What is the value of x in the equation x² 16?

Answers

Answer 1

The value of x in the equation x² = 16 is  ± 4

What is the value of x?This is a quadratic equation in one variable.

        Here, x² = 16

        Taking square root on both sides,

        [tex]\sqrt{x^{2} } =\sqrt{16}\\[/tex]

        Simplifying the radicals,

         x = ± 4

Any equation that can be stated as a[tex]x^{2}[/tex] + bx + c = 0, where a, b, and c are coefficients and a 0, is a quadratic equation in x.A quadratic equation in one variable, x, is an equation that can be stated as ax squared plus bx plus c = 0, where the values of a, b, and c are merely constants and the value of a does not equal 0.The degree power of one variable is twice that of another variable, giving quadratic equations their characteristic second degree curve appearance.

To learn more about radicals, refer:

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Related Questions

4y^2+20y+25
Factor the polynomial completely

Answers

Answer:

(2y+5)^5

Step-by-step explanation:

Use the "PERFECT SQUARE RULE"


Question 2
Use pythagroean theorem to find the value of the missing side. Leave answers in simplest radical form.

Answers

Answer:

C

Step-by-step explanation:

a^2 + 49 = 169

     -49          - 49

        a^2 = 120

√120 = 2√30

Someone help me please extra points & brainlest!

Answers

Answer:

my best bet is d

Step-by-step explanation:

tell me if im wrong

Answer:

7x-11

Step-by-step explanation:

remove parentheses

4x-7+3x-4

group like terms

4x+3x-7-4

add similar elements

7x-7-4

then solve

7x-11

Mathew builds a model of a house that is 2 in tall, 6 in wide, and 3 in long. The real house is 20 ft tall, 60 ft wide and 30ft tall. What is the scale used to build the house?

Answers

Answer: 1inch : 10 feet

Step-by-step explanation:

Since we are informed that Mathew builds a model of a house that is 2 in tall, 6 in wide, and 3 in long while the real house is 20 ft tall, 60 ft wide and 30ft tall.

For the length, we can see that the relay house is (30/3) = 10 times the model. The same thing is applicable to others as well as the width and height is 10× the scale used. Therefore, the scale used to build the house is 1inch:10 feet

f(x)=3(x+1)^2-4 then evaluate when x=3

Answers

Step-by-step explanation:

given

[tex]f(x) = 3{(x + 1)}^{2} - 4 \\ f(3) = 3 {(3 + 1)}^{2} - 4 \\ = 3 {(4)}^{2} - 4 \\ = 3(16) - 4 \\ = 48 - 4 \\ = 44[/tex]

Answer:

3(3+1)²-4

3(16)-4

48-4 = 44

You are interested in finding a 90% confidence interval for the average number of names that people can correctly recall after being introduced to 40 people at a party. Based on past research, you know that the standard deviation for this number is 6.34 names. Suppose you surveyed 55 randomly selected people and found that they correctly remembered an average of 18.16 names. The standard deviation for this group was 4.28 names. Round your answers to two decimal places.

A. The sampling distribution follows a __________ distribution.

B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between ______ and _______

C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About _____ percent of these confidence intervals will contain the true population mean number of names remembered and about ______ percent will not contain the true population mean number of names remembered.

Answers

Answer:

A. The sampling distribution follows a normal distribution

B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About 90 percent of these confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered  

Step-by-step explanation:

The given parameters are;

The known population standard deviation of the number of names that people can recall after being introduced to 40 people in a party, σ = 6.34 names

The number of people randomly selected in the survey, n = 55 people

The average number of names correctly remembered, [tex]\overline x_1[/tex] = 18.16

The standard deviation of the group surveyed, s = 4.28

A. Based on the Central Limit Theorem CLT, the sampling distribution follows a normal distribution

B. The 90% confidence interval is given as follows;

[tex]C.I.=\bar{x}\pm z_{\alpha /2}\cdot \dfrac{\sigma}{\sqrt{n}}[/tex]

Where [tex]z_{\alpha /2}[/tex] at 90% = 1.65, we have;

[tex]C.I.=18.16\pm 1.65 \times \dfrac{4.28}{\sqrt{55}}[/tex]

C.I. ≈ 17.20 < μ < 19.11

With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. The 90% confidence interval gives the certainty that if different groups of 55 randomly selected people were surveyed, then about 90 percent of the confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered.

Help Plz
Will mark brainliest

Answers

Answer:

b. [tex] (x - 2) ^{2} - 36[/tex]

d. [tex] (x - 2) ^{2} - 36[/tex]

Step-by-step explanation:

[tex](x + 4)(x - 8) \\ \\ = {x}^{2} - 8x + 4x + 4( - 8) \\ \\ = {x}^{2} - 4x - 32 \\ \\ = {x}^{2} - 4x + 4 - 4 - 32 \\ \\ = {x}^{2} - 4x + {2}^{2} - 36 \\ \\ = (x - 2) ^{2} - 36[/tex]

HELP PLEASE ,DUE TONIGHT

Answers

Answer:

Might be C if im wrong sorry

Step-by-step explanation:

Can someone help me please I will give you Brainly if you get it right

Answers

Answer:

Hi! The answer to your question is A. 4 hours

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

4

Step-by-step explanation:                                    

I got it wrong at first but someone corrected me ;n;

Isaiah started with 421 letters. At each stop he makes, he delivers 29 letters. How many letters are leftover?

Answers

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex]I \: \: Think \: \: The \: \: Answer \: \: Is \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: 392 \: }}}}}}[/tex]

Answer:

2.) Isaiah started with 421 letters. At each stop he makes, he delivers 29 letters. How many letters are leftover? *

Step-by-step explanation:

The data set shows the numbers of miles Ms.Franklin drove on five days. answer choices are in the picture ( please no files or links just the answer)​

Answers

Please include the data set so we can answer to question.

Distribute and combine like terms: 8(1 + 6 p)

Answers

Answer:

8 + 48p

Step-by-step explanation:

Use the information shown in the line plot.
How many fruit baskets weigh more than
4
1
2
412
pounds and less than
6
pounds?


Enter your answer in the box.



_____fruit baskets

Answers

Answer:

8.

Step-by-step explanation:

5 and 5 1/2 are the only fractions between 4 and 6. There are 4 dots above each, and 4 x 2 = 8. (I know the amount of dots because I had this question.)

There are two baskets that weigh more than 4 but less than 6.

The weights of fruit baskets are:

4, 1, 2, 5, 5(1/2), 6

What is weight?

Weight is the quantity of matter in a physical body.

We can see that fruit baskets that weigh more than 4 pounds but less than 6 pounds are ones with weights of 5 pounds and 5(1/2) pounds.

So, there are two baskets that weigh more than 4 but less than 6.

Thus, there are two baskets that weigh more than 4 but less than 6.

To get more about weight visit:

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Freddy pays $840 per year in
insurance.
How much should he budget
monthly for it?
A) $70
B) $92
C) $140
D) $142

Answers

A)70
Because in 1 year we have 12 months so we divide 840 with 12 we get 70

please help if you know the pythagorean thereom

Answers

A squared + b squared= c squared

Answer:

AD= square root of 221

:)

Step-by-step explanation:

(3.15x10^4) (5.15x10^-7 express the result as a decimal

Answers

Answer: 1.62225 x 10^-2 or 0..0162225

Step-by-step explanation:

Choose the equation below that matches the word sentence: "3 increased
by x is 9."
A.3x = 9
B.3/x = 9
C.3 + x = 9
D.3 - x= 9

Answers

Step-by-step explanation:

32 9655 9655 + 965 + 965 + 965 + 982

What is the value of m in the equation 5m = 20.05?



25.05


15.05


4.10


4.01

Answers

divide each side by 5
m = 4.01

the second part is thiss

Answers

Step-by-step explanation:

Question b has already been answered in part one. This is an exponential function.

C) 7 is the initial number of people who received the email;

7*2^n is the number of people who receive the email on day n;

2 is the factor of which the number of people increases each day.

D) On day 5,

[tex] {2}^{5} \times 7 = 32 \times 7 =224[/tex]

people will have received the email.

E) 2; 0 (no people has received the email on day 0). The equation is

[tex]y = {2}^{x} \times 7[/tex]

With x in the natural numbers

Which equation matches this statement?
Finn buys a toy boat for $45.50 including tax. He was charged 7% sales tax on the original price.

HELPPPP PLEASE!!!

Answers

A) x + .07x = 45.50

X is the price of the toy boat, •07x adds the tax for a total paid of $45.50

A tent is in the shape of a triangular prism shown below.



What is the lateral surface area of the prism?

Answers

482939494992934948328292

Please help me❗️❗️
A ball thrown into the air is modeled by the
equation
h(t) = -t2 + 4t + 5. Where h represents
the height of the ball and t represents
time.


What is the starting height of the ball?
What is the time the ball reaches its
maximum height?
What is the maximum height?
When does the ball hit the ground?
How high is the ball 1 second into
flight?

Answers

Answer:

Below in bold.

Step-by-step explanation:

Starting height is when t = 0

It is 5 units.

To find the maximum height we convert the equation to vertex form:

h = -t^2 + 4t + 5

h = -(t^2 - 4t - 5)

=  - [(t - 2)^2 - 9]

= -(t - 2)^2 + 9

From this we see that the ball reaches max height after 2.

Maximum height = -2^2 +  4(2) + 5

= 9 units.

Ball reaches the ground after 2*2 = 4 .

Can someone help me real quick?

Answers

Answer:

2:3

Step-by-step explanation:

You do 8+10 for red and yellow so 12:18 but we need to simplify so 6:9   2:3

2:3 is the correct answer

I really need help with this. Can you help me please?

Answers

Answer:

Solve the equation using the method of completing the square.

Step-by-step explanation:

Sandy plays tennis once every 6 six days. Jim plays once every 8 eight days. If they both played tennis today, in how many days will play on the same day.

Answers

24...

8x3=24

6x4=24

Thats the soonest theyll play together.

Hello, I gotta turn it turn in this question today, help!!!!!!

Answers

Answer:

2 or -2

Step-by-step explanation:

If x² - 8x = -12

Step 1

We find x by solving

x² - 8x = -12

We equate to zero

x² - 8x + 12 = 0

We factorise

x² - 6x - 2x + 12 = 0

x(x - 6) -2(x - 6) = 0

(x - 6) (x - 2) = 0

x - 6 = 0, x = 6

x - 2 = 0, x = 2

x = 6 or 2

Step 2

What is x - 4?

When x = 6

= 6 - 4 = 2

When x = 2

= 2 - 4 = -2

Therefore, x - 4 = 2 or -2

please dont give me a file

Answers

The upper quartile is the right edge of the green box.

This is at 300 minutes.

The answer is 300 minutes.

James bought 3 books for $8 each and 4 DVDs for $15 each he paid with a $100 how much change did he receive?

Answers

Answer:

He received $16 change

Step-by-step explanation:

3 books for $18 is $24

4 DVDs for $15 is $60

His total is $84

$100 - $84 = $16

Answer:

6 dollars

Step-by-step explanation:

you multiply 3 by 8 which is 24. Then you multiply 4 by 15 and that's 70. So then you add 24 and 70 together which is 94. Lastly you subtract 94 from 100 and you get 6.

(y+7) what does that equal

Answers

You don’t know because y isn’t an actually number unless you know what it’s supposed to equal. For example, if y=18, y+7 would be 25 but since you don’t know what y is, it’s undefined.
(y+7) is undefined and cannot rlly be added together since y isn’t really a number. Remove the parenthesis and ur answer is simply : y+7

Ahmad invested in a savings bond for 5 years and was paid simple interest at an annual rate of 2%. The total interest that he earned was $800. How much did he invest?

Answers

25,000 per period, good luck
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