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3 years ago

What is the relationship? SYSTEM OF EQUATIONS

Mathematics

2 answers:

AveGali [126]3 years ago

7 0

The relationship is that 2x+3y=6 is 2* larger than 4x+6y=12

Marrrta [24]3 years ago

7 0

Hf jncffvv the same time I was there was there was a party invite you over the phone I was just wondering if there I

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Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit. (x - 3)^5

Rudiy27

I used bionomial expansion up to and including the term $x^{3}$

$(-3 + x)^{5}$

$-3^{5} (1 + -\frac{1}{3}x) ^{5}$

$-243 (1 + -\frac{1}{3}x) ^{5}$

n = 5
x = $- \frac{1}{3}x$

Binomial expansion:

$1 + nx + \frac{n(n-1) x^{2} }{2!} + \frac{n(n-1)(n-2) x^{3} }{3!}$

Therefore:

$1 + (5*- \frac{1}{3}x) + \frac{5(4) (- \frac{1}{3}x)^{2} }{2} + \frac{5(4)(3) (- \frac{1}{3}x)^{3} }{6}$

=

$1 - \frac{5}{3} x + \frac{10}{9} x^{2} - \frac{10}{27} x^{3} 

$

Multiply by -243

=

$-243 + 405x - 270x^{2} + 90 x^{3} 
$

3 0

3 years ago

Read 2 more answers

Which expressions are equivalent<br> to 1/81 ? check all that apply.<br> picture provided

Taya2010 [7]

${8}^{ - 1} = \frac{1}{8}$

8-¹ ❌

${9}^{ - 2} = \frac{1}{ {9}^{2} } = \frac{1}{81}$

9-² ✔️

$\frac{ {9}^{8} }{ {9}^{4} } = {9}^{8 - 4} = {9}^{8}$

9^8/9^4 ❌

$\frac{9 {}^{8} }{ {9}^{10} } = {9}^{8 - 10} = {9}^{ - 2} = \frac{1}{9 {}^{2} } = \frac{1}{81}$

9^8/9^10 ✔️

${9}^{ - 6} \times {9}^{3} = {9}^{ - 6 + 3} = {9}^{ - 3} = \frac{1}{9 {}^{3} } = \frac{1}{729}$

9^-6 . 9³ ❌

${9}^{5} . \: { 9}^{ - 7} = {9}^{5 - 7} = 9 {}^{ - 2} = \frac{1}{ {9}^{2} } = \frac{1}{81}$

9^5 . 9^-7 ✔️

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3 years ago

Anthony travels from Page Az to Flagstaff Az at a rate of 60 miles per hour in 2.5 hours. How far is Flagstaff from Page?( Show

DerKrebs [107]

Answer:

150 miles

Step-by-step explanation: The distance from Page to Flagstaff can be shown with the equation d = r * t, or distance = rate * time. In this case, the rate is 60 mph, and the rate is 2.5 h. Plugging that into the equation you get d = 2.5(60) = 150, giving you your distance.

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3 years ago

Andrew and his cousin Emily are picking apples in their grandparents' orchard. Andrew

Liula [17]

Answer:

they will have 32 baskets of fruit

1 hour

Step-by-step explanation:

andrews equation is y = x + 15

emilys equation is y = 3x + 13

when x = 1, andrew has 1+15 = 16, and emily has 3+13 = 16

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3 years ago

Find the simple interest Mark owes on a four-year student loan of $36,000 with an annual interest rate of 6%.

Nimfa-mama [501]

I = PRT
I = (36,000)(.06)(4)
I = 8640

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3 years ago