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)









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In ∆ABC, c=5.4, a= 3.3 and M less than A =20. What are the possible approximate length of b? Use the laws of sines to find answer 2.0 units and 4.6 units
2.1 units and 8.7 units
2.3 units and 7.8 units
2.6 units and 6.6 units

Answers

The Law of Sines tells you

... sin(C)/c = sin(A)/a

... sin(C) = c·sin(A)/a . . . . multiply by c

... C = arcsin(c·sin(A)/a) . . take the inverse sine

Then

... sin(B)/b = sin(A)/a . . . . law of sines again

... b = a·sin(B)/sin(A) . . . . multiply by a·b/sin(A)

where B = 180° - A - C = 160° - C . . . . . . sum of angles in a triangle is 180°


Filling in the given values, we get

... C = arcsin(5.4·sin(20°)/3.3) ≈ 34.033° or 145.967°

Then

... B = 125.967° or 14.033°

and

... b = 3.3/sin(20°)·sin(125.967°) or 3.3/sin(20°)·sin(14.033°)

... b = 7.8 or 2.3 . . . units


The appropriate choice is

... 2.3 units and 7.8 units

Answer:

C)2.3 units and 7.8 units

Step-by-step explanation:

Which statement is true about the ordered pair (5 , 2)? A. To plot the ordered pair (5 , 2), travel two units to the right on the x-axis and five units up on the y-axis, from the origin. B. To plot the ordered pair (5 , 2), travel five units to the right on the x-axis and two units up on the y-axis, from the origin. C. To plot the ordered pair (5 , 2), travel five units to the right on the y-axis and two units up on the x-axis, from the origin. D. To plot the ordered pair (5 , 2), travel two units to the right on the y-axis and two units up on the x-axis, from the origin.

Answers

Answer:

b

Step-by-step explanation:

you can tell because it cant be D or C because you cant go right on the y axis and up on the x axis. it cant be A because 5 is the x and 2 is the y. A says that 5 is the y and 2 is the x. so it has to be B.

Answer:

B

Step-by-step explanation:

The price of a technology stock has risen to $9.82 today. Yesterday's price was $9.71. Find the percentage increase. Round your answer to the nearest tenth of a percent.​

Answers

The percentage increase is 1.1% to the nearest tenth

The calculation can be done as follows

Original price= $9.82

increase= $9.71

Change in price= 9.82-9.71

= 0.11

percent increase= 0.11/9.82 × 100

= 1.12

= 1.1 (to the nearest tenth)

Hence the percent increase is 1.1%

Please see the link below for more information

brainly.com/question/10613149?referrer=searchResults

Answer:

9.71 ÷ 9.82 = .9987 or 1% .

Sergio and Lizeth have a very tight vacation budget. They plan to rent a car from a company that charges $75 a week plus $0.25 a mile. How many miles can they travel and still keep within their $200 budget?

Answers

Answer: 500 miles

Step-by-step explanation:

Given : Sergio and Lizeth have planned to rent a car from a company that charges $75 a week plus $0.25 a mile.

i.e. Fixed charge= $75

Rate per mile = $0.25

Let x denotes the number of miles.

Then, Total charges = Fixed charge+ Rate per mile x No. of miles traveled

=  $75+ $0.25x

To keep budget within $200, we have following equation.

75+0.25x=200\n\n\Rightarrow\ 0.25=200-75\n\n\Rightarrow\ 0.25=125\n\n\Rightarrow\ x=(125)/(0.25)=(12500)/(25)=500

Hence, they can travel 500 miles and still keep within their $200 budget.

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.

A baker is calculating the charge for two types of cookies. what formula tells the cost, in dollars, if chocolate chip cookies are $1.50/dozen and lemon frosted cookies $1.00/dozen. c=number of dozen of chocolate chip cookies; L=number of dozen lemon frosted; T=total charge.

Answers

Answer: Each dozen of chocolate chip cookies costs $1.50/dozen. So if you sell C dozens of them, you win C*$1.50 dollars, where C is a positive integer number. Similar case for the lemon ones, the baker will win L*$1.00 dollars if he sells L dozens of them ( where L is a positive integer), the total charge is the sum of both parts; T = L*$1.00 + C*$1.50.

$1.50c(chocolate chips) +  $1.00L(lemon frosted)=T(total cost)