He forgot to multiply x by 2 in step 1
He added x to both sides of the equation in Step 2 instead of subtracting
He added 1 on both sides of the equation in Step 3 instead of subtracting 1.
He multiplied by the reciprocal of 3 to get x=2 in Step 4.

Step-by-step explanation:

f(x) = 1/3|x|

then

f(x) = 1/3x  , if x ≥ 0

and

f(x) = -1/3x  , if x ≤ 0

the slope of f(x) = 1/3x is 1/3

the slope of f(x) = -1/3x is -1/3

this two above conditions apply on to the fourth graph to the right.

Answer:

16x and 2x have like terms

Answer:

B.

Step-by-step explanation:

Given: expressions

To find: the expression whose value is closest to e

Solution:

Value of e is 2.718

[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]

Therefore, value 2.659 is closest to the value of e.

So, option B. is correct.

Answer:

B

Step-by-step explanation:

Answer:

n=11

Step-by-step explanation:

n+1=4(n-8)

11+1=4(11-8)

12=4(3)

12=12

The line graph is bettee.

The better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given that, Mrs. Harless surveyed 18 students about the number of movies they watched this past summer, she used a circle graph and a line graph.

Since, a line graph used to track changes over short and long periods of time, It represents the change in a quantity with respect to another quantity. It shows how the value of something changes over time, or compare how several things change.

Whereas, a circle graph helps organize and show data as a percentage of a whole, it is divided into slices to illustrate numerical proportion.

Therefore, if Mrs Harless used a circle graph, it would be better to understand the data of the students.

Hence, the better display for the survey of 18 students about the number of movies they watched this past summer is a circle graph.

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Answer:

3 and -3

Step-by-step explanation:

because both have the same which is equal to 9 so it not above 25 or equal to 25

Answer:

c & F

Step-by-step explanation:

A. 25>25 true

B.144>25,true

C.9>25false

D.25>25 true

E.144>25 true

F.9>25 false

Answer:

Step-by-step explanation:

[tex]3d^{-4}*4d^{4}=3*4*d^{-4+4}\\\\ =12d^{0}\\\\=12*1\\\\=12[/tex]

Answer:

12

Step-by-step explanation:

[tex]3 {d}^{ - 4} .4{d}^{ 4} \\ \\ = 3.4 \frac{{d}^{ 4}}{{d}^{ 4}} \\ \\ = 12[/tex]

Answer:

Let x be the number of tickets sold to adults and y the number sold to students:

x + y = 315. But we know that y was double x, then :

y = 2x

Plug the value of y (in the 1st equation) by 2x:

 x+ 2x = 315

3x = 315

and x = 105 (which is the number of tickets sold to adults

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Step-by-step explanation:

The probability of getting exactly 7 tails is 1/32.

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

The number of times of toss of a fair coin is given as 8.

The probability of getting head is 1/2.

And, the probability of getting tail is 1/2.

The given problem can be solved using the expression of binomial distribution as ⁿCₓpˣqⁿ⁻ˣ, where p and q are the probability of success and failure respectively, n is the total number of trials and x is the favorable number of trials.

In order to find the probability of getting tail 7 times out of 8, the binomial distribution can be used as,

P(exact 7 tails) = ⁸C₇(1/2)⁷(1/2)¹

                        = 8 × 1/128 × 1/2

                        = 1/32

Hence, the probability of getting exactly 7 tails is 1/32.

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Answer:D

Step-by-step explanation:

The answer to the equation-12^6/12^4 is -144

So is-12^2.

Both equations equal -144 making -12^2 equivalent to -12^6/12^4

Hope I helped

Answer:

x= -4, x = 4

Step-by-step explanation:

Answer:

2 2/4 or 2 1/2

Step-by-step explanation:

since its like denominators,

3 minus 1= 2

then you move onto fractions

3/4 minus 1/4= 2/4

and if you wanted to simplify 2/4= 1/2

Answer:

a)400V2 plus 3,600 m2

Step-by-step explanation:

Answer:

400V2 + 3,600 m2

Step-by-step explanation:

Got it right on edge

Answer:

Step-by-step explanation:let x be the number of bicycles,

let y be the number of tricycles

given x+y=20→equation 1

also given 2x+3y=44→equation 2

from eq 1, y=20-x

substitudin ineq 2

2x+3(20-x)=44

2x+60-3x=44

60-x=44

-x=44-60

=-16

x=+16

then y=20-16=4

no of bicycles=16

no of tricycles=4

hope this helps

plzz mark me brainliest

Answer:

51.25

Step-by-step explanation:

Do you mean the surface area of the pyramid?

Base = [tex]2.5^2[/tex] = 6.25

Triangles = [tex]\frac{9 * 2.5 * 4}{2}[/tex]

9 * 2.5 * 2 = 45

45 + 6.25 = 51.25

Answer:

HOK =167

Step-by-step explanation:

HOK = HOI +IOJ + JOK

         = 44+46+ 77

          =167

Answer:

A mirror

Step-by-step explanation:

thats all

Answer:

23

Step-by-step explanation:

23 + 24 + 25 = 72

Answer:

x = 17°, m∠ A = 114°

Step-by-step explanation:

We can tell that these pair of angles are corresponding, provided;

Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,

m∠ A = m∠ B ⇒ Substitute values of A and B,

6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,

3x + 12 = 63 ⇒ Subtract 12 on either side of equation,

3x = 51 ⇒ Divide either side by 3,

x = 17 ⇒ Substitute value of x to solve for m∠ A,

m∠ A = 6 * ( 17 ) + 12,

m∠ A = 102 + 12,

m∠ A = 114

Solution; x = 17°, m∠ A = 114°

Answer:

x = 17, ∠A = 114°

Step-by-step explanation:

I'm 8 years old and I know how to do this.

6x + 12 = 3x + 63

3x + 12 = 63

3x = 51

x = 17

6(17) + 12

102 + 12 = 114

Answer:

n=37

Step-by-step explanation:

45-8=37

Answer:

n=37 easy math :)

Answer:

the ancer is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

General equation of line

y = mx + c

m is slope

y = (1/9)x - 1

1/9 is slope

Since the other line that passes through the point is perpendicular, the product of both slopes is -1

1/9 * m = -1

m = -9

Using point-slope method

y-y1 = m(x-x1)

y-3 = -9(x-(-1))

y-3 = -9(x + 1)

y-3 = -9x -9

y = -9x-6

Answer:

5.64

Step-by-step explanation:

v=pi(r)2h

hope this helps

Answer:

61 ft

Step-by-step explanation:

Answer:

The length of rectangle is 3x.

Step-by-step explanation:

Given that the perimeter of rectangle formula is P = 2l + 2w where l represents length and w is width. Then you have to substitute the expressions into the formula :

[tex]p = 2l + 2w[/tex]

Let p = 8x - 2,

Let w = x - 1,

[tex]8x - 2 = 2l + 2(x - 1)[/tex]

[tex]8x - 2 = 2l + 2x - 2[/tex]

Next you have to find the expression for length by moving all the unrelated terms to the other side :

[tex]8x - 2 - 2x + 2 = 2l[/tex]

[tex]2l = 6x[/tex]

[tex]l = 3x[/tex]

Answer:

1176 cm3

Step-by-step explanation:

Answer:

The stem and leaf plot is not shown, so I will answer the question in a general way.

Suppose you have the following stem and leaf plot

I 2 I 0 5 8

I 3 I 4 4 7 8

I 4 I 0

Then, the data is: 20, 25, 28, 34, 34, 37, 38, 40. In consequence, one department stores has exactly 37 pairs of glasses. But if your stem and leaf plot is:

I 2 I 0 5 8

I 3 I 7 7 7 8

I 4 I 0

then, three department stores have 37 pairs of glasses, and none of them have 34 pairs of glasses.