x -16.
For each given value of x, we substitute the coordinates of P and Q into the slope formula to find the slope mPQ.
(i) For x = 6.9:
mPQ = (2/(6 - 6.9) - (-2)) / (6.9 - 7)
= 2.22
(ii) For x = 6.99:
mPQ = (2/(6 - 6.99) - (-2)) / (6.99 - 7)
= 2.020
(iii) For x = 6.999:
mPQ = (2/(6 - 6.999) - (-2)) / (6.999 - 7)
= 2.002002
(iv) For x = 6.9999:
mPQ = (2/(6 - 6.9999) - (-2)) / (6.9999 - 7)
= 2.000200
(v) For x = 7.1:
mPQ = (2/(6 - 7.1) - (-2)) / (7.1 - 7)
= 1.818182
(vi) For x = 7.01:
mPQ = (2/(6 - 7.01) - (-2)) / (7.01 - 7)
= 1.980198
(vii) For x = 7.001:
mPQ = (2/(6 - 7.001) - (-2)) / (7.001 - 7)
= 1.998002
(viii) For x = 7.0001:
mPQ = (2/(6 - 7.0001) - (-2)) / (7.0001 - 7)
= 1.999800
By observing the pattern in the calculated slopes, we can see that as x approaches 7, the slope of the secant line PQ approaches 2.
Using the point-slope form, we have:
y - y₁ = m(x - x₁)
Substituting the values of P(7, -2), we have:
y - (-2) = 2(x - 7)
y = 2x -16
Therefore, the equation of the tangent line to the curve at P(7, -2) is y = 2x -16.
Learn more about the equation of the tangent line here:
https://brainly.com/question/31583945
#SPJ12
Solving by fractions
Answers
Answer: Step 3
Step-by-step explanation:
x = -9 or 1. She flipped the signs.
Hope it helps <3
━━━━━━━☆☆━━━━━━━
▹ Answer
Step 3
▹ Step-by-Step Explanation
Juliet flipped the signs. The final answer should be (-9, 1)
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
xpress 8/(1 - 2x)2 as a power series by differentiating the equation below. What is the radius of convergence? 4 (1 - 2x) = 4(1 + 2x + 4x2 + 8x3 + ...) = 4 [infinity] Σ n=0 (2x)n SOLUTION Differentiating each side of the equation, we get 8 (1 - 2x)2 = 4(2 + Correct: Your answer is correct. + 24x2 + ...) = 4 [infinity] Σ n=1 Incorrect: Your answer is incorrect. If we wish, we can replace
Answers
Recall that for |x| < 1, we have
[tex]\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]
Replace x with 2x, multiply 4, and call this function f :
[tex]f(x)=\dfrac4{1-2x}=\displaystyle4\sum_{n=0}^\infty(2x)^n[/tex]
Take the derivative:
[tex]f'(x)=\dfrac8{(1-2x)^2}=\displaystyle8\sum_{n=0}^\infty n(2x)^{n-1}=\boxed{8\sum_{n=0}^\infty (n+1)(2x)^n}[/tex]
By the ratio test, the series converges for
[tex]\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)(2x)^{n+1}}{(n+1)(2x)^n}\right|=|2x|\lim_{n\to\infty}\frac{n+2}{n+1}=|2x|<1[/tex]
or |x| < 1/2, so the radius of convergence is 1/2.
The population of a town increases by 5 % every five years. Due to a high rate of industrialisation of
the area, the population witnesses a further 5 % increase due to migration from neighbouring places.
Which of the following can be the population of this place, if it is known that the present population of
the place is between 44000 and 45000?
A) 44100
B)44050
C)44200
Answers
Answer:
A
Step-by-step explanation:
Because 105%*105%=1.1205
and the only number divisible by that is A
which of the following is a composite number? 6,1,0,19
Answers
Answer:
63
Step-by-step explanation:
A composite number is an integer which can be found by mulitplying 2 smaller integers, 7 and 9 in this case
A composite number is a number that is positive and has a factor that’s not 1 or itself.
Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?
Answers
Answer:
15 km/h
Step-by-step explanation:
Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?
15 minutes * (1 hour)/(60 minutes) = 0.25 hour
speed = distance/time
distance = speed * time
distance = 12 km/h * 0.25 hour = 3 km
He cycles a distance of 3 km.
12 minutes * (1 hour)/(60 minutes) = 0.2 hour
speed = distance/time
speed = 3 km/(0.2 hour)
speed = 15 km/h
a.) The perimeter of a rectangular field is 354 m. If the length of the field is 95m, what is its width? b.) The area of a rectangular painting is 8439 cm^2. If the width of the painting is 87cm, what is its length?
Answers
Answer:
a) 82
b) 97
Step-by-step explanation:
a) 354 - (95+95)
354 - 190
164
164 ÷ 2 = 82
(82+82+95+95=254)
b) 8439 cm^2 = 87x
8439 cm^2 ÷ 87 = 87x ÷ 87
97 = x
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answers
Answer: L = 20.25
Step-by-step explanation:
[tex]T=2\pi \sqrt{\dfrac{L}{32}}[/tex]
Given: T = 5, π = 22/7
[tex]5=2\bigg(\dfrac{22}{7}\bigg)\sqrt{\dfrac{L}{32}}\\\\\\\dfrac{5}{2}\bigg(\dfrac{7}{22}\bigg)=\sqrt{\dfrac{L}{32}}\\\\\\\dfrac{35}{44}=\sqrt{\dfrac{L}{32}}\\\\\\\bigg(\dfrac{35}{44}\bigg)^2=\bigg(\sqrt{\dfrac{L}{32}}\bigg)^2\\\\\\\bigg(\dfrac{35}{44}\bigg)^2=\dfrac{L}{32}\\\\\\32\bigg(\dfrac{35}{44}\bigg)^2=L\\\\\\\large\boxed{20.25=L}[/tex]
Consider the initial value problem y' + 3y = 9t, y(0) = 7.
a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below).
b. Solve your equation for Y(s).
Y(s) = L {y(t)} =
c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t).
y(t) =
Answers
Answer:
[tex]y(t) = 3x+8e^{-3x} -1[/tex]
Step-by-step explanation:
Recall that the following laplace transforms
[tex]L(y') = sY(s)-y(0)[/tex]
[tex]L(t) = \frac{1}{s^2}[/tex]
The laplace transform is linear, so, applying the laplace transform to the equation we get
[tex]L(y'+3y) = sY(s)-7+3Y(s) = L(9t) = \frac{9}{s^2}[/tex]
By some algebraic manipulations, we get
[tex] Y(s)(s+3) = \frac{9+7s^2}{s^2}[/tex]
which is equivalent to
[tex] Y(s) = \frac{9+7s^2}{s^2(s+3)} = \frac{9}{s^2(s+3)}+\frac{7}{s+3}[/tex]
By using the partial fraction decomposition, we get
[tex] \frac{9}{s^2(s+3)} = \frac{-1}{s} + \frac{3}{s^2} + \frac{1}{s+3}[/tex]
then
[tex]Y(s) = \frac{-1}{s} + \frac{3}{s^2} + \frac{1}{s+3} + \frac{7}{s+3} = \frac{8}{s+3} + \frac{3}{s^2}-\frac{1}{s}[/tex]
Using that
[tex] L(e^{-ax}) = \frac{1}{s+a}[/tex]
[tex]L(1) = \frac{1}{s}[/tex]
by taking the inverse on both sides we get
[tex] y(t) = L^{-1}(\frac{8}{s+3})+L^{-1}(\frac{3}{s^2})+L^{-1}(-\frac{1}{s}) = 8e^{-3x} + 3x-1[/tex]
help asap!! will get branliest.
Answers
Answer:
C
Step-by-step explanation:
A reflection is when the original diagram or picture is fliped exactly over the x axis.
HEYA!!
Answer:
Your Answer of the Question is C
if you want to prove it you can do the same thing in real life by drawing a 'W' on a paper and see its reflection on the mirror
HOPE IT MATCHES!!
find the common ratio of the geometric sequence: 16/3,4,3,…
Answers
Answer:
3/4
Step-by-step explanation:
r= a3/a2=3/4
or
r= a2/a1= 4÷16/3= 4×3/16= 3/4
Basic factoring. Please help!
Answers
Answer:
-1(3 - y)
Step-by-step explanation:
If you factor out a negative 1, you will get the opposite signs you already have, so -1(3 - y). To check, we can simply distribute again:
-3 + y
So our answer is 2nd Choice.
Please answer this correctly
Answers
Answer:
40%
Step-by-step explanation:
The numbers that are not even are 5 and 7.
2 numbers out of 5.
2/5 = 0.4
P(not even) = 40%
Answer:
[tex]40\%[/tex]
Step-by-step explanation:
5 and 7 are not the numbers
There are 5 numbers in the spinner
[tex]p = \frac{2}{5} \\ = \frac{2 \times 20}{5 \times 20} \\ = \frac{40}{100} \\ = 40\%[/tex]
Determine the slope of the line that has the following coordinates: (5, 9)(11, - 3)
Answers
Answer:
[tex] x_1 = 5, x_2 =11, y_1 =9, y_2 = -3[/tex]
The slope can be founded with this formula:
[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
And replacing we got:
[tex] m =\frac{-3 -9}{11-5}= -2[/tex]
And the best answer for this case would be :
[tex]m=-2[/tex]
Step-by-step explanation:
For this case we have the following two points given:
[tex] x_1 = 5, x_2 =11, y_1 =9, y_2 = -3[/tex]
The slope can be founded with this formula:
[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
And replacing we got:
[tex] m =\frac{-3 -9}{11-5}= -2[/tex]
And the best answer for this case would be :
[tex]m=-2[/tex]
What is the solution to this system of linear equations? x − 3y = −2 x + 3y = 16
Answers
Answer:
so x=5 1/3 and
y= -2 2/3
Step-by-step explanation:
x-3y= -2x+3y=16. First we need to move all variables to one side of the equation and whole numbers to the other side of the equation. I see
x-3y+2x-3y=16. -3y-3y equals to -6y. 2x+x=3x. so 3x-6y=16. Lets take out the -6y so our equation would be 3x=16. x would equal 5 1/3. Now lets put back -6y into our equation. Let's now substitute x as 0. 3 times 0 equals 0 so our equation would now be -6y=16 which equals to -2 2/3.
so x=5 1/3 and
y= -2 2/3
Answer: ( x = -32, y = -16 )
Step-by-step explanation:
This can be represented by the three sides of an equilateral triangle.
x - 3y = -2x + 3y , simplify
x + 2x - 3y - 3y = 0
3x - 6y =0
x - 2y = 0 ---------------------- 1
x - 3y. = 16 ---------------------2
Solve using any methods
By elimination
y. = -16.
Substitute for y in any of the equations
x - 2y = 0
x. - 2(-16) = 0
x + 32 = 0
Therefore
x. = -32
Solution is ( -32, -16 )
Please answer this correctly
Answers
Answer:
4/5 chance
Step-by-step explanation:
There are 4 numbers that fit the rule, 1, 3, 4, 5, since all of them are either odd or greater than 3. There will be a 4/5 chance of picking one.
Answer:
4/5 is the answer.Step-by-step explanation:
Facts!This is because 5 is odd and greater than 3.
Also. 4 is greater than 3.
After that, the other odd numbers are 1 and 3
So the numbers are 1, 3, 4, and 5.
So 4 out of 5 numbers are counted in the circle.
In this way 4/5 is the answer.
4/5 is the answer.Hope this helped!
Kavitha
Suppose the area of a circle is 201.0624 square feet. What's the diameter of the circle? (Use π = 3.1416.)
Answers
Answer:
16
Step-by-step explanation:
Area of circle Formula: A = πr²
d = 2r
Simply plug in what you know:
201.0624 = 3.1416r²
64 = r²
r = 8
d = 2(8)
d = 16
Please help me solve this!
Answers
Answer:
Step-by-step explanation:
a) AB=2AM
A__________M__________B
If M is the midpoint of AB, then AM = MB
Since AM=MB MB=2AM
Therefore AB=2AM
b)AM=1/2MB
sincs M is midpoint of AB.
then AM=BM....(1)
and also AM+BM=AB
AM+AM=AB from (1)..AM=BM
2AM=AB
AM=1/2AB
Can someone answer these questions dm me or just do it in the comments.
Answers
Answer:
1. 8/4+ 3= 5
2. 5/(10/2)= 1
3. 5+10/2=10
4. 8/2+5x5= 29
5. 5+3/15+2= 10.15
6. 30+6x11-11= 25.11
7. 12 + (19+2) / 3 =19
Step-by-step explanation:
---------------------------------------------
Student name : Aparna Guha
Class : 8th
Division : B
School : St. John's Marhauli
Suggested subject : Maths
Work given on : 08 : 07 : 2020
Completed on : 08 : 07 : 2020
Posted on : 08 : 07 : 2020
Topic : Worksheet 1
Teacher's name : Manish Goel
School name : St. John's Marhauli
----------------------------------------------
Population of town was 21000 in 1980 and it was 20000 in 1990. Assuming the population is decreasing continuously at a rate proportion to the existing population, estimate the population in 2010.
Answers
Answer:
19,000
Step-by-step explanation:
Here, we are to estimate the population in the year 2010
From the question, we can see that within a period of a decade which is 10 years, 1000 was lost
So within the period of another decade, it is possible that another 1000 be lost
The estimated population in the year 2010 is thus 20,000 - 1,000 =
19,000
The given equation has been solved in the table. In which step was the subtraction property of equality applied?
Answers
Answer:
Option (D)
Step-by-step explanation:
Subtraction property of equality tells that whatever subtracted from one side of the equation must be subtracted from the other side.
If x + 2 = 2,
By the property of subtraction of equality,
x + 2 - 2 = 2 - 2
x = 0
But in the given question,
[tex]\frac{x}{2}-7=-7[/tex]
[tex]\frac{x}{2}-7+7=-7+7[/tex]
shows the addition property of equality in step (2)
Therefore, subtraction property of equality was not applied.
Option (D) will be the answer.