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3 years ago

Write the standard form of line that passes through (1,5) and (-2,3)

Mathematics

1 answer:

STatiana [176]3 years ago

7 0

Answer:

2/3x - y = -13/3

Step-by-step explanation:

Step 1: Find slope m

m = (3 - 5)/(-2 - 1)

m = -2/-3

m = 2/3

y = 2/3x + b

Step 2: Find b

5 = 2/3(1) + b

5 = 2/3 + b

b = 13/3

Step 3: Write equation in slope-intercept form

y = 2/3x + 13/3

Step 4: Move 2/3x over

-2/3x + y = 13/3

Step 5: Factor out -1

-1(2/3x - y) = 13/3

Step 6: Divide both sides by -1

2/3x - y = -13/3

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What is the fourth term in the binomial expansion of (2x – y) 7?

nata0808 [166]

Answer:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

And then the final term would be:

$-560 x^4 y^3$

Step-by-step explanation:

For this case we have the following expression:

$(2x-y)^7$

And we can use the binomial theorem given by:

$(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}$

And for this case we want to find the fourth term and using the formula we have:

$(7C4) (2x)^4 (-y)^{7-4}$

And replacing we got:

$35 (2^4) x^4 (-y)^{-3}$

And then the final term would be:

$-560 x^4 y^3$

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3 years ago

How can data or a graph be misleading?

Shtirlitz [24]

The correct answer should be
B) having outliers
Hope this helps!

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3 years ago

Zoey invested $230 in an account paying an interest rate of 6.3% compounded daily.

alukav5142 [94]

Answer:

A ≈ $500

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate: A = P(1 + r/n)ⁿˣ

A is final amount
P is initial (principle) amount
r is rate
n is number of compounds
x is number of years

Step-by-step explanation:

Step 1: Define

P = 230

r = 0.063

n = 365

x = 12

Step 2: Solve for A

Substitute: A = 230(1 + 0.063/365)³⁶⁵⁽¹²⁾
Divide: A = 230(1 + 0.000173)³⁶⁵⁽¹²⁾
Multiply: A = 230(1 + 0.000173)⁴³⁸⁰
Add: A = 230(1.00017)⁴³⁸⁰
Exponents: A = 230(2.1296)
Multiply: A = 489.808

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3 years ago

Read 2 more answers

o decorate his bedroom, Mike spent $41.64 on new bedding, $36.84 on paint, and $72.49 on accessories. About how much did he spen

FromTheMoon [43]

He spent 150.97 hope this helps :) have a good day

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3 years ago

Read 2 more answers

qwelly [4]

28% of 1500 is 420.

so add it to 1500 and you’ll get 1920

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3 years ago