4. Solve the quadratic equation x² = 16.​

Answers

Answer 1

[tex]x^2=16\\\sqrt{x^2}=\sqrt{16}\\x=\lm+/-4[/tex]

x = 4, x = -4

Answer 2

hope this helps!

x=4,-4

Related Questions

Brian's final exam in math had two parts. He had a total of 60 minutes to complete the entire exam. He spent 15 minutes on Part 1 of the exam. Write and solve an equation to show how much time he had left to complete Part 2.

m over 15 equals 60; m = 900 minutes
m − 15 = 60; m = 75 minutes
15 + m = 60; m = 45 minutes
15m = 60; m = 4 minutes

Answers

Your answer is 15+m=60; m=45

Answer:

15 + m = 60; m = 45 minutes

Step-by-step explanation:

Hello!

According to the question He had a total of 60 minutes to complete the entire exam. He spent 15 minutes on Part 1 of the exam. how much time he had left to complete Part 2.

Let's make an equation where the time spent on part 1 which is 15 + m which is minutes remaining for part 2 is equal to Total minutes which is 60 minutes

So, if we put it together;

15 + m = 60

So, let's solve for m

15 + m = 60

Substract 15 from both sides

15 - 15 + m= 60 - 15

m = 45

So, the equation is 15 + m = 60 and he had 45 minutes of time remaining to complete part 2.

noah is running a portion of a marathon at a constant speed of 6 miles per hour.

Answers

The miles he ran in 4/3 hours at a constant speed of 6 miles per hour is 8 miles.

What is the average speed?

The average speed is the ratio of total length traveled to total time taken to travel that length. Average speed is the total distance travelled per time.

Average speed = the total distance / total time

Given that Noah's average speed is 6mph

From the above formula, to determine miles run is average speed x time

The Total miles he ran in 1 hour = 6 x 1 = 6 miles

Total miles he ran in 1/2 hours = 6 x 1/2 = 3 miles

Total miles he ran in 1 and 1/3 hours = 6 x 4/3 = 8 miles

The formula for the total time:  total distance / average speed

The Time it took Noah to run 1 and 1/2 miles = 3/2 ÷ 6 = 1/4

Time it took Noah to run 9 miles = 9 ÷ 6 = 1 1/2

Time it took Noah to run 4 and 1/2 miles = 9/2 ÷ 6 = 3/4

The miles he ran in 4/3 hours at a constant speed of 6 miles per hour is 8 miles.

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The complete question is

Noah is running a portion of a marathon at a constant speed of 6 mph. Complete the table to predict how long it would take him to run different distances at that speed and how far he would run in different time intervals.

Time in hours Miles traveled at 6mph

1.

1/2

1 1/3

1 1/2

9

4 1/2

Compute the requested average.

Tim Worker received a statement. It showed 3 payments totaling $158.14.

In dollars and cents, the average payment was $

Answers

The average payment of Tim worker is $52.71   .

The Average of n numbers can be defined as sum of n numbers divided by n .

For Example : Average of 2,4,5,9 is

=(2+4+5+9)/4

=20/4

=5

In the question ,

it is given that

Sum of amount Tim Worker received = $158.14

number of payments received = 3

So the Average payment for Tim worker can be calculated using the formula

Average = (Sum of payment)/(number of payment)

Substituting the values of Sum of payment and number of payment , we get

Average = 158.14/3

= 52.71

The average payment of Tim worker is $52.71   .

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Answer:

$52.71

Hope It Helps. (HIP).

hey can someone help me with this problem? please I’m really stuck :/

Answers

Answer:13x+150<400

Step-by-step explanation:

13(19)+150<400

247+150<400

397<400

Answer:

I think is c but I'm not sure

If D = 1 + 4p – 6p2 and C =1-p, find an expression that equals 2Dstandard form.

Answers

[tex]\begin{gathered} D=1+4p-6p^2 \\ C=1-p \\ \text{FIND 2D-3C} \\ 2D-3C=2(1+4p-6p^2)-3(1-p) \\ 2D-3C=2+8p-12p^2-3+3p \\ 2D-3C=-12p^2+8p+3p+2-3 \\ 2D-3C=-12p^2+11p-1 \end{gathered}[/tex]

Find a formula for the general term a n of the sequence assuming the pattern of the first few terms continues. { 8 , 6 , 4 , 2 , 0 , ... } Assume the first term is a 1

Answers

The general term aₙ of the sequence is aⁿ = 10 - 2n

How to find the general term of a sequence?

The sequence follows a arithmetic patterns.

Therefore, arithmetic pattern is described by the following formula,

aₙ = a + (n - 1)d

where

a = first term of the sequencen = number of termsd = common difference of the sequence

Therefore,

a = 8

d = 6 - 8 = -2

Hence, the general term of the sequence is as follows;

aₙ = 8 + (n - 1)-2

aₙ = 8 + (-2n + 2)

aₙ = 8 - 2n + 2

aⁿ = 10 - 2n

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PLS HELP MEEEEEEEEEEEEEEEEEEEEE PLS I BEG U
how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?

Answers

When the graph of a proportional connection passes through the origin, the ratio in the proportional relationship can be found.

How to illustrate the information?

The connection is proportional if the graph is a line through the origin. This relationship is non-proportional unless the line or ray is non-proportional. K = y/x is the formula for the constant of proportionality. The formula for the slope of a straight line with respect to the origin is the same as this.

If the graph is a line or lines through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it will not be proportional. Also, anything that is not linear is not proportional

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SAT scores are normed so that, in any year, the mean of the verbal or math test score should be 500 and the standard deviation 100. Assuming this is true, answer the following question.



What percentage of students score between 400 and 600 on the verbal SAT? Please round to a whole number.

Answers

The percentage of students that score between 400 and 600 on the verbal SAT is 11%.

How to calculate the percentage?

It should be noted that from the information, SAT scores are normed so that, in any year, the mean of the verbal or math test score should be 500 and the standard deviation is 100.

Therefore, the percentage of students score between 400 and 600 on the verbal SAT will be:

Z = (625 - 500) / 100

Z = 125 / 100

Z = 1.25.

We will then look at the z table. This will be:

P(Z > 1.25) = 0.11

The percentage is 11%.

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Send answers please and thanks. ILL GIVE BRAINLIEST

Answers

a. The approximation of each population written in scientific notation is

China : 1.4 × 10⁹ people

United States : 3.2 × 10⁸ people

b. 1.06 × 10⁹ people live in China than in the United States

Writing Scientific Notation

From the question, we are to write the approximation of each population in scientific notation

From the given information,

China has a population of approximately 1,382,323,332 people

The United States has a population of about 324,118,787 people

Using scientific notation, the population of

China is 1.382323332 × 10⁹

United States is 3.24118787 × 10⁸

Approximately,

China : 1.4 × 10⁹

United States : 3.2 × 10⁸

To determine how many more people live in China than in the United States

1,382,323,332 - 324,118,787

= 1,058,204,545

= 1.058204545 × 10⁹

≈ 1.06 × 10⁹

Hence, the number of people that live in China than in the United States is 1.06 × 10⁹

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What is 321 x 21398?

Answers

The multiplication of the given values of  321 x 21398 is 6868758.

What is multiplication operation?

Multiplication operation can be described as the operation which involves the addition of numbers that are of equal groups which is been performed using the sign *.

When performing a multiplication operation a value will be used to multiply another values, for instance the given question, where  321 was given to multiply 21398,  which can be represented as  (321 x 21398 ) then we now have 6868758 as the result of the multiplication operation.

Therefore, after performing the multiplication operation on the given values the result will be 6868758.

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simplify the expression -1/3x-12+1/2x-2

Answers

Answer:

Step-by-step explanation:

x-84/6

x-84/6 that’s the answer ywwwww

3x - 4y ≥ 12 slope intercept form

Answers

y ≤ 3/4x - 3 is the answer

An individual with $36,000 in taxable
income pays $970 for the 10% tax
bracket, and $3,156 for the 12% bracket.
What is the overall federal income tax
payment for this individual?
A. $32,900
C. $4,126
B. $2,136
D. $3,656

Answers

The federal income tax is levied against the yearly profits of people, companies, and other legal entities. The overall federal income tax payment of this individual will be $4126.

What is federal Income tax?

The federal income tax is levied against the yearly profits of people, companies, and other legal entities. Federal income taxes are due on all compensation, including salaries, monetary gifts from employers, business profits, tips, winnings from gaming, bonuses, and unemployment benefits.

Income taxes are levied by the federal government and the majority of states in the US. Income taxes, which may be incurred as income increases, are produced by applying a tax rate to taxable income, which is the total income less allowable deductions.

The overall federal income tax payment of this individual exists $970 + $3,156 = $4126.

The taxable income of the individual will be $4126.

Therefore, the correct answer is option C. $4,126.

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10.
A container has 20 ½ cups of pancake mix. A serving uses exactly 2½ cups.
Part A
How many full servings are in the container?
Part B
How many cups of pancake mix are left over?
full serving

Answers

8 full servings, 1/2 cup left over

For the soccer team fundraiser, you carn 5 points
for every $3 you raise. If Tyson carned 85 points,
how much money did he raise?

Answers

Answer:

He raised 51 dollars

Step-by-step explanation:

If for every 5 points he raised 3 dollars he would have raised 51 dollars because he had 85 points.

A chicken soup recipe calls for 13 cups of chicken stock. How much is this in quarts?Write your answer as a whole number or a mixed number in the simplest form. Include the correct unit in your answer.

Answers

ANSWER

[tex]3\frac{1}{4}qt[/tex]

EXPLANATION

We want to find how much chicken stock will be needed in quarts.

To convert a value from cups to quarts, we have to divide it by 4.

Therefore, the amount of chicken stock needed, in quarts, is:

[tex]\begin{gathered} \frac{13}{4} \\ \Rightarrow3\frac{1}{4}qt \end{gathered}[/tex]

That is the answer.

D
Let a be a number such that 15 < a < 50, and let b be
a number such that 40 < b < 70. Which of the
following represents all possible values of a - b?
A. -55 < a - b < 10
B. 20 C. -55 < a - b <-20
D. -25 < a - b < 10

Answers

Answer:

A

Step-by-step explanation:

SOMEONE PLEASE HEP. determine if these triangles are similar and choose the correct postulate.

Answers

Answer:

C). Or SAS~with 3/2 proportionate sides.

Step-by-step explanation:

You can tell because the similar angle shows which sides should be proportional to the other on the corresponding triangle, and of those sides, 6/4 = 10.5/7

Easily simplifying to 3/2 both times to find the rate at which the side lengths where changed.

Hope this helps.

The radius of a circle is 36 cm. A second circle has a radius of
6 cm. What is the ratio of the area of the larger circle to the area
of the smaller circle?

Answers

Answer:

36 : 1

Step-by-step explanation:

Hello!

Let's find the area of each circle in it's exact value, and then compare it.

Circle 1A = πr²A = π(36)²A = 1296π

Circle 2A = πr²A = π(6)²A = 36π

Since the values of pi are equal , we can compare the ratio of 1296 and 36.

Compare1296 : 3636:1

The ratio is 36:1.

WHAT IS GCF OF 35 AND 28 TELL ME WITH MULTIPLES

Answers

Answer:

i think it is 7 but not sure

Step-by-step explanation:

GCF of 28 and 35 is the largest possible number that divides 28 and 35 exactly without any remainder. The factors of 28 and 35 are 1, 2, 4, 7, 14, 28 and 1, 5, 7, 35 respectively. There are 3 commonly used methods to find the GCF of 28 and 35 - prime factorization, Euclidean algorithm, and long division.

Describe the transformation of f(x)=x2 represent by g

Answers

G(x) = [tex]x^{2}[/tex] + 4 is the transformation of f(x)=[tex]x^{2}[/tex] represented by g.

The change mentioned comes from f(x)=[tex]x^{2}[/tex], g(x) = x² + 4

The value of h determines the horizontal shift. The formula for the horizontal shift is g(x)=f(x+h). The graph has been moved left by h units.

g(x)=f(x-h)

The graph is moved right by h units.

The graph is not moved left or right in this instance because h=0.

No Horizontal Shift

The value of k determines the vertical shift. The formula for the vertical shift is g(x)=f(x)+k. The graph has been raised k units.

g(x)=f(x)-k The graph is moved k units downward.

Shift vertically up four units.

When g(x)=-f, the graph is mirrored on the x-axis (x)

No reflection on the x-axis

When g(x)=f, the graph is mirrored on the y-axis (x)

No reflection on the y-axis

Depending on the value of a, compressing and expanding.

When an exceeds 1, the line is extended vertically.

In the range 0 to 1, an is vertically compressed.

Vertical Stretch or Compression: None

Compare the transformations and make a list.

No Horizontal Shift

Shift vertically up four units.

No reflection on the x-axis

No reflection on the y-axis

Vertical Stretch or Compression: None

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I went to Old Navy and found a pair of pants on sale for $24. This price was 15% off the original price. What was the original price?

Answers

The answer is 28.23

I NEED HELP ASAP ILL PAY YOU
The translation T₁: (x,y) → (x+7, y - 5) is applied to rectangle JKLM.
Next, the translation T₂: (x,y) → (x − 1, y +9) is applied to the rectangle.
What is the image of L(-9, -9) after the two translations are applied?
-

Answers

If Point L was originally at (-9,-9), it is now at (-3,-5).

Choose a corner point and apply the first translation to it. Draw the rest of the rectangle with the same side lengths. Choose a corner point and apply the second translation to it. Draw the rest of the rectangle with the same side lengths.

See details:

Identify the parent function for the function g (x) = x + 4 based on its function rule. Then graph g and identify the transformation of the parent function that it represents.Linear; translation up 4 unitsConstant; translation up 4 unitsLinear; translation down 4 unitsConstant; translation down 4 units

Answers

Answer:

linear; translation up 4 units

Explanation:

The given function is:

g(x) = x + 4

This is of the form:

y = mx + c

where m is the slope and c is the y-intercept

Therefore, g(x) is a linear function

The parent function is:

g(x) = x

g(x) = x + 4 means that the function is translated up 4 units

Evaluate the expression when x = 6. (- 2 ) * (-3 x )-4x

Answers

The answer is -864.

Add (7x^3-2x^2-5x+6) and (2x^3+3x^2-x-1)

Answers

Answer:

(9x^3+x^2-6x+5) is the answer to algebra equation

Please help me with this question thank you

Answers

As given by the question

There are given that the expression

[tex]22=\frac{a}{5}[/tex]

Now,

Multiply by 5 on both side of the equation

So,

[tex]\begin{gathered} 22=\frac{a}{5} \\ 22\times5=\frac{a}{5}\times5 \\ 22\times5=a \\ 110=a \end{gathered}[/tex]

Hence, the value of a is 110.

please please help me out

Answers

.

[tex]Pr(x)=\sum_{x\mathop{=}0}^nnC_x\times p^x\times q^{n-x}[/tex][tex]x=0,\text{ n=43, p=}\frac{1}{124},\text{ q=1-}\frac{1}{124}=\frac{123}{124}[/tex]

[tex]Pr(x=0)=43C_0\frac{}{}\times(\frac{1}{124})^0\times(\frac{123}{124})^{43}=0.71[/tex]

Question
Consider the function f(x) = 4x² +9 for x ≤ 0.
What is the domain of f-1(x)? Write your answer in interval notation.
Provide your answer below:

Answers

The domain of f⁻¹(x) is (9,∞).

The function we have is

f(x) = 4x² + 9 for x ≤ 0

Now, let us find the inverse of the function f(x),

To find the inverse of f(x),

Replacing f(x) with f(y)

f(y) = 4y² + 9

Now the equation is,

x = 4y² + 9

y² = (x-9)/4

y = √(x-9)/2

The inverse of f(x) is,

f⁻¹(x) = √(x-9)/2

The domain of √(x-9)/2 can be found as,

(x-9)>0

x>9

The domain of f⁻¹(x) is (9,∞).

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find the difference between 289.6 and 99.9​

Answers

Answer:

189.7

Step-by-step explanation:

Hope it helps! =D

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