The shelf is made of 3 pieces of wood, each 0.3 meters wide. There is also 0.05 meter of space between the shelf and wall on each side. What is the width, in meters, of Joslyn's closet

Answer:

12x + y = 16

Step-by-step explanation:

Standard Form: Ax + By = C

Step 1: Write point-slope form

y + 4 = -12(x - 1)

Step 2: Find slope-intercept form

y + 4 = -12x + 12

y = -12x + 16

Step 3: Find standard form

12x + y = 16

Answer:

C. Quadratic

Step-by-step explanation:

Solve for a:

2 a^3 + a^2 + a + 4 = 0

Hint: | Look for a simple substitution that eliminates the quadratic term of 2 a^3 + a^2 + a + 4.

Eliminate the quadratic term by substituting x = a + 1/6:

23/6 + (x - 1/6)^2 + 2 (x - 1/6)^3 + x = 0

Hint: | Write the cubic polynomial on the left-hand side in standard form.

Expand out terms of the left hand side:

2 x^3 + (5 x)/6 + 104/27 = 0

Hint: | Write the cubic equation in standard form.

Divide both sides by 2:

x^3 + (5 x)/12 + 52/27 = 0

Hint: | Perform the substitution x = y + λ/y.

Change coordinates by substituting x = y + λ/y, where λ is a constant value that will be determined later:

52/27 + 5/12 (y + λ/y) + (y + λ/y)^3 = 0

Hint: | Transform the rational equation into a polynomial equation.

Multiply both sides by y^3 and collect in terms of y:

y^6 + y^4 (3 λ + 5/12) + (52 y^3)/27 + y^2 (3 λ^2 + (5 λ)/12) + λ^3 = 0

Hint: | Find an appropriate value for λ in order to make the coefficients of y^2 and y^4 both zero.

Substitute λ = -5/36 and then z = y^3, yielding a quadratic equation in the variable z:

z^2 + (52 z)/27 - 125/46656 = 0

Hint: | Solve for z.

Find the positive solution to the quadratic equation:

z = 1/216 (3 sqrt(4821) - 208)

Hint: | Perform back substitution on z = 1/216 (3 sqrt(4821) - 208).

Substitute back for z = y^3:

y^3 = 1/216 (3 sqrt(4821) - 208)

Hint: | Take the cube root of both sides.

Taking cube roots gives 1/6 (3 sqrt(4821) - 208)^(1/3) times the third roots of unity:

y = 1/6 (3 sqrt(4821) - 208)^(1/3) or y = -1/6 (208 - 3 sqrt(4821))^(1/3) or y = 1/6 (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3)

Hint: | Perform back substitution with x = y - 5/(36 y).

Substitute each value of y into x = y - 5/(36 y):

x = 1/6 (3 sqrt(4821) - 208)^(1/3) - 5/(6 (3 sqrt(4821) - 208)^(1/3)) or x = -1/6 (208 - 3 sqrt(4821))^(1/3) - (5 (-1)^(2/3))/(6 (3 sqrt(4821) - 208)^(1/3)) or x = 5/6 ((-1)/(3 sqrt(4821) - 208))^(1/3) + 1/6 (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3)

Hint: | Simplify each solution.

Bring each solution to a common denominator and simplify:

x = ((3 sqrt(4821) - 208)^(2/3) - 5)/(6 (3 sqrt(4821) - 208)^(1/3)) or x = -1/6 (208 - 3 sqrt(4821))^(1/3) - (5 (-1)^(2/3))/(6 (3 sqrt(4821) - 208)^(1/3)) or x = 1/6 (5 ((-1)/(3 sqrt(4821) - 208))^(1/3) + (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3))

Hint: | Perform back substitution on the three roots.

Substitute back for a = x - 1/6:

Answer: a = ((3 sqrt(4821) - 208)^(2/3) - 5)/(6 (3 sqrt(4821) - 208)^(1/3)) - 1/6 or a = -1/6 - 1/6 (208 - 3 sqrt(4821))^(1/3) - (5 (-1)^(2/3))/(6 (3 sqrt(4821) - 208)^(1/3)) or a = 1/6 (5 (-1/(3 sqrt(4821) - 208))^(1/3) + (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3)) - 1/6

Answer:

Yes because the y value is 0 thus the ordered pair is located on the x - axis

Step-by-step explanation:

Answer:

C is your best bet i got it good on ed

Answer:

-4.5

Step-by-step explanation:

Answer: none

Step-by-step explanation:

Answer:

400 divided by 10 Got it right in the assignment

Answer:400 divided by 10

Step-by-step explanation:

<3

Answer:

One goal that I would like to accomplish over the next twenty months is to become a better person. Academically and personally. As cliché as it sounds, I would love to get better grades. Personally, I would like to get better at my emotional regulation when working on school. I would love to discover better study habits.

Answer:

9; the initial fee.

Step-by-step explanation:

Answer:

0.6778 to 4 dec. places.

Step-by-step explanation:

That is  387 / (184+387)

= 387 / 571

= 0.677758

Answer: 1. Function 2. Not a function 3. Not a function

Step-by-step explanation:

( this is an guess so don’t judge much)

Answer: a and b are functions c is not a function

Step-by-step explanation:

I’m smart

Answer:

48

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

bc² - b

b = 2

c = -5

Step 2: Substitute and Evaluate

Answer:

48

Step-by-step explanation:

Hello,

[tex]bc^2-b=b(c^2-1)\\ \\\text{So for b = 2 and c = -5} \\\\2\times ((-5)^2-1)=2\times (25-1)=2\times 24 = 48[/tex]

Thanks

Answer:

The answer is 2.

Step-by-step explanation:

2 appears three times while the others appear only twice

Answer:

B

Step-by-step explanation:

The equivalent expression to - 11/4 is, - (-11/-4).

Option B is true.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The fraction is,

⇒ - 11/4

Now, By option B;

The number is,

⇒ - (- 11/ - 4)

Multiply by - 1 in denominator and numerator,

⇒ - (- 1 × - 11 / - 1 × - 4)

⇒ -  (11/4)

⇒ - 11/4

Thus, The equivalent expression is, - (-11/-4).

Learn more about the fraction visit:

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The complete question is this,

Which of the following expression are equivalent to -11/4?

A) - (11/ - 4)

B) - (-11/-4)

C) None of these

Answer: i think it would be 5

[tex]\sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \\[/tex]

Answer:

354 feet below sea level

Step-by-step explanation:

Subtract 23 from  215, then add 119

Answer:

I think c is the answers but I could be wrong

Answer: +2

Step-by-step explanation: :)

Answer:

Rounded to the hundreds is 500, and rounded to the tens place is 480.

Step-by-step explanation:

You figure out if 476 is closer to 480 or 470 and in this case it is closer to 480, thus that is the answer. Same thing goes for the hundredes place just focusing your attention in the tens or hundreds place.   - Hope this helps :)

Answer:

A. Going public  should be the answer!

Let me know if thats right or not!

Answer:

When a company can secure an additional capital without going into debt the best and suitable answer is Going public.

Answer:

Amanda bought 42 apples and gave 16 away how many are left.

Step-by-step explanation:

X=26

Answer:

Renee runs a dogwalking business. She walked 42 dogs over the weekend. On Saturday she walked 16 dogs but Renee can't remember how many she walked on Sunday. Write and equation to find how many dogs Renee walked on Sunday where x is the number of dogs she walked on Sunday.

Answer:

1000000

Step-by-step explanation:

Answer:

Haha

Step-by-step explanation:

Answer:

13) 0.61 cent

14) 13.78 $

15) 3.82 $

Step-by-step explanation:

Hope this helps

The required solutions are given as,
13) Discounted price of the walled 0.61 cents,
14) the sale price is given as $ 13.78,
15) sale price of the wallet is  $ 3.82,

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
(1)
The perfect wallet is on sale for 89% off its original $5.62 price,
Discounted price, = 5.62 - 89% of 5.62
                               = 5.62 - 0.89 × 5.62
                               = 5.62(1 - 0.89)
                               = 5.62(0.11)
                               = 0.61 cents

Similarly,
14) the sale price is given as $ 13.78,
15) sale price of the wallet is  $ 3.82,

Learn more about percentages here:

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Answer:

A. True

Step-by-step explanation:

A. P. E. X. Just took the quiz.

Answer:

Step-by-step explanation:

it is true

Answer:

The oval

Step-by-step explanation: A function must pass the vertical line test.

Answer:

The third one (oval)

Step-by-step explanation:

To see if something is a function or not, you do the vertical line test. So just draw lines vertically over the x-values. If an x-value has more than one y-value then it is not a function. It is a relation.

Answer:

1. 7 and 8

2. Pi so the second one

3. between the square root of 6 and the square root of 25

4. the only one left, which is the top one. I am in honors algebra. TRUST ME BROS

Step-by-step explanation: