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3 years ago

Which equation represents a line that passes through (2, -1/2) and has a slope of 3?

Mathematics

1 answer:

uranmaximum [27]3 years ago

8 0

Answer: y= 3x - $6\frac{1}{2}$

Step-by-step explanation:

Since we know the slope and a set of coordinates we can insert them into the formula y=mx+b and find what b is.

y=mx+b

-1/2=3(2)+b

-1/2=6+b

-1/2-6=6-6+b

-6 1/2=b

Therefore the equation is y=3x - $6\frac{1}{2}$

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Which math operation determines the following pattern?

Zinaida [17]

Answer:

it times 4

Step-by-step explanation:

so each time you would multipley by 4

4 0

3 years ago

Two trains, train a and train , weigh a total of 466 tons. Train A is heavier than train b. The difference of there weights is 3

AlexFokin [52]

Answer: A = 396 tons

B = 70 tons

Step-by-step explanation:

From the question,

Weight of A + Weight of B = 466

Weight of A - Weight of B = 326

A + B = 466 ......... i

A - B = 326 ..........ii

Subtract equation ii from I

2B = 140

B = 140/2

B = 70 tons

A = 466 - 70

A = 396 tons

5 0

3 years ago

Solve the proportion x/12 = 5/15

uranmaximum [27]

Answer:

x=4

Step-by-step explanation:

Step 1: Cross-multiply

Step 2: Divide both sides by 15

Hope it helps:)

6 0

3 years ago

Read 2 more answers

The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain after 2000 years?

Assoli18 [71]

Answer:

167.27 mg.

Step-by-step explanation:

We have been given that the half-life of Radium-226 is 1590 years and a sample contains 400 mg.

We will use half life formula to solve our given problem.

$N(t)=N_0*(\frac{1}{2})^{\frac{t}{t/2}$ , where N(t)= Final amount after t years, $N_0$ = Original amount, t/2= half life in years.

Now let us substitute our given values in half-life formula.

$N(2000)=400*(\frac{1}{2})^{\frac{2000}{1590}$

$N(2000)=400*(0.5)^{1.2578616352201258}$

$N(2000)=400*0.4181633028874878239$

$N(2000)=167.26532115499512956\approx 167.27$

Therefore, the remaining amount of Radium-226 after 2000 years will be 167.27 mg.

3 0

3 years ago

Will give brainlest

Ymorist [56]

Answer:

I guess, that's an Associative Property .

3 0

3 years ago