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2 years ago

A system of equations is shown below.

Mathematics

2 answers:

LenKa [72]2 years ago

6 0

3x-2y=7 9x-6y=k
No solution

GarryVolchara [31]2 years ago

4 0

<h3>Answer: Choice C</h3>

No solutions if k is anything but 21

=======================================================

Explanation:

Let's multiply everything in the first equation by 3

3x-2y = 7

3*(3x-2y) = 3*7

9x - 6y = 21

We have the 9x-6y match perfectly with the left hand side of the second original equation.

If k = 21, then we have two identical equations that produce infinitely many solutions.

If $k \ne 21$ , then this system is inconsistent and has no solutions.

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Can you answer the question in the picture below?

uysha [10]

Step-by-step explanation:

Area of parking lot

$= length \: of \: base \: \times height \\ = 200 \times 120 \\ = 24000 \: {ft}^{2}$

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2 years ago

Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.

Mrrafil [7]

Answer:

$E(X_n)=\frac{2(n-1)}{27}$

$E(y)=\frac{14}{9}$

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green $g=4$

Number of yellow $y=4$

Number of white $w=4$

Probability of Green Followed by yellow P(GY) ball

$P(GY)=\frac{4}{9}*\frac{3}{9}$

$P(GY)=\frac{4}{27}$

Generally the equations for when n is even is mathematically given by

$Probability of success P(S)=\frac{4}{27}$

$Probability of Failure P(F)=\frac{27-4}{27}$

$Probability of Failure P(F)=\frac{23}{27}$

Therefore

$E(X_n)=\frac{n}{2}*P$

$E(X_n)=\frac{n}{2}*\frac{4}{27}$

$E(X_n)=\frac{2n}{27}$

Generally the equations for when n is odd is mathematically given by

$\frac{n-1}{2}$

$E(X_n)=\frac{n-1}{2}*\frac{4}{27}$

$E(X_n)=\frac{2(n-1)}{27}$

Probability of drawing white ball

$P(w)=\frac{2}{9}$

Therefore

$E(w)=\frac{1}{p}$

$E(w)=\frac{1}{\frac{2}{9}}$

$E(w)=\frac{9}{2}$

Therefore

$E(y)=[E(w)-1]\frac{4}{9}$

$E(y)=[\frac{9}{2}-1]\frac{4}{9}$

$E(y)=\frac{14}{9}$

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2 years ago

Will give brainliest to first person to answer with evidence

I am Lyosha [343]

Answer:

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e = 147°

f = 33°

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

All eleven letters in the word GRASSHOPPER are put in a box. What is the probability of drawing a consonant from the box?

Anna007 [38]

R, h, g, s, and p are all constants, so that would be 8/11, or 72% of a chance of getting a consonant.

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)

8 0

2 years ago

The expression below is the factorization of what trinomial-1(x+5)(x+6)

Nadya [2.5K]

Answer:

-x^2 - 11x -30

Step-by-step explanation:

Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.

ie: x(x) and x(6)

ie: x^2 + 6x

Then do the 5 times the things in the second parenthesis.

ie: 5(x) and 5(6)

ie: 5x + 30

Then add what you got from multiplying the first value to what you got from multiplying the second.

ie: x^2 + 11x + 30

This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.

ie: -x^2 - 11x -30

4 0

2 years ago