mong moi nguoi giup do

Answer:

(x+y) ³

= x³+3x²y+3xy²+y³

=x³+y³+3xy(x+y)

Brainliest please~

(x+y)3= x^3+3x^2y+3xy^2+y^3

Answer:

[tex]y=\frac{5}{2}x-14[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=\frac{5}{2}x-10[/tex]

In the given equation, [tex]\frac{5}{2}[/tex] is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of [tex]\frac{5}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{5}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{5}{2}x+b[/tex]

Plug in the given point (-6,-29) and solve for b

[tex]-29=\frac{5}{2}(-6)+b[/tex]

Simplify -6 and 2

[tex]-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b[/tex]

Add 15 to both sides to isolate b

[tex]-29+15=-15+b+15\\-14=b[/tex]

Therefore, the y-intercept is -14. Plug this back into [tex]y=\frac{5}{2}x+b[/tex]:

[tex]y=\frac{5}{2}x-14[/tex]

I hope this helps!

Answer:

10, 9, 12

Step-by-step explanation:

Answer:

d=√65 units

Step-by-step explanation:

Using the distance formula :

d=√((−5)−(2))2+((0)−(4))2 units

d=√(−7)2+(−4)2 units

d=√49+16 units

d=√65 units

If this helps you, please mark brainliest!

Have a nice day!

Answer:

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Find the prime factorization of the number 3,600. Factor Tree.

2|3,600.

2|1,800.

2|900.

2|450

5|225

5|45

3|9

3|3

|1

Setup the equation for determining the number of factors or divisors.

3600=2x2x2x2x3x3x5

Sum factors=2+2+2+2+2+3+3+5=24

Answer:

1800ml

Step-by-step explanation:

Given data

let the capacity of the Jug be x millimeters

from 80% to 60% = 20%

Since 20% of the capacity is equivalent to 360ml

the 100% will be x ml

cross multiply we have

360*100= 20*x

x= 36000/20

x= 1800ml

Hence the capacity of the jug is 1800ml

Step-by-step explanation:

hear is your answer please

Answer:

Location of W is - 23, location of X is - 9.

Step-by-step explanation:

location of V = - 16

Points W and X are each 7 units away from Point V.

Let the W is at left of V and X is right of V.

location of W = -16 - 7 = - 23

location of X = - 16 + 7 = - 9

Answer:

3

Step-by-step explanation:

Degree of the polynomial is the highest degree of the polynomial. Here highest degree is 3.

Answer:

The slope is equal to 5.

Step-by-step explanation:

Point 1 (0, 5)

Point 2 (3, 20)

m=y2-y1/x2-x1

m=5-20/0-3

m=-15/-3=

m=5

Answer:

$148.80

Step-by-step explanation:

Find how much was charged extra with the late fee. Multiply 13 by 3.85:

13(3.85)

= 50.05

Add this to the original amount of the bill:

98.75 + 50.05

= 148.8

So, the amount owed is $148.80

Answer:

[tex]5/8[/tex]

Step-by-step explanation:

Since all the people sit on the chairs at random, the probability of a certain chair being occupied by a boy is equal to the probability of randomly picking a boy from the class. Since there are 24 people total and 15 of them are boys, there is a [tex]\frac{15}{24}=\boxed{\frac{5}{8}}[/tex] chance that the thirteenth chair is occupied by a boy.

Answer:

16 + 2n

Step-by-step explanation:

n + n is twice of a number, but 2n is simplified. "16 increased by" just represent addition

Attached you'll find the region of interest, which is captured by the set of points

R = {(x, y) | √(y/2) ≤ x ≤ (4 - y)/2 and 0 ≤ y ≤ 2}

Written in this way, it's convenient to integrate with the order dx dy (that is, with respect to x first). In particular, we have

[tex]\displaystyle\iint_R(7xy-5-2y^2)\,\mathrm dx\,\mathrm dy = \int_0^2 \int_{\sqrt{\frac y2}}^{\frac{4-y}2} (7xy-5-2y^2)\,\mathrm dx\,\mathrm dy[/tex]

[tex]\displaystyle = \int_0^2 \int_{\sqrt{\frac y2}}^{\frac{4-y}2} \left(\frac72 x^2y-5x-2xy^2\right)\bigg|_{\sqrt{\frac y2}}^{\frac{4-y}2}\,\mathrm dy[/tex]

[tex]=\displaystyle\int_0^2\left(\frac{15}8y^3-11y^2+\frac{33}2y-10 +\sqrt2 y^{\frac52}-\frac74y^2+\frac5{\sqrt2}y^{\frac12}\right)\,\mathrm dy[/tex]

[tex]=\displaystyle\left(\frac{15}{32}y^4+\frac{2\sqrt2}7y^{\frac72}-\frac{17}4y^3+\frac{33}4y^2+\frac{5\sqrt2}3y^{\frac32}-10y\right)\bigg|_0^2[/tex]

[tex]=\boxed{-\dfrac{95}{42}}[/tex]

Answer:

17x+12=12

17x=12-12

17x=0

divide both sides by 17

x=0

rough check

17(0) = 12-12

0=0

I hope this helps

Answer:

-1/5

Step-by-step explanation:

g(x) = x/(x-3)

Substituting x = 1/2 in g(x),

g(1/2) = 1/2/(1/2-3)

= 1/2/(1/2-6/2)

= 1/2/(-5/2)

= 1/2 ÷ - 5/2

= 1/2 x -2/5

= - 1/5

Step-by-step explanation:

here is your answer

here is your answer

Answer:

y = 46

Step-by-step explanation:

Angle Formed by Two Tangents= 1/2(difference of Intercepted Arcs)

We can find the other arc by the total arc of a circle minus the arc length 226

y = 1/2 ( 226 - ( 360 -226))

y = 1/2 ( 226 -134)

y = 1/2 (92)

y = 46

Answer:

see photo

Step-by-step explanation:

Answer:

0 and 40

Step-by-step explanation:

First expression:  4*5 - (22 - 2).  We must do work inside parentheses before any other work.  This, we have 4*5 - (20), which simplifies to 20 - 20 = 0

Second expression:  (18 - 3) + (32 - 7 becomes (15) + 25, or 40.

Answer:

Divide 3,192 by 168.

Step-by-step explanation:

Given

[tex]y = 168x + 8[/tex]

[tex]y = 3200[/tex]

Required

Step to required to get x when [tex]y = 3200[/tex]

The first step is to substitute [tex]3200[/tex] for [tex]y[/tex]

[tex]3200 = 168 * x + 8[/tex]

Subtract both sides by 8

[tex]3192 = 168 * x[/tex]

Divide both sides 168 ---- [this answers the question]

[tex]19 = x[/tex]

[tex]x = 19[/tex]

Answer:

Divide 3,192 by 168.

Step-by-step explanation:

Divide 3,192 by 168.

Step-by-step explanation:

Given

Required

Step to required to get x when  

The first step is to substitute  for  

Subtract both sides by 8

Divide both sides 168 ---- [this answers the question]

Answer:

option A

Step-by-step explanation:

[tex]p(x) = -3x^3 - 4x \\\\p(x = - 1 ) = -3( - 1)^3 - 4( - 1 )[/tex]

               [tex]= -3(-1) + 4 \\\\= 3 + 4 \\\\= 7[/tex]

Answer:

Step-by-step explanation:

[tex] - {3x}^{3} - 4x[/tex]

[When x = -1 then]

[tex] = - {3( - 1)}^{3} - 4( - 1)[/tex]

= - 3 × (-1) - 4 × (-1)

= 3 + 4

= 7 (Ans)

Answer:

i dont get it

Step-by-step explanation:

Answer:

38.75 in.

Step-by-step explanation:

[tex]125\% \times 31~in. = 1.25 \times 31~in. = 38.75~in.[/tex]

Answer:

0.8X = Final cost

Step-by-step explanation:

Given that jeans are on sale for 20% off the regular price, to determine which function would give you the total cost for purchasing a pair of jeans that costs X dollars, the following calculation must be performed:

1X = Initial cost of the jeans

20% = 0.2

1 - 0.2 = 0.8

0.8X = Final cost

Answer:

Kindly check explanation

Step-by-step explanation:

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; r = rate ; n = number of compounding times per period ; t = period ; P = principal

P = 2500 ; r = 4% = 0.04 ; t = 5 years

Daily compounding, n = 365

Yearly compounding, n = 1

Quarterly compounding, n = 4

Daily compounding :

A = 2500(1 + 0.04/365)^(5*365)

A = 2500(1.0001095)^1825

A = $3053.4734

Yearly :

A = 2500(1 + 0.04/1)^(5*1)

A = 2500(1.04)^5

A = $3041.6323

Quarterly:

A = 2500(1 + 0.04/4)^(5*4)

A = 2500(1.01)^20

A = $3050.4751

9514 1404 393

Answer:

  f(x) = 0.15x +25

Step-by-step explanation:

We are given two points:

  (x, y) = (180, 52) or (350, 77.50)

The slope is given by ...

  m = (y2 -y1)/(x2 -x1)

  m = (77.50 -52)/(350 -180) = 25.50/170 = 0.15

The y-intercept is given by ...

  b = y -mx

  b = 52 -0.15×180 = 25

Then the equation for the linear function is ...

  f(x) = mx +b

  f(x) = 0.15x +25

Answer:

18/48 and 15/40

Step-by-step explanation:

18/48 = 3/8

15/40 = 3/8

•°• 18/48 is equivalent to 15/40