Ayana and Leah were trying to solve the equation:
(x- 5)^2 + 4 = 16
Ayana said, "I'll take the square root of both sides and rewrite the equation as (x-5) +2 = 4. Then I'll solve
for x"
Leah said, "Ill isolate (x - 5)^2 by subtracting 4 from both sides of the equation. Then I'll solve by taking the
square root."

Answers

Answer 1

Answer:

only leahs

Step-by-step explanation:

ayana is wrong

Answer 2

The statement given by Lean that "Ill isolate (x - 5)^2 by subtracting 4 from both sides of the equation. Then I'll solve by taking the square root." is correct way of solving an equation.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be solved as shown below,

(x- 5)² + 4 = 16

Subtract 4 from both the sides of the equation,

(x- 5)² + 4 -4 = 16 - 4

(x- 5)² = 12

Taking square root of both the sides of the equation,

√(x- 5)² = √12

x - 5 = √12

Add 5 on both the sides of the equation,

x - 5 + 5 = √12 + 5

x = √12 + 5

Now, if both Ayana and Leah process of solving is compared with the solution above, it can be concluded that Leah is using the correct method to solve the equation.

Hence, the statement given by Lean that "Ill isolate (x - 5)^2 by subtracting 4 from both sides of the equation. Then I'll solve by taking the square root." is correct way of solving an equation.

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Related Questions

A car is moving at an acceleration of 20 m/s^2 and hits a wall with a force of 400 N. What is the mass of the car?

Answers

i dont know the answer but i know in the end ill get free points.

Answer:

Acceleration = change in velocity/change in time, a = (vf - vi)/t [Units: m/s/s or m/s2] .. Example: A car collides with an insect. If the car exerts a force of 10N on the insect what ... a level sidewalk at a constant speed of 1m/s if the frictional force is 400N? ... d) When the stick is hit slowly string 2 breaks because of the inertia of mass M.

​If, in a random sample of ​items, are​ defective, what is the sample proportion of defective​ items?

Answers

Complete Question:

If in a random sample of 400 items, 88 are defective, what is the sample proportion of defective items?

Answer:

22%

Step-by-step explanation:

Given

[tex]x = 88[/tex]

[tex]n = 400[/tex]

Required

Determine the sample proportion, p

p is calculated using the following formula

[tex]p = \frac{x}{n}[/tex]

Substitute values for x and n

[tex]p = \frac{88}{400}[/tex]

[tex]p = 0.22[/tex]

Convert to percentage

[tex]p = 0.22 * 100\%[/tex]

[tex]p = 22\%[/tex]

Hence, the proportion of defective items is 22%

Which of the following are equivalent expressions? SELECT ALL THAT APPLY.

A
(x2)5= x7

B
x9 ÷ x4 = x13

C
x-2 = 1x2

D
(2x2y5 )3 = 2x5y8

E
(2x2y5)3 = 8x6y15

Answers

Answer:x^1/2 • 1/3 x^1/2 + 1/3

Step-by-step explanation:

The equivalent expressions are,

C) x⁻² = 1/x²

E) (2x²y⁵)³ = 8x⁶y¹⁵

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We can all the expression as,

A) (x²)⁵ = x⁷

LHS, (x²)⁵ = x¹⁰

               ≠ x⁷

B) x⁹ ÷ x⁴ = x¹³

LHS, x⁹ ÷ x⁴ = x ⁹⁻⁴

                  = x⁵

                  ≠ x¹³

C) x⁻² = 1/x²

LHS, x⁻² = 1/x²

             = 1/x²

D) (2x²y⁵)³ = 2x⁵y⁸

LHS, (2x²y⁵)³ = 8x⁶y¹⁵

                   ≠ 2x⁵y⁸

E) (2x²y⁵)³ = 8x⁶y¹⁵

LHS, 2x²y⁵)³ = 8x⁶y¹⁵

Thus, The equivalent expressions are,

C) x⁻² = 1/x²

E) (2x²y⁵)³ = 8x⁶y¹⁵

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In triangleJKL, If angle J is seven less than angle L and angle k is 21 less than twice angle l, find the measure
of each angle.

Answers

Answer:

J=35  K=63  L=42

Step-by-step explanation:

Fourteen more than three times a number is sixty-seven.

Answers

Answer:

67 = 3n + 14

Step-by-step explanation:

So we know its going to equal 67, and 3 times a number is the same as 3n more than is to show addition. That means you are adding 14 to 3n.

That's why it would be,

14 + 3n = 67

Hope that helps and have a great day!

Answer:

8[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

67 ÷ 3 - 14

22[tex]\frac{1}{3}[/tex] - 14

8[tex]\frac{1}{3}[/tex]

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Write an equation in standard form for the line with a slope of 7 that passes through the point (1, 2).​

Answers

Answer:

y=7x+2

please someone correct this if I'm wrong :D

EDIT: THIS IS SLOPE INTERCEPT FORM IM SORRYY

Step-by-step explanation:

y=mx+b

y=7x+b

y=7x+2

2 is the y in (1,2), y intercept

An office will increase salary to its top 8% employees on the basis of a performance score the office created for each employee. The performance score is approximately normal with mean 82.5 and standard deviation 9.25. How high must an employee score in order to qualify for increase in the salary?

Answers

Answer:

An employee's score in order to qualify for increase in the salary must be higher than 95.45.

Step-by-step explanation:

Let X represent the performance score of employees.

It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.

It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.

That is, the probability to qualify for increase in the salary is,

P (X > x) = 0.08

⇒ P (X < x) = 0.92

⇒ P (Z < z) = 0.92

The corresponding z-value is,

z = 1.40

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\1.40=\frac{x-82.5}{9.25}\\\\x=82.5+(1.40\times 9.25)\\\\x=95.45[/tex]

Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.

rittany is selling homemade cupcakes at the community bake sale. The graph shows the cost/profit vs. the number of cupcakes sold.
How much did Brittany spend so that she could bake the cupcakes? (Remember to include the units!)

Answers

$12 because she is starting at -12

Solve for n:
-5(n + 6) = 3(7 + 3n) + 3n ​

Answers

Answer:

n = -3

Step-by-step explanation:

-5n-30=21+9n+3n

-5n-30=21+12n

-17n=51

n=-3

What is the unit rate for $320 for 18 ft squared to the nearest hundredth?

Answers

Rice ...............

a person who wrote history is called​

Answers

Answer:Historian

Step-by-step explanation:

A historian

is a person who studies and writes about the past and is regarded as an authority on it. Historians are concerned with the continuous, methodical narrative and research of past events as relating to the human race; as well as the study of all history in time.

hope this help!

Find the percent of increase or decrease, p, from $8 to $13. Round to the nearest percent (ones digit).

p= ______%

Answers

13/8 - 1 = .625

So, 63%

A machine fill bags with cement. Assume the actual masses of the bags have a normal distribution. If the standard deviation of the amount dispensed is 1.1 lb and the mean is set to 50 lb. What proportion of bags have a mass more than 50.4 lb? (2 p

Answers

Answer:

0.35808

Step-by-step explanation:

Given a normal distribution :

Mean (m) = 50 lb

Standard deviation (σ) = 1.1 lb

Proportion of bags with mass more than 50.4 lbs

X : X > 50.4 lbs

Using the Zscore relation :

Zscore = (x - m) / σ

Zscore = (50.4 - 50) / 1.1

Zscore = (0.4) / 1.1

Zscore = 0.3636363

P(Z > 0.3636) = 1 - P(Z < 0.3636)

P(Z < 0.3636) = 0.64192

1 - P(Z < 0.3636) = 1 - 0.64192 = 0.35808

IF YOU ANSWER THIS I WILL LOVE YOU FOREVER! Which expression is equivalent to this equation?

Answers

Answer:

It's either A or B but im not sure which one

Step-by-step explanation:

10
The following table shows Edward's bank account for the month of May.
Date
Deposit Withdrawal Balance
May 2nd
$1,000
$1,000
May 9th
$250
$750
May 10th
$320
$430
May 26th
$10
$
May 27th
$500
$
Determine the account balance on May 26th and May 27th.
How much were the net withdrawals for the month of May?
dollars.

Answers

Answer: 440 dollars and -60

Step-by-step explanation:

Add ten to 430 and you’ll get 440. With a withdrawal of 500 and a balance of 440, the answer will be a negative 60 dollars.

What is 4y+2y simplified by?

Answers

Answer:

4*​y+​2*​y

Step-by-step explanation:

Write the equation of the line in slope-intercept form, if the slope is 12 and the point it passes through is (2,-4) *

A. y=12x+28
B.y=12x-28
C.y=12x-20
D.y=12x​

Answers

The answer is c. y=12x-20
y-y1=m(x-x1) plug in the points (2,-4)

y- -4= 12 (x-2) to get the answer

If 173 is a prime number, what must one of its factors be?
O 173
17
37
3

Answers

Answer:

173

Step-by-step explanation:

The factors are 173 and 1.

The answer to your question is 137

Which whole number property is repersebted

Answers

Answer:

Step-by-step explanation:

In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. 17, 99, 267, 8107 ,and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards. Whole numbers include positive integers along with 0.

A manufacturer produced soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 8% of the cans are defective. What is the probability that the two cans are defective if the quality control worker selects the two cans from a batch of 50 cans?

Answers

Step-by-step explanation:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

And ice cream stand sold $1600 worth of ice cream on Saturday which was four times the amount sold on Friday how much money did the ice cream man collect on Friday no

Answers

Answer:

$400

Step-by-step explanation:

Saturday: $1600, 4 times the amount of Friday

Friday: 1/4 the amount of Saturday

Friday: 1/4 * $1600 = $400

What is the slope passing through the lines (-2,-1) (5,-4)

Answers

Answer:

-3/7 or −0.428571428571

Step-by-step explanation:

subtract -4 - -1 and 5 - -2

y1 - x1 / y2 - x2

Nancy has $700 and is spending $30 per week. Libby has $200 and is saving $20 per week. In how many weeks will Nancy and Libby have the same amount of money?

12

20

15

10

Answers

Answer:

20

Step-by-step explanation:

Answer:

D 10

because 400=400

Step-by-step explanation:

N :700 - 30 (x)

L : 200 - 20 (x)

so the 1st week they'll both equal

N:670

L:220

we'll continue the subtraction process until they both hit and equal amount or hit zero

or the faster way, use the options of weeks were giving

lets try A

12th week

L: 12 x 30 = 360

700- 360 = 340

N: 12 x 20 = 240

200 + 240 = 440

340 < 440

we're a bit off from equal so next is B

N: 30 x 20 = 600

700 - 600 = 100

L: 20 x 20 = 400

200+ 400 = 600

100<600

this is incorrect as well which makes it incorrect which makes the user above incorrect  

c.

N; 15 x 30 = 450

700 - 450 = 250

L: 15 x 20 = 300

200 + 300 = 500

250 < 500

Incorrect

the last option might be correct but lets check

30 x 10 = 300

700-300 = 400

10 x 20 = 200

200+200 = 400!

400=400 D is correct

Darin in recorded the height of a tree planted from a seed at different time intervals.His data is shown in the table below

Answers

Answer: C

Step-by-step explanation:

It's using theorms. Both 8,9​

Answers

The line segment and ray with the arrow markers on them are parallel, so y = 30 because they are alternating interior angles.

Similarly, x = 75 because it corresponds on the angle with measure 75º at the top of the triangle. This also follows from the given two parallel lines.

Answer:

I don't know, Sorry

Step-by-step explanation:

Study the area model.
Which multiplication equation could represent the area model?
5.03 x 2.02 = 10.16
3.05 * 2.02 = 6.16
2.2 x 5.3 = 11.66
2.2 x 3.5 = 7.7

Answers

answr is A
explanation:

Suppose the weather at Chebyshev Citadel is either sunny or cloudy. A sunny day is followed by a sunny day with probability 0.7, and a cloudy day is followed by a sunny day with probability 0.5. If it is sunny today, what is the probability that it will be sunny 3 days later

Answers

Answer:

0.628

Step-by-step explanation:

From the information given:

Let S represent sunny days and C represent cloudy days;

S is expressed in the matrix to be in the first row and first column

C is expressed in the matrix to be in the second row and second column

Then, the transition for the probability matrix can be computed as follows:

[tex]P = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right][/tex]

[tex]P^2 = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right] \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right][/tex]

[tex]P^2 = \right. \left[\begin{array}{cc}0.49+0.15&0.21+0.15\\0.35+0.25&0.15+0.25\\\end{array}\right] \right.[/tex]

[tex]P^2 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right.[/tex]

[tex]P^3 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right. \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right][/tex]

[tex]P^3 = \right. \left[\begin{array}{cc}0.628&0.372\\0.62&0.38\\\end{array}\right] \right.[/tex]

So, if it is sunny, the probability that it is going to be sunny 3 days later = 0.628

Using the transition of the events, it is found that there is a 0.628 = 62.8% probability that it will be sunny 3 days later.

The transition of events, considering that it is sunny today and we want it to be sunny 3 days later, is given by:

S - S - S - S

S - C - S - S

S - S - C - S

S - C - C - S

Considering the probabilities stated in the exercise(S - S: 0.7, S - C: 0.3, C - S: 0.5, C - C: 0.5), for the last three days, the probability is:

[tex]p = 0.7^3 + 0.3(0.5)(0.7) + 0.7(0.3)(0.5) + 0.3(0.5)(0.5) = 0.628[/tex]

0.628 = 62.8% probability that it will be sunny 3 days later.

A similar problem is given at https://brainly.com/question/22410644

What is 9.023 as a mixed number

Answers

The answer would be 9023/1000 as a mixed number.

Help me PLEASE! will mark brainliest and also the other things
THX :)

Answers

Answer:

for A    n=6

for B    x= 3.5

Step-by-step explanation:

A. so if you know what one thing is (10)then you sub them 28-10=18 now do 18/3 which is 6

b. same think but you do 7/2 which is 3.5

HOPE THIS HELPED!!!!!!!! :)

64 1 x dx 0 Maple Generated Plot At least one of the limits of integration is not finite. The integrand is not continuous on [0, 64]. Determine whether it diverges or converges. converges diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.) 7 Incorrect: Your answer is incorrect.

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : The Integrand converges

Step-by-step explanation:

attached below is the detailed solution to the problem

i) the integrand is not continuous on [ 0, 64 ] hence the integrand is improper

ii) determine if the integrand diverges or converges ( attached below )

The integrand is finite and it converges at 16

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