Isip at kilos loob ng<br> paaralan

Expand (2 + a)9 using Pascal’s triangle.

Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

1 $(A + B) ^ 0$ = 1

1 1 $(A +B ) ^ 1 = 1A + 1B$

1 2 1 $(A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2$

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1 9 36 84 126 126 84 36 9 1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

$1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B$

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

$1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9$

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

$A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9$

Hope you can learn the method

5 0

2 years ago

Peter has twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 Stickers altogether. How many sticke

GarryVolchara [31]

Answer:

170

Step-by-step explanation:

Equations derived from given info.

P=2J
J=E+40
P+J+E=300

Use some substitution now.

P=2(E+40)
J=E+40
P+J+E=300

Substitute first and second equation into third.

2(E+40)+E+40+E=300
2E+80+E+40+E=300
4E+120=300
4E=180
E=45

Emily has 45 stickers. But we want to know what Peter has.

Use P=2(E+40)

P=2(45+40)
P=90+80
P=170

Peter has 170 stickers.

4 0

3 years ago

Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).

Soloha48 [4]

Answer:

C.) Y= 5/8x + 1 1/2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}$

Substitute m = 5/8 and the point (4,4) into the point slope form.

$y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}$

3 0

3 years ago

(can u guys help me PLSSSSS ) A company sets sales goals for employees each month.

Pavlova-9 [17]

A. Kristina will sell 294 items in 28 days if she stays on her current pace.
B. She is not on track to meet the goal. By doing the math she would only sell around 294 items by day 28 when she needs to sell around 400 to reach her goal. if she keeps this pace she won’t reach that goal unless she is able to bump up her weekly count by 2-5 items then she can either hit the goal or go over.

8 0

2 years ago

Anybody know the answer???

igomit [66]

The sum of the two sides of the triangle must be greater than the third side, so

5<x<41 is the answer

8 0

2 years ago

Isip at kilos loob ng paaralan​

Isip at kilos loob ng paaralan