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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A typical person has an average heart rate of 70.0 70.0 beats/min. Calculate the given questions. How many beats does she have in 6.0 6.0 years? How many beats in 6.00 6.00 years? And finally, how many beats in 6.000 6.000 years? Pay close attention to significant figures in this question.

Answers

Answer:

a) 2.2 × 10⁸ beats

b) 2.20 × 10⁸ beats

c) 2.207 × 10⁸ beats

Step-by-step explanation:

Data provided in the question:

Average heart rate of a typical person = 70.0 beats/min

Now,

In the given cases, the significance is on the significant figures after the decimal

Therefore,

the answer is will be provided accordingly

Now,

a) Time = 6.0 years

[since 1 significant figure after decimal. answer will be give in  1 significant figure after decimal ]

time in minutes = 6.0 × 365 × 24 × 60

= 3.1 × 10⁶ minutes

Total beats = Average heart rate × Time

= 70 × 3.1 × 10⁶

= 2.2 × 10⁸ beats

b)  Time = 6.00 years

[since 2 significant figure after decimal. answer will be give in 2 significant figure after decimal ]

time in minutes = 6.00 × 365 × 24 × 60

= 3.15 × 10⁶ minutes

Total beats = Average heart rate × Time

= 70 × 3.15 × 10⁶

= 2.20 × 10⁸ beats

c) Time = 6.000 years

[since 3 significant figure after decimal. answer will be give in 3 significant figure after decimal ]

time in minutes = 6.000 × 365 × 24 × 60

= 3.154 × 10⁶ minutes

Total beats = Average heart rate × Time

= 70 × 3.154 × 10⁶

= 2.207 × 10⁸ beats

PLEASE HELP
Which is the function represented by the table?

Answers

Answer:

f(x) = 4x

Step-by-step explanation:

-2 x 4 = -8

-1 x 4 = -4

0 x 4 = 0

1 x 4 = 4

B) The perimeter of the rectangle below is 42cm. Calculate thelengths of the sides by forming an equation and solving it.

x-2
x + 5​

Answers

Answer:

L = 14  W = 7

Step-by-step explanation:

2L + 2W = P

2 (x - 2) + 2(x + 5) = 42

2x - 4 + 2x + 10 = 42

4x + 6 = 42

    -6.      -6

4x = 36

x = 9

9 - 2 = 7

9 + 5 = 14

PLS HURRY use the graph to answer the question. Which table of ordered pairs shows a proportional relationship? x 1 12
y 2 6

x 5 12
y 10 6

x 5 8
y 10 4

x 3 5
y 6 10

Answers

Both lines on the graph show proportional relationships. You want to choose the table that has both of its points on the same line. That would be the 4th one:

... x 3 5

... y 6 10

i got the same answer as the other dude but i dont know if i did it the right way. i multiplyed each number opisite from the other so 10 x 3 and 6 x 5 and they both equaled 30 so i guess.?? tell me if i solved this right. probbaly not

A thermometer reading 70F is taken outside. Five minutes later the thermometer reads 40F. Thirty-five minutes after being taken outside, the thermometer reading is within one-half a degree of the outside temperature. Find the value of the outside temperature assuming it is constant. Ans. 9.5oF

Answers

Answer:

yes

Step-by-step explanation:

Final answer:

To find the value of the outside temperature, we will convert the Fahrenheit temperature readings to Celsius and use the given information. The outside temperature is approximately 9.5 °C assuming it is constant.

Explanation:

To find the value of the outside temperature, we will solve the problem using the Celsius scale. On the Celsius scale, the freezing point of water is 0 °C and the boiling point is 100 °C. The unit of temperature on this scale is the degree Celsius (°C). We can convert the Fahrenheit temperature readings to Celsius and then find the outside temperature using the given information.

Step 1: Convert the initial temperature from Fahrenheit to Celsius:
Initial temperature = 70 °F = 21.111 °C

Step 2: Convert the temperature after 5 minutes from Fahrenheit to Celsius:
Temperature after 5 minutes = 40 °F = 4.444 °C

Step 3: Calculate the change in temperature:
Change in temperature = (Temperature after 5 minutes - Initial temperature) = (4.444 °C - 21.111 °C) = -16.667 °C

Step 4: Calculate the rate of change of temperature per minute:
Rate of change of temperature per minute = (Change in temperature / 5 minutes) = (-16.667 °C / 5 minutes) = -3.333 °C/minute

Step 5: Calculate the temperature 35 minutes after being taken outside:
New temperature = (Initial temperature + (Rate of change of temperature per minute x 35 minutes)) = (21.111 °C + (-3.333 °C/minute x 35 minutes)) = 9.444 °C

Step 6: Since the thermometer reading 35 minutes later is within one-half degree of the outside temperature, the outside temperature is approximately:

Outside temperature = (New temperature ± 0.5 °C) = (9.444 °C ± 0.5 °C) = 8.944 °C to 9.944 °C

So, assuming the outside temperature is constant, the value of the outside temperature is approximately 9.5 °C.

Learn more about Converting Fahrenheit to Celsius here:

brainly.com/question/34806609

#SPJ2

Abigail has $400 in her savings account. She wants to keep at least $160 in the account.She withdraws $40 each week for food. Write and solve an inequality to show how many
weeks she can make withdrawals from her account.

Answers

Answer:

400-40x x=6

Step-by-step explanation:

400 in total. minus 40 each week (x)

40 × 6= 240

400-240=160