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2 years ago

Convert y-6= -3(x+1) to standard from

Mathematics

2 answers:

Licemer1 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

y=-3(x+1)+6

y=-3x-3+6

y=-3x+3

3x+y=3

Amiraneli [1.4K]2 years ago

7 0

Answer:

3x + y = 3

Step-by-step explanation:

the standard form for this kind of equation would be ax + by = c

we must first distribute the -3

y - 6 = -3x - 3

now add 3x to both sides

3x + y - 6 = -3

lastly add 6 to both sides

3x + y = 3

that is your answer

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Minchanka [31]

Answer:

For Me Imposible Question!!

Step-by-step explanation:

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3 years ago

A line passes through the point(-4,-6) and has a slope of 1/2 What is the equation of the line?

alex41 [277]

Answer:

x-2y-8=0

Step-by-step explanation:

The equation of line is given by the relation

y-y1=m(x-x1)

where m is the slope

now, given x1=-4 and y1=-6 and the slope is 1/2.

substitute into the equation to get

y+6=1/2(x+4)

multiplying through with the L.C.M

which is 2

2(y+6)=1/2×2(x+4)

2y+12=x+4

making x the subject

x= 2y+8 hence the equation of the line is x-2y-8 =0

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3 years ago

Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,

Kazeer [188]

Answer: 2.66 × 10⁻¹³

Step-by-step explanation:

First, use the decay formula $A=A_oe^{kt}$ where

A is the final amount (amount left)
A₀ is the initial amount (amount you started with)
k is the rate of decay (you need to solve for this)
t is the time

Given:

A = 1/2(300) = 150
A₀ = 300
k = unknown
t = 28.8

$150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\$

Next, input the k-value and the new t-value to solve for A.

A = unknown
A₀ = 300
k = -0.0240676
t = 1440

$A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\$

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4 years ago

A shirt is on sale for 30% off the regular price. The regular price is $27.00.

Dmitrij [34]

30% off. Would be 18.90

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3 years ago

Question 2 (1 point) Cynthia uses the chart below to find the cost of shipping a package. Write an expression that Cynthia can u

WINSTONCH [101]

Answer:

6.50w

Step-by-step explanation:

Given that :

Weight ________ Cost ($)

1 ______________6.50

2 _____________ 13.00

3 _____________ 19.50

Cost of package that weighs w pounds

If one pound = 6.50

2 pounds = 13.0

Then, the cost per pound = $6.50

Hence, cost of package that weighs w pounds will be ;

$6.50 * w = $6.50w

6 0

4 years ago