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 data related to air pollution in 10 U.S. cities. The dependent variable Y is the annual mean concentration of sulfur dioxide, in micrograms per cubic meter. The explanatory variable X records the number of manufacturing enterprises employing 20 or more workers. Below is Routput of the relationship between X and Y. Coefficients: Estimate Std. Error t value Pro> tl) (Intercept) 9.4764 9.6266 0.98 0.354 2.0315 0.0070 4.51 0.CO2 ** X Signif. codes: 9 ****' 0.001 ***' 0.01 **' 0.05, 0.1' '1 Residual standard error: 17.9 on 8 degrees of freedom Multiple R-squared: 0.717, Adjusted R-squared: 0.682 F-statistic: 20.3 on 1 and 8 DF, p-value: 0.00198
a) Write the regression equation with parameters from the R output.b) Suppose that the number of manufacturing enterprises employing 20 or more workers in Irvine is 250, could you predict that the annual mean concentration of sulfur dioxide in Irvine?c) What is the residual if in Irvine the annual mean concentration of sulfur dioxide is 15 micrograms per cubic meter.d) What is the value of the correlation coefficient?e) Calculate a 95% confidence interval for the slope of the model.f) Based on the confidence interval, is there a linear relationship between X and Y?

Answers

Answer:

Y = 0.0315x + 9.4764

Residual = 2.35

Correlation Coefficient = 0.847

Step-by-step explanation:

From the R output given :

Intercept = 9.4764

Slope = 0.0315

x = number of manufacturing enterprise employing 20 or more workers

y = annual mean concentration of Sulphur dioxide

The regression equation :

y = bx + c

b = slope ; c = intercept

y = 0.0315x + 9.4764

Prediction using the regression equation :

The predicted y value, when x = 250

y = 0.0315(250) + 9.4764

y = 17.3514

The residual, if actual annual concentration = 15

Y residual = 17.35 - 15 = 2.35

The correlation Coefficient value, R

R = √R²

R = √0.717

R = 0.847

Pls hep

Solve the inequality.

Answers

Answer:

y > 9

Step-by-step explanation:

Given inequality:

-6 > -(2)/(3)y

To solve the given inequality, we need to isolate y on one side of the equation.

Begin by multiplying both sides of the inequality by 3 to eliminate the fraction on the right side:

-6 \cdot 3 > -(2)/(3)y\cdot 3

-18 > -2y

Now, divide both sides of the inequality by -8 to isolate y. Remember to reverse the inequality sign, as we are dividing by a negative number.

(-18)/(-2) > (-2y)/(-2)

9 < y

Therefore, the solution is:

\Large\boxed{\boxed{y > 9}}

1. Julia's goal is to run faster than two of her friends in an upcoming6.2-mile race. The table shows the results of the last race that each
runner finished. Assume they each run the race at the same rate
they ran their last race. Complete the table. Who will finish first
among the three friends, and by how much time will she beat the
second-place finisher?
Runner
Julia
Hazel
Mekena
Last Race
Distance
(mi)
8
5
6
Last Race
Time
(min: sec)
62:00
39:10
46:00
Rate
(min:sec
per mi)
Time for
6.2 Miles
(min: sec)

Answers

It was a good choice to ask Toni to join the team as she would be able to contribute to the team's success in the race.

What is the ratio and proportion ?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls).

To complete the 1-mile relay race in 4:34, each runner must run their quarter-mile leg of the race in a total time of 1:08 (68 seconds).

We can use this information to fill in the missing information in the table:

Runner Rate(min:sec per mi) Time for 1/4mile (min:sec)

Julia 4:40 1:10

Hazel 4:48 1:12

Mekena 4:32 1:08

Toni 4:18 1:04

Based on the table, Toni's rate is faster than the other runners, and her time for a quarter-mile leg of the race is also faster.

Therefore, it was a good choice to ask Toni to join the team as she would be able to contribute to the team's success in the race.

To know more about ratio and proportion visit :

brainly.com/question/12024093

#SPJ1

Please help ALGEBRA II

Answers

The answer is a I know this because I took the test

A store charges 6% GCT on all sales. What is the total cost of a shirt marked at $30? *2 points
Your answer

Answers

Answer:

$12

Step-by-step explanation:

I hope this helps. Have a great day!

Answer:

$31.80

Step-by-step explanation:

first convert 6% into a decimal which is 0.06. then multiply 30 by 0.06 to get 6% of 30 which is 1.80. then add 1.80 to 30 to get your final cost of 31.80

30*0.06=1.80

30+1.80=31.80

final cost: $31.80

Hope this helps!

What is the simplified form of (radical) 400x^100 ?200^10
200^50
20^10
20^50

Answers

\sqrt{400x^(100)}=\sqrt{(20x^(50))^(2)}\n\n=20x^(50)

We suppose you intend this to match the 4th selection.

Answer:  The simplified form of the radical is 20x^(50).

Step-by-step explanation:  We are given to find the simplified form of the  following radical:

R=\sqrt{400x^(100)}.

We will be using the following square root property:

√(a)=a^{(1)/(2)}.

The simplification is as follows:

R\n\n=\sqrt{400x^(100)}\n\n=(400x^(100))^(1)/(2)\n\n=(20^2x^(100))^(1)/(2)\n\n=20^{2*(1)/(2)}* x^{100*(1)/(2)}\n\n=20* x^(50)\n\n=20x^(50).

Thus, the simplified form of the radical is 20x^(50).