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2 years ago

I NEED HELP FAST what is y+1=5/6(x-2) in standard form?

Mathematics

1 answer:

Irina18 [472]2 years ago

6 0

Answer:

$\large\boxed{5x-6y=16}$

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

We have the equation in the point-slope form. Convert:

$y+1=\dfrac{5}{6}(x-2)\qquad\text{multiply both sides by 6}\\\\6y+6=6\!\!\!\!\diagup^1\cdot\dfrac{5}{6\!\!\!\!\diagup_1}(x-2)\\\\6y+6=5(x-2)\qquad\text{use the distributive property}\\\\6y+6=(5)(x)+(5)(-2)\\\\6y+6=5x-10\qquad\text{subtract 6 from both sides}\\\\6y+6-6=5x-10-6\\\\6y=5x-16\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+6y=5x-5x-16\\\\-5x+6y=-16\qquad\text{change the signs}\\\\\boxed{5x-6y=16}$

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Answer:

37.5% decrease

Step-by-step explanation:

To find a relative percentage you generally follow the rule of part divided by whole.

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2 years ago

How long would it take you to double your money is the bank pays 3.6% interest, compounded

Lapatulllka [165]

Answer:

$t=19.25\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\P=x\\r=3.6\%=3.6/100=0.036\\A=2x$

substitute in the formula above

$2x=x(e)^{0.036t}$

solve for t

simplify

$2=(e)^{0.036t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.036t}]$

Applying property of exponents

$ln(2)=[0.036t]ln(e)$

Remember that ln(e) =1

$ln(2)=[0.036t]$

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3 years ago

Which relation is a function?

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{(2, 3), (1, 5), (2, 7)} - NOT because 2->3 and 2->7
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3 years ago

A philanthropist pledges to donate 10% of a fund each year. If the fund initially has $450,000 how much will

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After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. $\rm y = a^x$

where a is a constant and a>1

We have:

A philanthropist pledges to donate 10% of a fund each year.

We can find the amount left after 7 years as follows:

A = 450000(1 - 0.1)⁷

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Rate r = 10% = 0.1

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Learn more about the exponential function here:

brainly.com/question/11487261

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1 year ago