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dybincka [34]
2 years ago
14

13x−6y=22 x=y+6 ​ whats the answer

Mathematics
1 answer:
Vikentia [17]2 years ago
4 0

Answer:

x = -2 y = -8

Step-by-step explanation:

13x - 6y = 22

x - y = 6

6(x-y) = 6*6

6x - 6y = 36

subtract both the equations

13x - 6x -6y + 6y = -14

7x = -14

x = -2

13*-2 -6y=22

-26 -6y=22

-6y = 48

y = -8

answer: x = -2  y = -8

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6 0
3 years ago
Using differential calculus, maximize the volume of a box made of cardboard (top is open) as shown in Figure A. 15, subject to t
lana [24]

The maximum volume of the box is 40√(10/27) cu in.

Here we see that volume is to be maximized

The surface area of the box is 40 sq in

Since the top lid is open, the surface area will be

lb + 2lh + 2bh = 40

Now, the length is equal to the breadth.

Let them be x in

Hence,

x² + 2xh + 2xh = 40

or, 4xh = 40 - x²

or, h = 10/x - x/4

Let f(x) = volume of the box

= lbh

Hence,

f(x) = x²(10/x - x/4)

= 10x - x³/4

differentiating with respect to x and equating it to 0 gives us

f'(x) = 10 - 3x²/4 = 0

or, 3x²/4 = 10

or, x² = 40/3

Hence x will be equal to 2√(10/3)

Now to check whether this value of x will give us the max volume, we will find

f"(2√(10/3))

f"(x) = -3x/2

hence,

f"(2√(10/3)) = -3√(10/3)

Since the above value is negative, volume is maximum for x = 2√(10/3)

Hence volume

= 10 X 2√(10/3)  -  [2√(10/3)]³/4

= 2√(10/3) [10 - 10/3]

= 2√(10/3) X 20/3

= 40√(10/27) cu in

To learn more about Maximization visit

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Complete Question

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3 0
1 year ago
Mr. Lopez wrote the equation 32g+8g-10g=150 on the board. Four students explained how to solve for g. Alyssa: “I added 32 and 8
Vaselesa [24]

Answer:

Wilhem

Step-by-step explanation:

The given equation is

32g+8g-10g=150

Step 1 : Add 32g and 8g.

(32g+8g)-10g=150

(32+8)g-10g=150

40g-10g=150

Step 2: Subtract 10 from 40.

(40-10)g=150

30g=150

Step 3: Divide both sides by 30, find the value of g.

\frac{30g}{30}=\frac{150}{30}

g=5

The value of g is 5.

Therefore, Wilhem is correct.

7 0
2 years ago
Read 2 more answers
What is 5 2/3 divided by 3/2
Vladimir [108]
The answer to your question is 20/9
5 0
2 years ago
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Determine whether the given procedure results in a binomial distribution. If it is not​ binomial, identify the requirements that
masha68 [24]

Answer:

This procedure does not result in a binomial distribution because in each trial there are more than two possible outcomes, that is, this problem cannot be simplified as a yes or no question.

Step-by-step explanation:

For the binomial probability distribution being satisfied, two things are necessary:

1) The answer can only be two outcomes, two possibilities, for example, yes/no questions.

2) The probability of a success(an answer) on each trial must be the same. That is, if we are going to survey 100 people if they are Buffalo Bills fans, they will answer yes or no, and each of those 100 people will have the same probability of being a Buffalo Bills fans.

In this problem, we have that:

Surveying 20 college students and recording their favorite TV show.

There is infinite possibilities for each answer. One can answer Narcos, other Monday Night Football, other Sportscentre, and so it goes.

So this procedure does not result in a binomial distribution because in each trial there are more than two possible answers, that is, this problem cannot be simplified as a yes or no question.

If for example, we asked the 20 students if Monday Night Football was their favorite show, then they could answer only yes or no, so it would be a binomial procedure.

3 0
3 years ago
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