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Andrew [12]
3 years ago
8

1. x+3y=6 y = 8x + 9

Mathematics
1 answer:
Allushta [10]3 years ago
7 0

Answer:

x=-(21)/(25),y=(57)/(25)

Step-by-step explanation:

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What is the fourth term of the binomial expansion for (3x-2y)6
Thepotemich [5.8K]
One way is to just expand it by using binomial theorem
or to use pascal's triangle

ok so

to find the nth term of a binomial, (a-b). where the binomial is to the r power you do
n-1=k

rCk times (a)^{r-k}(-b)^k
and rCk=\frac{r!}{k!(r-k)!}

so

4th term
4-1=3
6 is exponent

6C3(3x)^{6-3}(-2y)^3=
( \frac{6!}{3!(6-3)!} )((3x)^3(-8y^3)=
( \frac{6*5*4}{1*2*3} )(27x^3)(-8y^3)=
(20)(27)(-8)(x^3)(y^3)=-4320x^3y^3



the 4th term is -4320x^3y^3

7 0
3 years ago
Solve the following equation for g: 2(g - h) = b + 4
DaniilM [7]

Answer:

g = \frac{b+4+2h}{2}

Step-by-step explanation:

Given

2(g - h) = b + 4 ← distribute parenthesis on left side

2g - 2h = b + 4 ( add 2h to both sides )

2g = b + 4 + 2h ( divide both sides by 2 )

g = \frac{b+4+2h}{2}

6 0
3 years ago
Mark is taking pledges for bike-a-thon fundraiser. John pledged $2.00, plus $1.75 for each mile Mark bikes. Kiara pledged $5.25,
Shkiper50 [21]

Answer:

The equation for the amount of dollars pledged in total is f(M) = 2.00M + 7.25, and the amount for just Kiara is f(M) = 0.25M + 5.25

Step-by-step explanation:

The amount they pledge up front is a constant and therefore need to be added to the end of the equation. The amount per mile should be a variable amount. This gets multiplied by the M variable. So we start with the Kiara amount.

0.25 per mile = 0.25M

5.25 pledged = 5.25

Now put them together to get f(M) = 0.25M + 5.25

Do the same with Mark.

1.75 per mile = 1.75M

2.00 pledged = 2.00

Now put them together to get f(M) = 1.75M + 2.00

To get the final total, we add both equations together.

f(M) =  0.25M + 5.25 + 1.75M + 2.00

f(M) = 2.00M + 7.25

4 0
3 years ago
Which is an example of a high-risk investment?
rewona [7]

stock in a start-up company


4 0
3 years ago
Read 2 more answers
Work out the lengh of RS <br> gue your answer to 3 significant figures
atroni [7]

Answer:

RS ≈ 5.83 units

Step-by-step explanation:

Calculate RS using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = R(- 3, 1) and (x₂, y₂ ) = S(2, 4)

RS = \sqrt{(2+3)^2+(4-1)^2}

     = \sqrt{5^2+3^2}

     = \sqrt{25+9}

     = \sqrt{34} ≈ 5.83 ( to 3 significant figures )

8 0
3 years ago
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