What is 2/8 in its simplest form

Step-by-step explanation:

a = 2

b = 1

c = 4

[tex]3ac - a + 2b[/tex]

= Solution ,

= 3 × 2 × 4 - 2 + 2 × 1

= 24 - 2 + 2

= 24 + 2 - 2

= 26 - 2

= 24

hence the answer is 24....

Answer:

  x = -3, 0, or 7

Step-by-step explanation:

After removing common factors, the remaining quadratic can be factored by comparison to the factored form of a quadratic.

__

Write the equation in standard form.

  4x³ -16x² -84x = 0

Factor out the common factor from all terms.

  = 4x(x² -4x -21) = 0

Compare to the factored form of a quadratic:

  (x +a)(x +b) = x² +(a+b)x +ab

This tells you the constants 'a' and 'b' in the factors can be found by considering ...

  (a+b) = -4 . . . . the coefficient of the x term of the quadratic

  ab = -21 . . . . . the constant term of the quadratic

It is often helpful to list factor pairs of the constant:

  -21 = (-21)(1) = (-7)(3) . . . . integer pairs that have a negative sum

The sums of these pairs are -20 and -4. We are interested in the latter. We can choose ...

  a = -7, b = 3

Put it all together.

  4x³ -16x² -84 = (4x)(x -7)(x +3) = 0 . . . . . factored form of the equation

Apply the zero product rule. This rule tells you the product of factors will be zero when one or more of the factors is zero:

  4x = 0   ⇒   x = 0

  x -7 = 0   ⇒   x = 7

  x +3 = 0   ⇒   x = -3

Solutions to the equation are x ∈ {-3, 0, 7}.

_____

Additional comment

What we did in Step 3 is sometimes referred to as the X-method of factoring a quadratic. The constant (ab product) is put at the top of the X, and the sum (a+b) is put at the bottom. The sides of the X are filled in with values that match the product and sum: -7 and 3. The method is modified slightly if the coefficient of x² is not 1.

A graphing calculator often provides a quick and easy method of finding the real zeros of a polynomial.

Answer:

2513 miles

Explanation:

[tex]\sf Length \ of \ arc = \dfrac{\theta}{360} * 2\pi r[/tex]

Here given:

∅ = 36°

radius = 4000 miles

Insert following:

[tex]\sf \rightarrow \dfrac{36}{360} * 2\pi (4000)[/tex]

[tex]\sf \rightarrow 800\pi \ \ \ (in \ terms \ of \ \pi )[/tex]

[tex]\sf \rightarrow 2513.3 \ \ (rounded \ to \ nearest \ tenth)[/tex]

[tex]\sf \rightarrow 2513 \ \ (rounded \ to \ nearest \ mile)[/tex]

The economic order quantity of the product with the demand of 390 units is 1392.86 units.

This refers to an inventory management technique that helps make efficient inventory management decisions.

The formula for economic order quantity is [tex]\sqrt{2 * D * S / H}[/tex]

Given data

Demand = 390 units.

Unit price of product is ETB 25.

Ordering cost is ETB 40 per order

inventory carrying cost is estimated to be 35 percent per yer

EOQ = [tex]\sqrt{2*390*25/40*0.35}}[/tex]

EOQ = 19,500 / 14

EOQ = 1392.85714286

EOQ = 1392.86 units

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The fact that the healthy school lunch has a higher price than the current lunch means that it has a higher economic cost.

An economic cost in this scenario, is the increased cost that comes with a commodity having greater perceived value.

A healthy school lunch will help a person stay healthy which is why it has more value than the current lunch. This is the reason for its higher price.

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Answer: cost

Step-by-step explanation:

Answer:

$8.78

Step-by-step explanation:

first you need to find 20% of $175.50

which is 35.10

then you divide 35.10 by 4 leaving you with 8.78

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The value of the expression will be   [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The value of the expression is [tex]xy+\dfrac{1}{xy}=2[/tex]

So we need to find [tex](xy)^2+\dfrac{1}{(xy)^2}=?[/tex]

The value of the expression will be calculated as:-

 [tex]xy+\dfrac{1}{xy}=2[/tex]

Squaring the above equation.

[tex](xy)^2+\dfrac{1}{(xy^2)}+2\times (xy)^2\times \dfrac{1}{(xy^2)}=4[/tex]

[tex](xy)^2+\dfrac{1}{(xy^2)}=2[/tex]

Again squaring the above expression.

[tex](xy)^4+\dfrac{1}{(xy^4)}+2\times (xy)^4\times \dfrac{1}{(xy^4)}=4[/tex]

[tex](xy)^4+\dfrac{1}{(xy^4)}=2[/tex]

Hence the value of the expression will be   [tex](xy)^2+\dfrac{1}{(xy)^2}=2[/tex]

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The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.

Here, Number of apple and lime is 9 + 11 =20

Total bag contains = 13 + 9 + 11 = 33

Probability = Number of apple or line / Total

                   = 20 / 33

                   = 60.6 %

Thus, The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.

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Answer:

see below

Step-by-step explanation:

start with cos (x)

  amplitude 4

      4 cos x

      midline 2

          4 cos (x )    + 2

        period of 1   :      2 pi / 1 = 2 pi   

                multiply x   by 2pi

                        4 cos ( 2 pi x)  + 2

Answer:

I believe it should be the first one

Step-by-step explanation:

in the first one if you put a line straight it would cross it twice making it not function.

Answer:

The first one is not a function.

Step-by-step explanation:

When you perform the vertical line test on the graphs, the first graph is the only one that passes through a X value multiply times.

Answer:

Don't understand retype your question

Answer:

3 cups of butter ivy will have left over

Answer:

219.8 square cm

Step-by-step explanation:

[tex]s = 2\pi r^{2} +2\pi rh\\s=2(3.14)5^{2} +2(3.14)(5)(2)\\s = 6.28(25)+6.28(10)\\s = 157+62.8\\s=219.8 cm^{2}[/tex]

Answer:

x = 33.

x = 2.

Step-by-step explanation:

200(x-0.3)=600

200x - 60 = 600

200x - 60 + 60 = 600 + 60

200x = 660

x = 660/200

x = 3.3.

-10(x-1.7)=-3

-10x + 17 = -3

-10x + 17 - 17 = -3 - 17

-10x = -17 - 3 = -20

     x = 2.

Step-by-step explanation:

Town B = 47000 square miles

Town A = 57000 square miles

Answer:

-6.4 degrees.

Step-by-step explanation:

The average temperature

= (-12 -8 -3  + 6 - 15) / 5

= -32/5

= -6.4 degrees.

Answer:

D

Step-by-step explanation:

The median is 8, so it is less than 9.

Answer:

Option D is not true

Step-by-step explanation:

The mode is the highest occuring number.From the data.

The mode is 9 and is greater than 7.This mean option A is correct.

The range is the difference between the highest number and the lowest which is 15-4 =11.Hence option C is correct because the range is more than 10.

The median when the data is arranged in either ascending or descending order i.e (15,12,11,9,9,7,5,4).Hence,the middle numbers are 9 and 9.To get the median,we get the average of the numbers which will be 9+9=18 ÷2= 9. The median is 9 which means option D is not correct.

The mean will be the addition of the numbers divided by the number of items

[tex] \frac{9 + 15 + 5 + 7 + 9 + 12 + 11 + 4}{8} [/tex]

[tex] = \frac{72}{8} [/tex]

[tex] = 9[/tex]

The mean is equal to 9 which means Option B is correct.

This implies that the only option which is incorrect is option D

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

if we ever face a number written in the form of [tex]\underline{x^{n}}[/tex]where x denotes the base and n denotes the exponent or power , we can expand it in the following way -

[tex] x^{n} = x \times x \times x \times.... x ( upto\: " n " \: times )[/tex]

therefore ,

[tex]8 {}^{5} = 8 \times 8 \times 8 \times 8 \times 8[/tex]

option ( B )

hope helpful -,-

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[tex]\diamond\:\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\:\diamond[/tex]

           ✶ How would you write [tex]\bold{8^5}[/tex] as a multiplication expression [tex]\textit{?}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

    ✶ The exponent indicates how many times a certain number was multiplied by itself.

      ✶ In this case we have [tex]\bold{8^5}[/tex], so 8 was multiplied by itself five times.

So we conclude that [tex]\bold{8^5}[/tex] written as a multiplication expression looks as follows:-

[tex]\bigcirc\!\!\!\!\checkmark[/tex] 8•8•8•8•8

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The length of AD in triangle ABC in which ∠1 = ∠2 is 3.75.

The (interior) bisector of an angle, also called the internal angle bisector, is the line or line segment that divides the angle into two equal parts.

Here, Let the lenght of AD be x

         AB = 10 , AC = 6 and BC = 6

by Angle-Bisector theorem which states that

if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.

So, CD/BD =AC/AB

      CD/(BC-CD) = 6/10

       10. CD = 6.BC - 6.CD

        16 CD = 6 X 6

         16 CD = 36

          CD = 36/16

         CD  = 2.25

Now, AD = AC - CD

         AD = 6 - 2.25

         AD = 3.75

Thus, the length of AD in triangle ABC in which ∠1 = ∠2 is 3.75.

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B. This is the graph of a function, but it is not one-to-one

A function is a type of graph that has a specific relationship between the x and y values.

Vocabulary

First, let's define the words that were used in the answer choices.

Finding a Function

There are different ways to find if a relationship is a function, but with a graph, the easiest way is the vertical line test. The vertical line test is when you draw vertical lines over your graph. If you are able to draw a vertical line everywhere without that line crossing the graph more than once, then the graph is a function.

In this graph, there is no spot in which a vertical line would intersect with the graph more than once. Since it passed the vertical line test, this must mean that x-values never repeat. Thus, this is a function.

Finding a One-To-One Function

Now that we know this is a function, we need to find if this is a one-to-one function. Once again, this can be done multiple ways, but one way is the horizontal line test. This test is similar to the method above; however, horizontal lines are used. In this test, you draw horizontal lines are drawn on the graph. If you can draw a horizontal line at every value without the line intersecting more than once, then it is a one-to-one function.

On this graph, if you were to draw a horizontal line at any of the y-values between 0 and 6, then the line would intersect multiple times. This means that y-values do repeat. Thus, this is not a one-to-one function.

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[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         [refer to attachment for question]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Remember, the radius is exactly one-half of the diameter, so if we need to find the diameter, we multiply the radius times 2:-

r=6.5m

d=13m

r=9.1 ft

d=18.2 ft

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Answer:

No

Step-by-step explanation:

5(-3)= -15

5(1)= 5

-15+5=-10

-10 is greater than -19 not less than or equal too.

Hope this helps!

Answer:

650

Step-by-step explanation:

195

_. of 30

100

and these 30 zero cut and 100 zero also cut and 3 * 195= 65 and 65 x 10 =650