How would x^3+8 be expressed in factored form

Answer:

A large box weighs 18.5 kilograms and a small box weighs 15.5 kilograms

Step-by-step explanation:

Create a system of equations where l is the weight of one large box and s is the weight of one small box.

2l + 12s = 223

5l + 3s = 139

Solve by elimination by multiplying the bottom equation by -4:

2l + 12s = 223

-20l - 12s = -556

Add these together and solve for l:

-18l = -333

l = 18.5

So, a large box weighs 18.5 kilograms. Plug in 18.5 as l into one of the equations, and solve for s:

5l + 3s = 139

5(18.5) + 3s = 139

92.5 + 3s = 139

3s = 46.5

s = 15.5

A large box weighs 18.5 kilograms and a small box weighs 15.5 kilograms.

9514 1404 393

Answer:

Step-by-step explanation:

Two equations for the total weight can be written in general form as ...

  2L +12S -223 = 0

  5L +3S -139 = 0

These can be solved using the "cross multiplication method" by computing three differences:

  d1 = (2)(3) -(5)(12) = 6 -60 = -54

  d2 = (12)(-139) -(3)(-223) = -1668 +669 = -999

  d3 = (-223)(5) -(-139)(2) = -1115 +278 = -837

Then the weighs of the boxes are ...

  1/d1 = L/d2 = S/d3

  L = d2/d1 = -999/-54 = 18.5

  S = d3/d1 = -837/-54 = 15.5

The large box weighs 18.5 kg; the small box weighs 15.5 kg.

_____

Additional comment

If the coefficients are written in two rows of four numbers, with the first repeated at the end, the pattern of differences can be seen to be (ad -cb) for [a, b] in the first row and [c, d] in the second row of a pair of adjacent columns. This method of solution is fully equivalent to solution using Cramer's Rule for a system of equations represented by a matrix equation.

Answer:

x=3 and y=2

Step-by-step explanation:

Comparing the oder pair, we have 3x=9 and 10=5y. x=3 and y=2

Answer:

h(-6) = 3(-6)² - 6(-6) + 4

= 3(36) + 36 + 4

= 148

You basically just substitute x with -6 that's all

Answer:

Step-by-step explanation:

The correct answer is q

Because we have been given the equation p + q already so if we observe the equation carefully we see that if we add the variable q to the variable p we get the answer p + q

Answer:

C

Step-by-step explanation:

3*3^2+8/2-(4+3)=27+4-7=24

Answer:

24

Step-by-step explanation:

Remember the order of operations: PEMDAS

P=Parenthesis  

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

(Now you break it down)

3x3(2)+8/2-(4+3)

3x3(2)+8/2-7

3x9+8/2-7

27+8/2-7

27+4-7

31-7

Then you get your answer! (24)

Answer:

1. 21

2. -22

3. -19

4. -17

5. -5

6. 11

7. 7

8. -9

9. -6

10. -20

11. -1

12. 20

13. -21

Step-by-step explanation:

Answer:

[tex]thank \: you[/tex]

Answer:

The answer is 72.

I am right .

Answer:

10 wide 30 long

Step-by-step explanation:

1. Start guess and check.

2. When you get to 10 follow this:

10x3=30. 30+30+10+10=80

80=80

The triangles are similar due to SAS congruence postulate rule.

Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides. The triangles that like one another but may not be exactly the same size are said to be similar triangles. When two objects have the same shape but different sizes, they can be said to be similar. This indicates that identical shapes superimpose one another when enlarged. The term "Similarity" refers to this characteristic of like shapes.

Given triangles are similar due to SAS congruence postulate rule.

SAS or Side-Angle-Side Similarity Criterion,

According to the SAS similarity theorem, If any two of the first triangle's sides are exactly proportional to those of the second triangle, and if the angle created by these two sides of each individual triangle is equal, then the two triangles must be similar triangles.

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Answer:

cccccccccccccccçccccccccc

Answer:

if the dot is filled (black) it is ≤ or ≥

if it is not filled it is  < or >

you graph goes from 6 to 10

the unfilled one is 6 the filled one is 10

thus 6 < x ≤ 10

which says x is greater than 6 and also less than or equal to 10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Secant-secant with vertex outside the circle

1/2(larger-smaller arc)

1/2(114-36)

1/2(78)

39

Answer:

5 big sleds and 1 small sled

Answer:

Its N2500

Step-by-step explanation:

5% of 50000 is 2500, so thats how much commision he got

The dealer earned a commission of N2,500.00 on the sale of recharge cards worth N50,000.00.

To calculate the commission earned by the dealer, we need to determine 5% of the total value of the recharge cards sold.

Given that the dealer sold N50,000.00 worth of cards, we'll calculate the commission using the following formula:

Commission = (Percentage/100) * Total Value

In this case, the percentage is 5% and the total value is N50,000.00.

Using the formula, we have:

Commission = (5/100) * N50,000.00

Simplifying the equation:

Commission = 0.05 * N50,000.00

Commission = N2,500.00

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The skirt = s

The sweater is twice as much so 2s

The total sum has to equal or be less than $75

Inequality = s + 2s <=75

Simplify to 3s <= 75

Most the skirt can cost: solve for s:

3s <= 75

Divide both sides by 3

S <= 25

The most the skirt can cost is $25

Answer:

Inequality: s ≤ 25

Max skirt cost: $25

Step-by-step explanation:

s = skirt cost

x =  sweater cost

Since the sweater costs twice as much as the skirt, an equation will look like this:  

x = 2s

Since her budget is $75, that means she can spend $75 or less but not more, so another equation will look like this:

x + s ≤ 75

Plug 2s into the bottom equation

2s + s ≤ 75

Add up the terms

3s ≤ 75

Divide both sides by 3, the coefficient, to isolate s, the variable.

3s/3 ≤ 75/3

s ≤ 25

That means she can spend $25 or less on a skirt.

Answer:

angle HGD

Step-by-step explanation:

alternate angles are in Z position

Answer:

Usual topology

Step-by-step explanation:

hope this help you

Answer:

The answer is s = d/t

Step-by-step explanation:

For question 12, I think this is called a literal equation, I might be wrong but I believe so it is a literal equation. They are asking you to get s on one side. And they are asking you what s is in terms of d and t. So what you do is, d = s x t. You multiply the t with the s and get d = st. Then you will divide t from both sides so, d/t = s/t, this will eliminate t from the s, and add it on to the d (distance). Which will leave you s on one side and d and t on the other. The answer is s = d/t.

Section 3

12) a) Here, as we need that s or speed is the subject so speed should be in place of distance. So, we get

s = d/t

Here, s is speed, d is distance and t is the time

12) b) We know that :

Average Speed = Total Distance/Total Time

Here, total distance is given 748 km

total time 11.5 hrs

Avg. Speed = 748/11.5

Avg. Speed = 65.04 km/h

Hence, the answer is 65.04 km/h

13) a) We know that volume of a rabbit hutch is

Volume of rabbit hutch = ½ × b × h × l

Here,

b is the breadth, h is the height and l is the length

Volume= ½ × 50 cm × 50 cm × 2.5 m

Now, here Length is in metre so we need to convert to cm

1 m = 100 cm

2.5 m = 2.5 × 100 = 250 cm

So, now

Volume= ½ × 50 cm × 50 cm × 250 cm

Volume = 50 cm × 50 cm × 125 cm

Volume = 312,500 cm³

Hence, the volume of this hutch is 312,500 cm³

13) b) Let us assume that the orange be a sphere

So, volume of orange = 4/3πr³

Here, r is the radius and π is pi

radius is 4 cm

Volume = 4/3π(4)³

Volume = 4/3 × 64π

Volume = 85.33π cm³

Volume of the orange is 85.33π cm³

Answer:

u= 2 ; v = 1

Sen 60 = [tex]\frac{\sqrt{3}}{u}[/tex]  so u=2

Using the pythagoras theorem [tex]u^{2} =v^{2} +\sqrt{3}^{2}[/tex] so v =[tex]\sqrt{2^{2} - 3}[/tex] =1

Answer:

1520.5 in^2

Step-by-step explanation:

Surface area=2*pi*r^2+2*pi*r*h=2*pi*r*(r+h)=2*pi*11*22=1520.5 in^2

Answer:

145

Step-by-step explanation:

Angles in a straight line = 180

So,

Let unkown angle be x,

x+35=180

x=180-35

x=145

Answer:

12

Step-by-step explanation:

To find the mean, add up all the numbers

18+ 19+ 19+ 4+14+ 8+ 22+ 3+ 1

108

Then divide by the number of terms

108/9 =

12

Se necesitan 10 micros si queremos que cada 3 micros transporten 90 pasajeros.

En principio, sabemos que 300 pasajeros pueden transportarse en 4 microbuses.

Entonces, el numero de pasajeros que va por cada micro será el cociente entre el numero de pasajeros y el numero de micros:

N = 300/4 = 75

Queremos responder:

¿Cuántos micros se deben aumentar para  que por cada 3 micros se transporten 90 pasajeros?

Definamos X como el numero de grupos de 3 micros que tendriamos en esta situación.

Entonces 300 sobre X, debe ser igual a 90 (el numero de pasajeros que va en cada grupo de 3 micros)

300/X = 90

300 = 90*X

300/90 = X = 3.33...

Notar que el número total de micros sera 3 veces X:

3*X = 3*3.33.... = 10

Se necesitan 10 micros.

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Step-by-step explanation:

[tex](2 - 1 \frac{3 {3}^{2} }{?} [/tex]

Answer:

[tex]y=2[/tex]

Step-by-step explanation:

To solve this question, we can use the point-slope formula as we are given points on the line. This is the format:

[tex]y-y_{1} =m(x-x_{1} )[/tex]

The first step is to find the slope by substituting in two of the points. Let's try using (7,2) and (3,2):

[tex]2-2=m(7-3)\\0=4m\\m=0[/tex]

So now we have found that our slope is 0 meaning it is a flat line (shown by the unchanging y values through all three points).

The form for line equations is:

[tex]y=mx+c[/tex]

However, since our m=0, it is simplified to this:

[tex]y=c[/tex]

The y-value for all the points is 2, meaning c=2 (as it is also the y-intercept)

Therefore our final equation is:

[tex]y=2[/tex]

Hope this helped!

The arc formed by the central angle ∠RQT is RT. The correct option is option B.

Given: The central angle ∠RQT

To find: The arc formed by the given central angle

A central angle of a circle is an angle formed by any two radii of the circle.  These radii each intersect the circle on a point, and the portion of that circle between the two points is called an arc.

As can be seen from the given figure, Q is the center of the circle and RQ and QT are radii of the circle. Clearly, the central angle ∠RQT is formed by the radii RQ and QT.

The points where these radii intersect the circle are R and T respectively. Then, the portion of the circle between R and T is the required arc.

However, this portion can be taken in two ways; the bigger portion between them (found by moving anti-clockwise from R towards T) and the smaller portion between them (found by moving clockwise from R towards T). These are called the major arc and the minor arc between R and T respectively.

Since it is not explicitly mentioned which arc is required, we will tacitly assume that the minor arc is required.

The minor arc between R and T is named by their end points, that is, as RT.

While not required, it should be noted that the major arc between R and T should be named by their end points and a point between them on the arc (for example RVT or RUT)

Thus, the arc formed by the central angle ∠RQT is RT.

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Answer:

the reasoning states that "all the numbers begin with a 7 or an 8"

however this is not accurate as they can be in different placements

which can make a big difference in the total estimate.

for example:

the number could've been an 8, or an 80

they both begin with an 8

however have totally different values and could have messed up the total estimated number.

hope this helps :D

Answer:

point E

Step-by-step explanation:

it lies after 1 and before two and 1.6 bar is after 1 and before 2