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3 years ago

What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?

1 answer:

6 0

Here, Equation: 2x + 3y = 6
3y = -2x + 6

Divide both sides by 3,
y = -2/3x + 2

Here, Slope = -2/3 and it would be same for that line which is parallel to it.
So, y - 3 = -2/3 (x + 2)
y - 3 = -2x/3 - 4/3
y = -2x/3 + 5/3

In short, Your Answer would be Option B

Hope this helps!

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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

77julia77 [94]

Answer:

C. It has been stretched horizontally.

Step-by-step explanation:

According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.

The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.

Since the parabola appears to be flatter than the parent function, we can say that C. It has been stretched horizontally.

Hope this helps!

3 0

4 years ago

Read 2 more answers

A row team paddles 30 miles upstream in 2 hours and 30 miles downstream in 45 minutes. How fast can the row team paddle in still

sp2606 [1]

Answer:

Rate in still water = 27.5 mph

Current's rate = 12.5 mph

Step-by-step explanation:

Let

x mph = row team rate in still water

y mph = current's rate

Upstream:

Distance = 30 miles

Time = 2 hours

Rate = x - y mph

Then

$30=2(x-y)$

Downstream:

Distance = 30 miles

Time = 45 minutes $=\dfrac{3}{4}$ hour

Rate = x + y mph

Then

$30=\dfrac{3}{4}(x+y)$

From the first equation:

$30=2(x-y)\Rightarrow 15=x-y$

From the second equation:

$30=\dfrac{3}{4}(x+y)\Rightarrow 40=x+y$

Add these two equations:

$15+40=x-y+x+y\\ \\2x=55\\ \\x=27.5\ mph$

Subtract these two equations:

$40-15=x+y-(x-y)\\ \\25=x+y-x+y\\ \\2y=25\\ \\y=12.5\ mph$

8 0

4 years ago

What is 165 times 365

Natalka [10]

Answer:

60225

Step-by-step explanation:

4 0

3 years ago

If you read 1/4 of a book, how much can you read in one hour

djverab [1.8K]

You need to know how fast you could read one fourth of the book. Then you can answer

4 0

3 years ago

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them with reposition, because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

$P(D = 0) = (1-0.06)^{13} = 0.447$
$P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371$

We conclude that

$P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818$

Hence, the shipment will be accepted with probability 0.818

I hope this helps you!

6 0

3 years ago