Can you factor x^4- 8x + 16

Answer:

Step-by-step explanation:

Let [tex]n[/tex] and [tex]A[/tex] the number of jugs and the area of flowers, measured in jugs and square feet. We assume that exists a direct relationship between both variables. That is:

[tex]A \propto n[/tex]

[tex]A = k\cdot n[/tex] (1)

Where [tex]k[/tex] is the proportionality constant, measured in square feet per jug.

If we know that [tex]n = 1\,jug[/tex] and [tex]A = 140\,ft^{2}[/tex], then the proportionality constant is:

[tex]k = \frac{A}{n}[/tex]

[tex]k = 140\,\frac{ft^{2}}{jug}[/tex]

Then, the relationship between both variables is represented by:

[tex]A = 140\cdot n[/tex]

If we know that [tex]A = 175\,ft^{2}[/tex], then the minimum number of jugs needed to treat the area is:

[tex]n = \frac{175\,ft^{2}}{140\,\frac{ft^{2}}{jug} }[/tex]

[tex]n = 1.25\,jugs[/tex]

Since jugs represents a discrete set, then we round this number up to the next integer. In other words, we find that 2 jugs are needed to treat an area of 175 square feet.

Lastly, we present a graph to estimate the minimum value of jugs:

Answer: it would be a positive

Answer:

the answer is positive because 78 is bigger than -5

Step-by-step explanation:

Answer:

Fixed expences are expences that don't change month-to-month, whereas variable expences are things that are needing to budgeted for every month, but may vary a bit and are therefor usually estimated on a budget.

Step-by-step explanation:

For example, rent would be a fixed expense because you know it will be X amount due on the same day every month.  Food, on the other hand, would be a variable expense because it likely won't be the same amount month-to-month.

Answer:

Fixed expenses are expenses that stay the same for a person or a business. An example of a fixed expense is rent/mortgage. This expense doesn't change if you are only using the building for 2 weeks or the entire month, it's a set rate. A variable expense is an expense that changes like an electric bill, it varies based on the month and usage. When you budget, you can easily budget for your fixed expenses but you need to allow some room in your budget for expenses that change.

Answer:

See Below.

Step-by-step explanation:

Let:

[tex]0.\overline{5}=n[/tex]

If we multiply both sides by 10, we get:

[tex]5.\overline{5}=10n[/tex]

Now, we will subtract n from both sides:

[tex]5.\overline{5}-n=10n-n[/tex]

On the left, we can replace the n:

[tex]5.\overline{5}-.\overline{5}=10n-n[/tex]

Subtract:

[tex]5=9n[/tex]

Divide both sides by 9:

[tex]n=\frac{5}{9}[/tex]

Hence:

[tex]n=0.\overline{5}=\frac{5}{9}[/tex]

Answer:

x=-14/11 or -1.27 or -1 3/11

Step-by-step explanation:

Answer:

-14/11

Step-by-step explanation:

Simplify both sides of the equation

(Distribute)

(Combine Like Terms)

Subtract 22x from both sides.

Add 30 to both sides.

Divide both sides by -11

= -14/11

Answer:True

Step-by-step explanation:

Answer:

23 degrees

Step-by-step explanation:

angles subtended by a chord of the circle, on the same side of the chord ate equal

or

line segment joining 2 points subtends two equal angles

Answer:

See below

Step-by-step explanation:

1.

2.

4.

5.

Answer:

7.04% decrease

Step-by-step explanation:

Lets use 5 example

5*0.17=0.85

5-0.85=4.15

4.15*0.12=0.498

4.15+0.498=4.648

7.04% of 5 is 4.648

Answer:

$52

Step-by-step explanation:

Dicount: 20%

Discounted price: 80%

80% x $65 = $52

Topic: Percentage

If you would like to find out more, you can check out my insta (learntionary) I do post tips / notes. Notes for this topic have been posted already. you can take a look if you want to thanks

Answer:

the error is the last step. and the solution is 9

Step-by-step explanation:

8-5c=-37

-8         -8

-5c/-5 = -45/-5

c= 9                               i hope that helps you bobby:)

Answer:

The unit rate for miles per gallon is 33.75. 33.75 as a fraction 135/75

Step-by-step explanation:

35.5 divided by 1.75 is 33.75

33.75 as a fraction is 135.75 which is an improper fraction

So you have to divide the numerator by the denominator

135 divided by 75 is 1.8 as a decimal

Answer:

28.4

Step-by-step explanation:

35 1/2 miles over 1 1/4 gallons of gasoline. 1 1/4 converted into an improper fraction is 5/4, so you multiply the numerator and denominator by 5/4. You need to multiply by 5/4 because you need to get to miles per gallon, which equals to 1. (A fraction multiplied by its reciprocal will always equal 1) once you've multiplied the numerator and denominator by the reciprocal, your answer will be 28.4 - hope this helped!

Answer: 69,960

Step-by-step explanation: all you have to do is divide 132,000 by 53%.

Answer:

it would be 2 pieces and 1/3

Answer:

OM is congruent to PO, if M is the midpoint of PM

Step-by-step explanation:

a  Converse means If q , then p .

In this case ''M is the midpoint of then PM'' that would be P

Q would be '' OM is congruent to PO'' .

   Reverse the statements.

Answer:

11x - 8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define expression

3(x - 2) + 2(4x - 1)

Step 2: Simplify

Answer:

In the Northern Hemisphere right now it is Fall.

Answer (there are two solutions):

I hope this helps!

Answer:

x=-2   x=-3

Step-by-step explanation:

x²+5x+6=0

Factor

What 2 numbers multiply to 6 and add to 5

2*3 =6

2+3 =6

(x+2)(x+3) =0

Using the zero product property

x+2 =0  x+3 =0

x=-2   x=-3

Answer:

5

Step-by-step explanation:

I used google

Answer:

19.7ft

Step-by-step explanation:

o^2+a^2=h^2

\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}

h^2=100ft^2+289ft^2

h=389ft^2−−−−−√

→19.7ft

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

where a and b are the legs of the triangle and c is the hypotenuse

so 8^2 + 12^2 = c^2

64 + 144 = c^2

208 = c^2

take the square root of both sides

c = 14.422

Answer:

Students altogether liked cola the best 26

Step-by-step explanation:

Total no of pupils = 60

Boys = 32

girls = 28

we will make a table

Gender         cola             milk               water       total

Boys             12                                         4              32

Girls                                                          9                28

we can find the missing numbers

Let x be for milk

In boys  12 + x + 4 = 32

                 x  = 16

In girls

          as 21 liked milk altogether

so girls = 21 - 16 = 5

Gender         cola             milk               water       total

Boys             12                 16                      4              32

Girls                                   5                      9                28

For cola let y

in girls

y + 5 + 9 = 28

y = 14

Gender         cola             milk               water       total

Boys             12                 16                      4              32

Girls              14                   5                      9            28

Altogether cola = 14 + 12 = 26

Answer:

26

Step-by-step explanation:

answer is 26

trust

Answer:

59.4

Step-by-step explanation:

Answer:

He walked 59.4 miles in 11 days

Step-by-step explanation:

You take the number of miles he walked in one day,  (5.4), then multiply it by the number of days he walked (11), so the answer is 59.4

Answer:

Step-by-step explanation:

Correct one is C

Answer:

1.11w

Step-by-step explanation:

Let initial wage = w

Percentage increase in wage = 11%

Using the relation :

New Amount = initial * (1 + % increase)

New Amount = w * (1 + 0.11)

New amount = w * (1.11)

New amount = 1.11w

Answer:

5

Step-by-step explanation:

20×1/4=20/4=5

1/4×20/4=20/4=5