The solution of this equation has an error. Which of the following steps has the error?

18 − (3x + 5) = 8
Step 1: 18 − 3x + 5 = 8
Step 2: -3x + 23 = 8
Step 3: -3x = -15
Step 4: x = 5

Answer:

[tex]P=16ft[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter [tex]d=16ft[/tex]

Depth [tex]dp=1ft[/tex]

Generally the equation for a Parabola is mathematically given by

 [tex]y=ax^2[/tex]

Since of the parabola has

Diameter [tex]d=16ft[/tex]

Depth [tex]dp=1ft[/tex]

Therefore it passes through

 [tex]x=(8,1)[/tex]

Therefore

 [tex]1=a(8)^2[/tex]

 [tex]a=\frac{1}{64}[/tex]

Since P(distance from focus to the vertex)

 [tex]a=\frac{1}{4p}[/tex]

Substituting

 [tex]\frac{1}{64}=\frac{1}{4p}[/tex]

 [tex]P=16ft[/tex]

Answer:

b+23≥-276

b≥-276-23

b≥-299

Step-by-step explanation:

hope this is helpful

Answer:

1

Step-by-step explanation:

The average rate of change is the gradient _

Gradient = Rise / Run = (y2 - y1) / (x2 - x1)

From the table ;

x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0

Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1

Answer:

D

Step-by-step explanation:

The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP

DC has the length of 6 and because MP is congruent to DC it also has 6.

1. The given series is

 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) =  

For n=1

L.H.S=4.6=24

R.H.S=[4×5×15]÷6

      =300÷6

      =50

So, for n=1,

L.H.S≠ R.H.S

Since the given expression is true for n=1 ,

So , the given series is untrue.

we should replace R.H.S by=4(n+1)(n+2)(4n-3)²

2.

12+42+72+.......+(3 n -2)2=

For n=1,

L.H.S=12

R.H.S=1×(6-3-1)/2

       =2/2

      =1

As L.H.S≠ R.H.S

We should Replace R.H.S by [(3 n-1)(3 n-2)]2

3.The given sequence is

2+4+6+....+2n=n(n+1)

L.H.S

P(1)=2

R.H.S

1×(1+1)

=1×2

=2

( b)  L.H.S

P(n)=2+4+6+.....2 k

This is an A.P having n terms.

tex]S_{n}=

              = n(n+ 1)

R.H.S=n(n+1)

So, P(k)=k(k+1)

(c) P(k+1)=2+4+6+.......+2(k+1)

This is an A.P having (k+1) terms.

              =(k+1)(k+2)

So, P(k+1)= (k+1)(k+2)

(Btw this is not my answer)

Answer:

ASA

Step-by-step explanation:

they share the side in the middle (reflexive property) and have two congruent angles

Answer:f(g)=2

Step-by-step explanation:

Answer: I only need the points :) <3

Step-by-step explanation: Two competing companies are having sales on laptops. Laptop #AX330M has a retail price of $2,100. The Buy Less is advertising #AX330M for 15% off, while Sell More has stated they will match any competitor’s advertised special and take an additional 10% off of the competitor’s advertised price. How much money is saved by purchasing the laptop from Sell More instead of Buy Less?

Answer:

Step-by-step explanation:

20/5=4

as both the diagrams are similar.

so area of ABCD=4² ×area of EFGH=16×40=640 sq.cm.

Answer:

after 4 rule violations he will recieve -100 points. so if total points is 100, then the driver gets 0 points

Answer:

Step-by-step explanation:

hope it may help u

please mark as brainlist

(๑˙❥˙๑)

Answer and Step-by-step explanation:

Simply solve for x (very easy to do).

4x + 9 = 41

Subtract 9 from both sides of the equation.

4x = 32

Divide both sides of the equation by 4.

x = 8

x is equal to 8.

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

the third number is 17 thank you very much please mark me the brainliest you can calculate the answer by supposing the number as one of the variables I supposed it as X so similarly similarly making it as an equation the equation will be 25 is equal to 18 + 40 + X by 3 similarly when you solve the equation you get the answer thank you please mark me the brainliest thank you

The third number is 17

Average

The average of numbers is the mean value of the numbers

The given parameters are:

Assume the third number is x

So, the average is calculated as:

[tex]Average = \frac{\sum x}{3}[/tex]

This gives

[tex]\frac{18 + 40 + x}{3} = 25[/tex]

[tex]\frac{58 + x}{3} = 25[/tex]

Multiply both sides by 3

[tex]58 + x = 75[/tex]

Subtract 58 from both sides

[tex]x = 17[/tex]

Hence, the third number is 17

Read more about average at:

https://brainly.com/question/20118982

9514 1404 393

Answer:

  5x +2y = 20

Step-by-step explanation:

Suppose 'a' is the x-intercept of the line.

Then the slope is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5)/(a -2)

And the y-intercept is ...

  b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)

The area of the triangle is half the product of 'a' and 'b', so is ...

  A = 1/2ab

  A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)

The area is minimized when the derivative of this is zero.

  A' = 2.5 -10/(a -2)^2 = 0

Solving for 'a' gives ...

  (a -2)^2 = 10/2.5 = 4

  a = 2 + 2 = 4 . . . . . . . . . . . x-intercept

  b = 5 +10/(4 -2) = 10 . . . . . y-intercept

  m = -5/(4 -2) = -5/2 . . . . . . slope

An equation of the line is ...

  y = -5/2x +10 . . . . . slope-intercept form

  5x +2y = 20 . . . . . standard form

__

You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.

Answer:

(2x + 35)/3

Step-by-step explanation:

f(2x + 3) = 3x - 8

= 3(2x)/2 - 8

= 3(2x + 3 - 3)/2 - 8

= 3(2x + 3)/2 - 3(3)/2 - 8

= ( 3(2x + 3) - 25)/2

Therefore, f(x) = (3x - 25)/2

Let f(x) = (3x - 25)/2 = y

Therefore,

x = (2y + 35)/3 = f(y)

Hence,

f-¹(x) = f(y) = (2y + 35)/3

Just by merely replacing y,

f-¹(x) = (2x + 35)/3

Answer:

Step-by-step explanation:

[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]

lets assume that f(x) is a line, so f(x)=mx+b

[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]

the follow equation system results:

[tex]2m=3 \\ 3m+b=-8[/tex]

[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]

finally:

[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]

now is time to calculate the inverse function:

[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]

so

[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]

Answer:

The answer is B--> 111 degrees

Answer:

Here

X=75+36(Exterior angle of a triangle is equal to sum of interior opposite angle)

X=111

Answer:

900,900 outcomes are possible.

Step-by-step explanation:

Arrangements with repetition:

The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:

[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]

A dancing competition has 13 competitors

This means that [tex]n = 13[/tex]

Four are American, two are Mexicans, four are Russians and three are Italians.

This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]

How many outcomes are possible?

[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]

900,900 outcomes are possible.

Answer:

$14,386.25

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

Answer:

5/8

Step-by-step explanation:

Find the common ratio by dividing one of the numbers in the sequence by the previous one:

480/768

= 0.625

Convert this to a fraction:

0.625

= 5/8

So, the common ratio is 5/8

Answer:

7 × 5 :2 it is the answer ,i love you

Answer:

C

Step-by-step explanation:

8×26×6=1200 cubic centimeters

hence, C is the closest

Answer:

(776) (2y-4)²

(776) (4y²-8y-8y+16)

(776)(4y²-16y+16)

=3104y²-12416y+12416

ratio of medium shirts to large shirts

63/27

=7:3 [Ans]

Answer:

x = 80

Step-by-step explanation:

The sum of the angles of a triangle is 180

30+70+x = 180

100 +x = 180

x = 180-100

x = 80

Answer:

1/12

Step-by-step explanation:

The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.

The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf

The third time, they have a 3/8 chance because they have already removed 2 magazines.

Multiply all of the probabilities together

5/10 * 4/9 * 3/8 = 60/720

Simplify:

60/60 / 720/60 = 1 / 12

Hope this helps!

Answer:

c = (ef-ab)/d

Step-by-step explanation:

ab+cd = ef

Subtract ab from each side

ab+cd -ab = ef-ab

cd = ef-ab

Divide by d

cd /d =(ef-ab)/d

c = (ef-ab)/d

Answers:

==========================================================

Explanation:

For now, focus on the triangle with angles 'a', 71 and 40 degrees.

Recall that for any triangle, the inside angles always add to 180

a+71+40 = 180

a+111 = 180

a = 180-111

a = 69

---------------

Notice how angles b and 133 are adjacent and form a straight angle. This makes them supplementary. Meaning they add to 180

b+133 = 180

b = 180-133

b = 47

---------------

Let angle f be adjacent to angle c, and part of the triangle with angles 'a' and b.

Use the rule mentioned in the first section

a+b+f = 180

69+47+f = 180

116+f = 180

f = 180-116

f = 64

Now we can find angle c, because angles f and c are supplementary

c+f = 180

c+64 = 180

c = 180-64

c = 116

We could also use the remote interior angle theorem to say that a+b = c, so c = a+b = 69+47 = 116

---------------

Next, focus your attention on the 140 degree angle. The missing adjacent angle to this is 180-140 = 40 degrees

Now focus on the triangle that has angles d, 40, and 47. The "40" being what we just calculated in the previous paragraph.

We'll do the same thing as before

d+40+47 = 180

d+87 = 180

d = 180-87

d = 93

---------------

The angle just above angle d is also the same (vertical angles). This upper triangle has angles 40, d and g, where g is unknown. Let's find it.

40+d+g = 180

40+93+g = 180

133+g = 180

g = 180-133

g = 47

The vertical angle across from this is also 47 degrees.

Similarly, we can move that angle b over to its vertical pairing counterpart.

The smallest triangle at the very top has angles e, b, and g

e+b+g = 180

e+47+47 = 180

e+94 = 180

e = 180-94

e = 86

Aspongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

Answer:

Step-by-step explanation:

anything  1-6

Here is one:                                                         PEMDAS

12- ( 6 + 3) - 19 x 1 divided by 1

I hope this helps