F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?

(A) 5yards

(B) 7yards

(C) 8yards

(D) 10yards

(E) 17yards

[tex]\large\boxed{\tt\:Question}[/tex]

x² - 8x + 12 = 0

Hello meremyj! Here's your answer with explanation.

[tex]\large\boxed{\tt\:Answer\:with\:Explanation}[/tex]

[tex]x ^ { 2 } - 8 x + 12[/tex]

Use the biquadratic formula =》 [tex]x=\frac{-b±\sqrt{\left(-b\right)^{2}-4 ac}}{2}[/tex]

Now,

Using the biquadratic formula & substituting the values....

[tex]x=\frac{-\left(-8\right)±\sqrt{\left(-8\right)^{2}-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-4\times 12}}{2} \\x=\frac{-\left(-8\right)±\sqrt{64-48}}{2} \\x=\frac{-\left(-8\right)±\sqrt{16}}{2} \\x=\frac{-\left(-8\right)±4}{2} \\\underline{\underline{x=\frac{8±4}{2}} }[/tex]

Now, solve when  [tex]x=\frac{8+4}{2}[/tex]

[tex]x=\frac{8+4}{2}\\x=\frac{12}{2} \\\boxed{\bf\:x=6 }[/tex]

Now, solve when [tex]x = \frac{8-4}{2}[/tex]

[tex]x = \frac{8-4}{2}\\x = \frac{4}{2}\\\boxed{\bf\:x=2}[/tex]

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Hope it'll help you!

Lucäžž

Answer: (((trueeee))))

Since the least squares problem always has a unique solution. Therefore, the given statement is true.

The given statement is "Least squares regression problems always have a unique solution since they are modelled by the normal equation".

The least squares problem always has a solution. The solution is unique if and only if A has linearly independent columns. S equals Span(A) := {Ax : x ∈ Rn}, the column space of A, and x = b.

Therefore, the given statement is true.

To learn more about least squares regression visit:

https://brainly.com/question/2141008.

#SPJ2

Answer:

The line is y = (1/2)x + 3

Step-by-step explanation:

We can calculate a slope.  I'll use the two points (-4,1) and (-1,2.5).

Rise = (2.5-1) = 1.5

Run = (-1-(-4)) = 3

Rise/Run = Slope = (1.5/3.0) = 1/2

Find b, the y-intercept, by using point (-4,1) in the equation y = (1/2)x + b

y = (1/2)x + b

1 = (1/2)*(-4) + b

1 = -2 + b

b=3

The line is y = (1/2)x + 3

78

Step-by-step explanation:

23+28+16+11=78

people who was interested in the restaurant

Answer:

3.5 days

Step-by-step explanation:

If it takes 7 pupils 5 days, then it would take 1 pupil 7 times as long, or 35 days.

1 pupil alone cleans the auditorium is 35 days.

10 pupils work 10 times faster than 1 pupil, so 10 pupils take 3.5 days.

Answer:

thx for points ....,..................

Answer:

B-at the second line

Step-by-step explanation:

hope it can help you lovelots

#LEARN WITH BRAINLY

[tex]x^2 +6x +18 =0\\\\\implies x^2 + 2 \cdot 3 \cdot x + 3^2 -3^2 +18 =0\\\\\implies (x+3)^2 -9 +18 =0\\\\\implies (x+3)^2 +9 =0\\\\\implies (x+3)^2 =-9[/tex]

Answer:

C or B of are the answer choices left hope this helps

Answer:

15 would be the rounded up number.

Answer:

x-intercept(s): (-2, 0), (6, 0)

y-intercept(s): (0, -6)

Step-by-step explanation:

An x-intercept represents the point(s) at which the parabola intersects the x axis.  A parabola can have 0, 1, or 2 x-intercepts.  

A y-intercept represents the point at which the parabola intersects the y axis.  A parabola always has exactly 1 y-intercept.

Hope it helps :) and let me know if you're still confused.

Answer:

Step-by-step explanation:

Given,

Number of words Lucy can type in 5 minutes

= 300 words

So,

Number of words Lucy can type in 1 minute

[tex] = \frac{300}{5} \: words[/tex]

= 60 words

Therefore,

Number of words Lucy can type in 27 minutes

= (60 × 27) words

= 1,620 words

Hence, Lucy can type 1620 words in 27 minutes.

Answer:

broo I have to download it just take a screenshot.....

Answer:

Step-by-step explanation:

a) ∠ABD + ∠DBC = 90°

4x - 3 + 7x - 6 = 90

4x + 7x - 3 - 6 = 90

       11x -  9     = 90

              11x    = 90 + 9

              11x    = 99

                   x = 99/11

x = 9

∠ABD = 4*9 - 3 = 36 - 3 = 33

Answer:

yes I would like to hope on a meet that will be fun

Answer:

A^7x^2/B

Step-by-step explanation:

If you are asking for the value of x, then x = not defined because dividing a value by 0 will always give you a non-defined answer. So, x can be equal to any number (there can be infinite values).

Next, if you want to prove that both the statements are true, then yes it's true because RHS = LHS = 0.

Check the 2 attachments for the steps.

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RainbowSalt2222 ☔

Answer:

infinite number of solutions

Step-by-step explanation:

x - ([tex]\frac{x}{5}[/tex] + 60) = [tex]\frac{4}{5}[/tex] x - 60 ← distribute parenthesis on left by - 1

x - [tex]\frac{x}{5}[/tex] - 60 = [tex]\frac{4}{5}[/tex] x - 60 , collect like terms on left side

[tex]\frac{4}{5}[/tex] x - 60 = [tex]\frac{4}{5}[/tex] x - 60

Since expressions on both sides are equal then any value of x is a solution.

That is there is an infinite number of solutions

Answer:

f(g(x)) = 12x² - 36x + 28

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x) )

= f(2x - 3)

= 3(2x - 3)² + 1 ← expand factor using FOIL

= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3

= 12x² - 36x + 27 + 1 ← collect like terms

= 12x² - 36x + 28

Answer:

Well to calculate slope you just do

y2-y1/ X2-x1

In this case

9-8/3-2

Which is 1/1

THe slope is 1

Answer:

1

Step-by-step explanation:

The slope is going to be the ratio between the difference of y coordinates, and the difference in x coordinates.

[tex]m= \frac{\Delta y}{\Delta x} = \frac{3-2}{9-8} = \frac11 = 1[/tex]

Answer:

14.1372 m

Step-by-step explanation:

Answer:

  x ≤ 5 5/8

Step-by-step explanation:

  8x +15 ≤ 60 . . . . . . given

  8x ≤ 45 . . . . . . . . . subtract 15

  x ≤ 5 5/8 . . . . . . . . divide by 8

The graph is a solid dot at x = 5 5/8, with shading extending to the left.

Step-by-step explanation:

area of triangle,=1/2*base*height

30=1/2*10/h

h=6cm

Answer:  Height=6cm

Step-by-step explanation:

Area of triangle =30cm²

Base=10cm

Height=?

Area=1/2*base*height

30=1/2*10*height

Height=30*2/10

Height=6cm

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

Work Shown:

The first four terms are: -4, 14, -22, 50

The idea is to start with the first term (-4) and use the template [tex]\text{nth term} = -2*(\text{previous term}) + 6[/tex] to generate each new term. We multiply the previous term by -2, then add on 6. This is exactly what the recursive equation [tex]a_n = -2(a_{n-1})+6[/tex] is indicating.

Answer:

Pattern B

A quadratic relationship is characterized by constant second differences.

Pattern A

Sequence: 0, 2, 4, 6

First Differences: 2, 2, 2 . . . . constant indicates a 1st-degree (linear, arithmetic) sequence

__________________________________________________________

Pattern B

Sequence: 1, 2, 5, 10

First Differences: 1, 3, 5

Second Differences: 2, 2 . . . . constant indicates a 2nd-degree (quadratic) sequence

__________________________________________________________

Pattern C

Sequence: 1, 3, 9, 27

First Differences: 2, 6, 18

Second Differences: 4, 12 . . . . each set of differences has a common ratio, indicating an exponential (geometric) sequence

__________________________________________________________

Pattern B shows a geometric relationship between step number and dot count.

Answer: x < -44

Step-by-step explanation:

alright my fellow dude gamer, i want you to know that "a number" is basically just x

so lets do this

[tex]\frac{1}{4}x + 13 < 2[/tex]

ok now we are going to solve for x, no?

[tex]\frac{1}{4}x < -11[/tex]

i just subtracted 13 from both sides

now we divide -11 by 1/4

[tex]x < -44[/tex]

MAGIC! ABSOLUTELY FANTASTIC! OH MY GOODNESS AHHHHHHH

Answer:

15 boys

Step-by-step explanation:

Step 1: Set up the equation.

Step 2: Combine like terms.

Step 3: Divide both sides by 7.

Step 4: Plug in the value of 5 for x in 3x.

Therefore, the answer is 15 boys.

Answer:

the highest choices are red and green