how to solve for x and y if the equation is :2√3x+1=6​

Answer:

the 3rd one

Step-by-step explanation:

The sum of the rational expression as required to be determined in the task content is; (7x² + 11) / (x² + 6x + 5).

It follows from the task content that the rational expression whose sum is to be determined is;

x / x+1 + 6x / x+5

Therefore, by using the LCM; (x + 1) (x + 5).

Therefore, the sum is as follows;

{x(x + 5) + 6x (x + 1)} / (x + 1) (x + 5).

= (7x² + 11) / (x² + 6x + 5)

Ultimately, the sum as required is; (7x² + 11) / (x² + 6x + 5).

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Answer:

\( \frac{x(7x + 11)}{(x + 1)(x + 5)} \)

Step-by-step explanation:

\(1. \: \frac{x(x + 5) +6x(x + 1)}{(x + 1)(x + 5)} \\ 2. \: \frac{x(x + 5 + 6(x + 1))}{(x + 1)(x + 5)} \\ 3. \: \frac{x(x + 5 + 6x + 6)}{(x + 1)(x + 5)} \\ 4. \: \frac{x((x + 6x) + (5 + 6))}{(x + 1)(x + 5)} \\ 5. \: \frac{x(7x + 11)}{(x + 1)(x + 5)} \)

Answer:

2

Step-by-step explanation:

Because To get a single x you would have to divide 5x by 5. Whatever you do to one side you have to do to the other so you would do 5 x/5 and get 10/5 and then x=10/5 and 10/5 equals 2 so...x=2 , Hope this helped!

Answer:

Sam is 24 years old and his mother is 48 years old.

Step-by-step explanation:

Equations

Let's call

x   = Sam's current age

Since Sam's mother is twice as old as Sam:

2x = Sam's mother current age

x + 12 = Sam's age in 12 years

2x - 12 = Sam's mother age 12 years ago

These two last expressions are equal:

x + 12 = 2x - 12

Subtracting x and adding 12:

x = 24

2x = 48

Sam is 24 years old and his mother is 48 years old.

Answer:

Sam is 24 and his mom is 48

Step-by-step explanation:

she has $7.85 in quarters and dimes

quarters = 25c

dimes = 10c

she has 12 more

so, we know she has AT LEAST 12 quarters

25 x 12 = 300 = $3.00

but we also know its not possible for her to have more dimes quarters

( im not rlly sure what to do, bc you havent given me multiple choices, but i hope this helps )

Answer:

0.5p < 6.50

p < 13

Step-by-step explanation:

The inequality would be p < 13. Since Madison can't spend more than 6.50, the cost of potatoes would need to be less than 6.50. To solve the inequality, you would have to divide both sides by 0.5, giving you p < 13.

Answer:

Madison can buy 13 pounds of patatoes.

Step-by-step explanation:

You have to divide 6.50 by 0.50, but in order to do that you have to move the decimal on both sides two times to the right then you can divide. Then to double check you muliply 13 by 50.

quadratic equation

-

(x - 7)² = 36

  x - 7 = ±√36

  x - 7 = ± 6

if +6, then x - 7 = 6 → x = 13

if -6 , then x - 7 = -6 → x = 1

it means, A and B are correct!

____

Step-by-step explanation:

=9x-3+x²

=9×4-3+4²

=36-3+16

=49

hope it helps.

The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C

Selection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.

In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.

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\(5 {r}^{2} - 13r - 6 = 0 \\ a = 5 \\ b = - 13 \\ c = - 16 \\\)

r= -(-13)±>

\( \sqrt{( - 13) {}^{2} } - 4.5( - 6)\)

2.5

r= 13±17

10

r=13+17

10

r=13-17

10

\(r = 2 \\ r = \frac{ - 2}{5} \)

\(this \: the \: answer \: your \: question \\ \\ mark \: me \: as \: a \: brainlist \: plz\)

Answer:

PLEASE MARK ME BRAINLIEST!!!!!!!

Step-by-step explanation:

Isosceles Triangle

Answer:

Isosceles Triangle

Step-by-step explanation:

plz make me the Brainliest

Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.

A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.

Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.

The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."

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Answer:

-8

in this the arthmatic difference is table of 2

Answer:

the common d/f is that -2>-4>-6

Answer:

The 4th option.

Step-by-step explanation:

Rational numbers are numbers which can be expressed as a fraction. Irrational numbers are numbers which can't be expressed as a fraction. Square root 16 is a perfect square so it is a rational number.

Answer:

The last one, the square root of 16.

Step-by-step explanation:

All the other answers you'll get a decimal. The square root of 16 is the only one you don't get a decimal for.

4 × 4 = 16

Using BODMAS rule, first the terms inside brackets is simplified. Then, the order of doing operations are done in the order division, multiplication, addition and subtraction.

The expression is (r+s)÷4+r, where use r=14 and s=-2.

Put r=14 and s=-2 in (r+s)÷4+r.

Therefore, the value of the expression is 17.

Answer:

(1,-2)

Step-by-step explanation:

uhhhh

Answer:

Step-by-step explanation:

From the information given:

the rate of the cars = \(\dfrac{1}{5} \ car / min = 0.2 \ car /min\)

the rate of the buses = \(\dfrac{1}{10} \ bus / min = 0.1 \ bus /min\)

the rate of motorcycle = \(\dfrac{1}{30} \ motorcycle / min = 0.0333 \ motorcycle /min\)

The probability of any event at a given time t can be expressed as:

\(P(event \ (x) \ in \ time \ (t)\ min) = \dfrac{e^{-rate \times t}\times (rate \times t)^x}{x!}\)

∴

(a)

\(P(2 \ car \ in \ 20 \ min) = \dfrac{e^{-0.20\times 20}\times (0.2 \times 20)^2}{2!}\)

\(P(2 \ car \ in \ 20 \ min) =0.1465\)

\(P ( 1 \ motorcycle \ in \ 20 \ min) = \dfrac{e^{-0.0333\times 20}\times (0.0333 \times 20)^1}{1!}\)

\(P ( 1 \ motorcycle \ in \ 20 \ min) = 0.3422\)

\(P ( 0 \ buses \ in \ 20 \ min) = \dfrac{e^{-0.1\times 20}\times (0.1 \times 20)^0}{0!}\)

\(P ( 0 \ buses \ in \ 20 \ min) = 0.1353\)

Thus;

P(exactly 2 cars, 1 motorcycle in 20 minutes) = 0.1465 × 0.3422 × 0.1353

P(exactly 2 cars, 1 motorcycle in 20 minutes) = 0.0068

(b)

the rate of the total vehicles = 0.2 + 0.1 + 0.0333 = 0.3333

the rate of vehicles with exact change = rate of total vehicles × P(exact change)

\(= 0.3333 \times \dfrac{1}{4}\)

= 0.0833

∴

\(P(zero \ exact \ change \ in \ 10 minutes) = \dfrac{e^{-0.0833\times 10}\times (0.0833 \times 10)^0}{0!}\)

P(zero  exact  change  in  10 minutes) = 0.4347

c)

The probability of the 7th motorcycle after the arrival of the third motorcycle is:

\(P( 4 \ motorcyles \ in \ 45 \ minutes) =\dfrac{e^{-0.0333\times 45}\times (0.0333 \times 45)^4}{4!}\)

\(P( 4 \ motorcyles \ in \ 45 \ minutes) =0.0469\)

Thus; the probability of the 7th motorcycle after the arrival of the third one is = 0.0469

d)

P(at least one other vehicle arrives between 3rd and 4th car arrival)

= 1 - P(no other vehicle arrives between 3rd and 4th car arrival)

The 3rd car arrives at 15 minutes

The 4th car arrives at 20 minutes

The interval between the two = 5 minutes

For Bus:

P(no other vehicle  other vehicle arrives within 5 minutes is)

= \(\dfrac{6}{12} = 0.5\)

For motorcycle:

\(= \dfrac{2 }{12} = \dfrac{1 }{6}\)

∴

The required probability = \(1 - \Bigg ( \dfrac{e^{-0.5 \times 0.5^0}}{0!} \times \dfrac{e^{-1/6}\times (1/6)^0}{0!} \Bigg)\)

= 1- 0.5134

= 0.4866

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

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Answer:

\(6 + {x}^{2} \)

That is the answer.

Hope this helps ya.

Answer:

n^2 + 6

Step-by-step explanation:

Let the number be n.  

Then the sentence translates into n^2 + 6.

Answer:

Step-by-step explanation:

Option B , C  and E are correct

Answer:

7 days mate

Step-by-step explanation:

Too lazy, solve it yourself

Answer:

\(3x - 5 = 2 {x}^{2} \\ = > 3x = 2 {x}^{2} + 5 \\ = > x = \frac{2 {x}^{2} + 5 }{3} \)

Answer:

9.5

Step-by-step explanation:

\(1. \ \frac{AB}{PQ} =\frac{BM}{QN} ; = >\)

\(2. \ \ \frac{11}{4.4} =\frac{BM}{3.8} ; \ = > \ BM=\frac{11*3.8}{4.4} =9.5.\)

Answer:

try to look it up it shows you videos and everything

Step-by-step explanation:

can i please have a thank you heart and brainliest

Answer:

Try using ^# to show an exponent

Explanation:

People will probably still understand it

Hope it helped!

The perimeter and area of the original square are 4s and s², respectively, and the perimeter and area of the dilated square are 192 and 2304, respectively.

What is area of square ?

Area of square can be defined as the square of given side.

Given ,

Let's assume that the side length of the original square is 's'. The perimeter of the original square is then 4s and its area is s².

The perimeter of the dilated square will be 4 times longer than the original square, so it will be 4 * 4s = 16s.

The area of the dilated square will be 4 times greater than the original square, so it will be 4^2 * s² = 16s².

Here s is 12

so ,

16s = 16 * 12 = 192

16s*s = 16 * 12 * 12 = 2304

Therefore, The perimeter and area of the original square are 4s and s², respectively, and the perimeter and area of the dilated square are 192 and 2304, respectively.

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Answer: 10x-6

Step-by-step explanation:

we know that perimeter P is 2L+2W

2L= 2(3x+2)=6x+4

2W=2(2x-5)=4x-10

P=6x+4+4x-10=10x-6

Solving a system of equations we can see that the washer costs $750, and the dryer costs $250.

Let's define the variables:

x = cost of the washer.

y = cost of the dryer.

We know that the cost combined is $1000, then:

x  + y = 1000

And the washer cost 3 times the cost of the dryer, then we will get:

x = 3y

So we have a system of equations, we can replace the second equation into the first one, so we will get:

3y + y = 1000

4y = 1000

y = 1000/4

y = 250

The cost of the washer is:

x = 3*250 = 750

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