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Anton [14]
3 years ago
5

Solve the system. 2x + y = −3 −2y = 6 + 4x Write each equation in slope-intercept form.

Mathematics
2 answers:
Fantom [35]3 years ago
7 0

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

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

2x + y = -3       <em>subtract 2x from both sides</em>

y = -2x - 3


-2y = 6 + 4x

-2y = 4x + 6     <em>divide both sides by (-2)</em>

y = -2x - 3

We have the same equations. Therefore the system of equations is dependent. Has an infinite number of solutions

x ∈ R

y = -2x - 3

melamori03 [73]3 years ago
7 0

Answer:

Solve the system.

2x + y = −3 −2y = 6 + 4x

Write each equation in slope-intercept form.

y = -2x   +   -3

y = -2x +   -3

<h3>What do the equations have in common?<u> </u></h3>

The slopes are the same.

The y-intercepts are the same.

<u>The lines are the same.</u>

<h2>all this is right trust me i just did it   </h2>
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What is the next term in the following sequence? 12,6,3,...
stira [4]

This sequence keeps dividing by 2. So, you would divide 3 by 2 and you would get 1.5.

3 0
3 years ago
What is the fourth term in the binomial expansion of (2x – y) 7?
nata0808 [166]

Answer:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

Step-by-step explanation:

For this case we have the following expression:

(2x-y)^7

And we can use the binomial theorem given by:

(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}

And for this case we want to find the fourth term and using the formula we have:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

8 0
2 years ago
Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the
Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}  

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is P(T)=\frac{1}{2}

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green P(S)=\frac{2}{3}

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three P(C)=\frac{1}{6}

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

P=P(T)+P(S)+P(C)

P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}

P=\frac{3+4+1}{6}

P=\frac{8}{6}

P=\frac{4}{3}

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}

5 0
3 years ago
URGENT PLEASE HELP!!!
ycow [4]
X
x \frac{1}{6}  + 2x \frac{2}{3}
5 0
2 years ago
Solve 2 (3d + 3) = 7 + 6d.
Leni [432]

First distribute in the 2 on the left side to get 6d+6=7+6d

Then, you would combine the variables to be on one side of the equation by doing -6d. However, this would cancel out the d by leaving you with 0d+6=7. That is the same thing as saying 6=7.

The answer to this equation is no solution because 6 is NOT equal to 7.

4 0
3 years ago
Read 2 more answers
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