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77julia77 [94]
3 years ago
6

Find the slope of the line whose equation is 4x - 6y = 8.

Mathematics
2 answers:
Lesechka [4]3 years ago
7 0

Answer:

m=2/3

Step-by-step explanation:

The slope of a linear equation is the coefficient thats multiply the "x", when the Linear equation is in the form y=mx+b.

So you have to express your equation in the form y=mx+b.

4x-6y=8

4x-8=6y

Now we divide both sides of the equation by 6

(4/6)x-(8/6)=y

Finally the number thats multiply x is 4/6 thats is equal to 2/3

ss7ja [257]3 years ago
4 0

Answer:

Slope=\frac{2}{3}

Step-by-step explanation:

4x - 6y = 8 ⇔ - 6y = -4x + 8 ⇔ y = 4/6x - 8/6 ⇔ y = 2/3x - 4/3

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What is the first step when solving the following inequality x+2/-5<4? Group of answer choices A. Add 5 to both sides and DO
LiRa [457]

Assuming we're dealing with \frac{x+2}{-5} < 4, which is the same as writing (x+2)/(-5) < 4, then the answer is choice C.

We multiply both sides by -5 and this will flip the inequality sign.

-------------------------------------

Multiplying or dividing both sides by a negative number flips the inequality sign.

An example would be saying -2x < 10 leads to x > -5

What we can do is divide both sides by -2 and flip the inequality sign, or we could follow the steps shown below

  • -2x < 10
  • 0 < 10+2x ... adding 2x to both sides
  • -10 < 2x ... subtracting 10 from both sides; this is one way to see why the sign flip happens
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4 0
3 years ago
Recall that m(t) = (1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500g sample of phosphorus-32 decays
katrin2010 [14]

The question is incomplete, here is the complete question:

Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.

<u>Answer:</u> The half life of the sample of phosphorus-32 is 14.28days^{-1}

<u>Step-by-step explanation:</u>

The equation used to calculate the half life of the sample is given as:

m(t)=m_o(1/2)^{t/h}

where,

m(t) =  amount of sample after time 't' = 356 g

m_o = initial amount of the sample = 500 g

t = time period = 7 days

h = half life of the sample = ?

Putting values in above equation, we get:

356=500\times (\frac{1}{2})^{7/h}\\\\h=14.28days^{-1}

Hence, the half life of the sample of phosphorus-32 is 14.28days^{-1}

7 0
3 years ago
Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu. u = &lt;-8, -8
aalyn [17]

Answer:

c.) <-1, 2> + <-2, -1>

Step-by-step explanation:

hope i helped

3 0
3 years ago
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ollegr [7]

Answer:

7/10=0.7

3+0.7=3.7

3.7

Hope this helps

Step-by-step explanation:

4 0
2 years ago
3 thank you so much!!!
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Answer:

(6,2)

Step-by-step explanation:

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