MATHEMATICS COLLEGE

Sqrt( 7x ) + 1 = sqrt( 7x + 1 )

Solve it?

Answers

Answer 1
Answer: √(7x) +1 = √(7x+1)

First isolate a square root on the left side:
√(7x) = - 1 + √(7x+1)

Now, delete the radical on the left side, Raise both sides squarely:
(√(7x))^2 = (-1+ √(7x+1) )^2


Thus:
7x = 1 - 2 √(7x+1) + 7x + 1
7x = 7x+1+1-2 √(7x+1)
7x = 7x+2-2 √(7x+1)

Find the radical remainder by isolating a radical on the left side again:
2 √(7x+1) = -\diagup\!\!\!\! 7x+\diagup\!\!\!\! 7x+2
2 √(7x+1) = 2

Now, delete the radical on the left side, Raise both sides squarely:
(2 √(7x+1))^2 = (2)^2

Solving, We have:
2^2(7x+1) = 4
4(7x+1) =4
28x+4 = 4
28x = \diagup\!\!\!\! 4 -\diagup\!\!\!\! 4
28x = 0
x = (0)/(28)
\boxed{x = 0}

Confirm that the solution is correct
Statement equation
√(7x) = - 1 + √(7x+1)

*Replaces "0" in "x"
√(7*0) = - 1 + √(7*0+1)
√(0) = - 1 + √(0+1)
0 = - 1 + √(1)
0 = - \diagup\!\!\!\! 1 + \diagup\!\!\!\! 1
Solution:
\boxed{0 = 0}  (TRUE)

Related Questions

A manufacturing company has two retail outlets. It is known that 40% of all potentialcustomers buy products from outlet 1 alone, 35% buy from outlet 2 alone, and 10% buy fromboth 1 and 2. LetAdenote the event that a potential customer, randomly chosen, buys fromoutlet 1, and letBdenote the event that the customer buys from outlet 2. Suppose a potentialcustomer is chosen at random. For each of the following events, represent the eventsymbolically and then find its probability.Required:a. The customer buys from outlet 1. b. The customer does not buy from outlet 2. c. The customer does not buy from outlet 1 or does not buy from outlet 2. d. The customer does not buy from outlet 1 and does not buy from outlet 2.
Grace's walking rate is 1.5 meters per second. Her house is 90 meters from the fountain. How many seconds will it take her to reach the fountain?
What is te average number of tomatoes on the 10 plants that were randomly selected ?
The local orchestra has been invited to play at a festival. There are 111 members of the orchestra and 6 are licensed to drive large multi-passenger vehicles. Busses hold 25 people but are much more expensive to rent. Passenger vans hold 12 people. make a system of equations to find the smallest number of busses the orchestra can rent. Let x= the number of busses and y= the number of vans make an equation representing the number of vehicles needed. __________ make an equation representing the total number of seats in vehicles for the orchestra members. __________ Solve the system of equations. How many busses does the orchestra need to rent? ____________ How many 12-passenger vans does the orchestra need to rent? ____________
Dical and exponentWhat is 6in radical form?

Employees at a large company are surveyed about their health insurance status. Employees are coded as "1" if health insurance is obtained through the company’s benefit program, "2" if health insurance is obtained from another source (such as through a spouse’s employment benefit program), or "0" if the employee does not have health insurance. This variable is:categorical numerical quantitatively categorical All answers of the answer options are correct.

Answers

Answer:

Categorical is the correct answer to this question.

Step-by-step explanation:

The variable class standing is "Categorial".

  1. As a categorical variable, it is a factor that can accept one of a small, and typically set, range of additional values, assigned each person, and another unit of measurement to a specific group or marginal class on the grounds of some long-lasting.
  2. The data obtained may be either prescriptive or numeric.
  3. Numbers also make no sense when you allocate significance to certain numbers.
  4. Categorical data will help you go there. Classic data is when statistics are obtained in classes or categories.

Let v be the volume of a sphere, s be the surface area of the sphere, and r be the radius of the sphere. which equation represents the relationship between these three measures

Answers

let
v------->  the volume of a sphere
s-------> the surface area of the sphere
r------> the radius of the sphere

we know that
v=(4/3)*pi*r³-----> v=(r/3)*4*pi*r²------> equation 1
and
S=4*pi*r²-----> equation 2

substitute equation 2 in equation 1
so
v=(r/3)*4*pi*r²-------> v=(r/3)*s

the answer is
the equation that represents the relationship between these three measures
 v=(r/3)*s

In the right triangle shown m

Answers

I needa see it tho for I could help
you can’t see anything

Find the average value of f(x) = 7x^2(x^3+1)6 over the interval [0, 2].

Answers

The average value is

\displaystyle\frac1{2-0}\int_0^27x^2(x^3+1)^6\,\mathrm dx

Let u=x^3+1, so that \mathrm du=3x^2\,\mathrm dx:

\displaystyle\frac12\int_1^9\frac73u^6\,\mathrm du=\frac16u^7\bigg|_1^9=\frac{9^7-1}6=\frac{2,391,484}3

34.00 -A video game is on sale at Amazon for 35% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $21 each. They will have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 35% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 65% of the original price and then calculates 110% of the sale price. What is the sale price of the video game with tax? (1 point) Will Pat's strategy calculate the correct total? Explain the calculations. (2 points) Will Henri's strategy calculate the correct total? Explain the calculations. (2 points) Do they each have enough to purchase the game? (2 points) Explain your answers using complete sentences and show your work

Answers

Answer:

Sale price of video game with tax = $20.3775

Yes, they both have enough money to purchase the video game.

Step-by-step explanation:

Given that:

Original price of video game = $28.50

Discount on original price = 35%

Sales tax = 10%

Money available with Pat and Henri = $21 each

First of all, let us find out the price as per Pat's method.

Step 1:

Taking 35% of $28.50

\Rightarrow (35)/(100)* \$28.50 = \$9.975

Step 2:

Subtract from $28.50 to find the sale price:

$28.50 - $9.975 = $18.525

Step 3:

Take 10% of sale price:

\$18.525* (10)/(100) = \$1.8525

Step 4:

Add to sale price to get the final amount to be paid:

$18.525 + $1.8525 = $20.3775

Now, let us use Henri's method:

Step 1:

Find 65% of original price:

(65)/(100)* $28.50 = \$18.525

Step 2:

Find 110%:

(110)/(100)* \$18.525 = \bold{\$20.3775}

Sale price of video game with tax = $20.3775

Yes, they both have enough money to purchase the video game.

89
80
? Find the exact length of the third side

Answers

Answer:

11

Step-by-step explanation:

if this was a triangle then 80+89=169 so if you add 11 then you get 180
It should be 11 I think that’s it
Other Questions
What is 82 degrees below 0
4. Ray RU bisects LQRS. If mSRU =50° and m2QRU = (+10) . Find the value of x.Find m2QRS. (Lesson 1.2) (1 point)
A 224 cm rope is cut so that one part is 3/4 of the other. How long is the shorter rope? The longer rope?
B. The difference between the cash price and the initial deposit in hire purchase is known as ?​