How is completing the square beneficial ? Edge 2020 key words

Answers

Answer 1
Allows you to factor a function that was previously not able to be factored
Answer 2
Allows you to factor

Related Questions

12 - d > 8. Solving inequalities

Answers

Answer:

d<4  I might not be right but I think this is correct

Step-by-step explanation:

Simplify both sides of the inequality.

−d+12>8

Subtract 12 from both sides.

−d+12−12>8−12

−d>−4

Divide both sides by -1.

[tex]\frac{-d}{-1}[/tex] >[tex]\frac{-4}{-1}[/tex]

d > 4

Write the following in exponential form 10,000x10

Answers

Answer:

1.0 x 10⁵

Step-by-step explanation:

10,000 • 10 = 100,000

= 1.0 x 10⁵

Noah drew 22 hearts and 76 circles. What is the ratio of circle to all shapes

Answers

Answer:3 to 10

Step-by-step explanation:

3/4 and 1/6 find the least common denominator

Answers

The most logical one to me me would be 2 but idk

Answer: 12  is the least common denominator

Step-by-step explanation:

The least common denominator is the greatest multiple that the two denominators share.

So find the multiples of 4 and 6.

LCM of 4.  is 4 ,8 ,12,16,20,24, 28,32,

LCM of 6 is 6,12,18,24,30,36, 42,48  

The first multiple that they share is 12

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$115 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Answer:N/B The amount is in thousands

The total amount earned by a Bachelor's person be $x:

amount earned by a masters person will be $(2x-38)

Total amount earned by the two individuals will be:

x+(2x-38)=115

solving for x we get:

x+2x-38=115

3x=115+38

3x=153

x=153/3

x=51

also:

2x-38=2*51-38=64

therefore we conclude that master's individual earns average of $ 64,000 while the Bachelor's individual earns $51,000.

Step-by-step explanation:plzzzzz give brainleyest

what is 3⁴×3⁵ can anyone help me ​

Answers

Let's look at the multiplication exponent rule.

[tex]x^a*x^b=x^{a+b}[/tex]

Meaning that the exponents will add together when the same base is multiplied.

[tex]3^4*3^5=3^{4+5}=3^9[/tex]

Hope this helps.

頑張って!

Answer:

19683

Step-by-step explanation:

3x3x3x3= 81

3x3x3x3x3=243

81x243=19683


On Monday, the price of gas was $3.50; on Tuesday the price dropped by $0.50;
and on Wednesday, the price increased by $0.65. Write and solve an addition
equation to show the final price of gas.

Answers

$3.50-$0.50+$0.65=$3.65

A quantity P obeys the exponential growth law P(t)=e5t (t in years).
At what time t0 is P=15? Use yr for years. t0=?
At what time t1 is P=20? Use yr for years. t1= ?
What is the doubling time for P? Use yr for years. The doubling time is ?

Answers

Answer:

the time at which P =15 is [tex]{t_o = 0.54161 \ years}[/tex]

the time at which P =20 is [tex]{t_1 = 0.59914 \ years}[/tex]

the doubling time [tex]{t = 0.138629 \ years}[/tex]

Step-by-step explanation:

From the information we are being provided with:

The quantity P i.e [tex]P(t) = e ^{5t}[/tex]

In order to determine the time at which P = 15, we have the following:

[tex]t= t_o[/tex]    when P = 15

∴ [tex]e^{5t_o} = 15[/tex]

[tex]5t_o= In (15)[/tex]

[tex]t_o = \dfrac{1}{5}In 15[/tex]

[tex]t_o = \dfrac{1}{5} \times 2.70805[/tex]

[tex]{t_o = 0.54161 \ years}[/tex]

Hence, the time at which P =15 is [tex]{t_o = 0.54161 \ years}[/tex]

In order to determine the time at which P = 20, we have the following:

[tex]t= t_1[/tex]    when P = 20

∴ [tex]e^{5t_1} = 20[/tex]

[tex]5t_1= In (20)[/tex]

[tex]t_1= \dfrac{1}{5}In (20)[/tex]

[tex]t_1 = \dfrac{1}{5} \times 2.9957[/tex]

[tex]{t_1 = 0.59914 \ years}[/tex]

Hence, the time at which P =20 is [tex]{t_1 = 0.59914 \ years}[/tex]

The doubling time at t = 0, mean P = 2

∴ [tex]e^{5t} = 2[/tex]

[tex]5t= In (2)[/tex]

[tex]t= \dfrac{1}{5}In(2)[/tex]

[tex]t = \dfrac{1}{5} \times0.693147[/tex]

[tex]{t = 0.138629 \ years}[/tex]

Hence, the doubling time [tex]{t = 0.138629 \ years}[/tex]

solve for x
3+x/8=4​

Answers

Answer:

x = 8

Step-by-step explanation:

3+x/8=4

We move all terms to the left:

3+x/8-(4)=0

We add all the numbers together, and all the variables

x/8-1=0

We multiply all the terms by the denominator

 x-1*8=0

We add all the numbers together, and all the variables

x-8=0

We move all terms containing x to the left, all other terms to the right

x=8


Which is the definition of a ray?

a part of a line that has one endpoint and extends indefinitely in one direction
the set of all points in a plane that are a given distance away from a given point
lines that lie in the same plane and do not intersect
a part of a line that has two endpoints

Answers

A Ray is a line that has one endpoint but keeps extending in the opposite direction!!! Hope this helped!

The definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction

A ray is part of a line that has one endpoint and extends indefinitely in one direction and has the folowing properties.

It has one starting point called its endpoint. It does not have height or width but has length. But, its length is not measurable since it extends forever.

So, the definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction.

Learn more about ray here;

https://brainly.com/question/13194809

what is 7) 4x -2(3x + 7)

Answers

4x -2(3x+7)

Use the distributive property:

4x - 6x -14

Combine like terms:

-2x - 14

Water flows through a pipe at a rate of 91 fluid ounces every 2.5 weeks. Express this rate of flow in cups per hour.

Answers

Answer:

[tex]Rate = 0.2167\ fl\ oz/hour[/tex]

Step-by-step explanation:

Given

[tex]Rate = \frac{91\ fl\ oz}{2.5\ weeks}[/tex]

Required

Express the rate as per hour

[tex]Rate = \frac{91\ fl\ oz}{2.5\ weeks}[/tex]

There are 168 hours in  a week;

So, the rate becomes

[tex]Rate = \frac{91\ fl\ oz}{2.5 * 168\ hours}[/tex]

[tex]Rate = \frac{91\ fl\ oz}{420\ hours}[/tex]

[tex]Rate = 0.2167\ fl\ oz/hour[/tex]

Hence;

The equivalent of the given rate is [tex]0.2167\ fl\ oz/hour[/tex]

x2 – 25 = - 4x – 4
Solve the quadratic by factoring

Answers

Answer:

x = -7, +3

Step-by-step explanation:

x² - 25 = -4x - 4

Put it all on one side

x² - 25 + 4x + 4 = 0

Put like terms together

x² + 4x - 21 = 0

Factor

(x + 7)(x - 3) = 0

x + 7 = 0 ⇒ x = -7

x - 3 = 0 ⇒ x = +3

x = -7, +3

The constant rate of change of a line is also called what

Answers

Answer:

The slope of the line.

Step-by-step explanation:

In other words, SLOPE is the VERTICAL change between any two points divided by the HORIZONTAL change in any two points.

Answer

The constant rate of change of a line is also called what

...SLOPE...

Evaluate:

-6+2[6+4(( - 3)^2 – 7)]

Answers

Steps to solve:

-6 + 2[6 + 4((-3)^2 - 7)]

~Solve exponent

-6 + 2[6 + 4(9 - 7)]

~Solve whats in parenthesis

-6 + 2[6 + 4(2)]

~Multiply

-6 + 2[6 + 8]

~Add

-6 + 2[14]

~Multiply

-6 + 28

~Add

22

Best of Luck!

Plot the image of point P under a translation by 3 units to the right and 1 unit up

Answers

Answer:

where is the graph

Step-by-step explanation:

If f(x)= (3x+x)/(x-3) what is f(a+2)

Answers

Answer:

Videos of If F(X)= (3X+X)/(X-3) What is F(A+2)

Step-by-step explanation:

15 POINTS Can someone help me solve this PLEASE

Answers

Answer:

should have dded like variables first

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

3x+2x-6=24

add 3x and 2x this gives 5x

5x-6=24

then add the 6 to 24

5x=30

then divide both sides by 5

then X=6

3. Which point is coplanar with E, F, and H in the diagram below?

Answers

Answer: G

Step-by-step explanation: Points are coplanar if they lie on the same plane.

So, G would be a coplanar point with E, F, and H.

Answer:

G

Step-by-step explanation:

i just took the test and got it right! (:

What is the value of the expression below when z = 4?
10z - 3

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

37

▹ Step-by-Step Explanation

Plug in 4 for z:

10(4) = 40

Subtract:

40 - 3 = 37

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

___ power of 10 gives the answer 1,000,000,000? * 10 9 11 6

Answers

Answer:

9

Step-by-step explanation:

We see that we have 9 zeros.

We use the base 10 system to help us solve.

When we multiply anything by 10, we simply move the decimal place to the right.

Since we have 9 zeros, we move the decimal place 9 places to the right. Therefore, to get 1,000,000,000, we multiply 1 by 10⁹

Zero pairs are two numbers that _____ to get zero. 1. add 2. subtract 3. divide 4. multiply

Answers

Zero pairs are two numbers that add to get zero.

how do u simply 2x+3y=5y​

Answers

Answer:

x=y

Step-by-step explanation:

Collect Like terms from 2x+3y=5y

Like this: 2x=5y-3y (when switching sides, turn positive into negative, negative into positive)

2x=5y-3y

Simplify

2x=2y

Simplify

x=y

2x=5y-3y
2x=2y
x=y

Hope this can help.

find the range 5 15 10 20 15 10 15

Answers

Answer:

15

Step-by-step explanation:

20-5=15

3 out of 30 computers are not working.so what % are working

Answers

Answer:

90%

Step-by-step explanation:

3/30 not working

3/30%=3/30x100

=>10%

% of computers working 100%-10%=90%

16 squared with explanation.

Answers

Answer:

256

Step-by-step explanation:

Multiply 16 by 16.

You bet 256, right?

The answer is 256 now.

Hope it helps!

Formula: multiply number you have x number you have.

College precalc! If you could help me with range, too, that's be great.

Answers

Answer:

All together:

D:(-∞,∞)

R:(-∞,2]

Individually:

D: (-∞,-2], (-2,∞)

R: (-∞,-2], y=2

Step-by-step explanation:

So the way I like to think about Domain and Range is that the Domain is the set of real numbers which can be put into a function and the Range is the set of real numbers which you can get out from a function.

Looking at your given function, it looks like the piece-wise parts are f(x)=x and f(x)=2. Neither one of the functions has domain restrictions (you can plug anything into the first and second without getting any mathematical errors [like a 0 in the denominator]). And since the graph shows arrows in each end, indicating infinite continuation of the curve, the Domain is (-∞,∞).

Now for the outputs of each function, we can see that you'll be getting any number out for the f(x)=x portion. But, the f(x)=2 portion will always give you 2 for any input. So the Range is (-∞,2).

Now I'm honestly not too sure what the HW is asking you to do with this info... for the first part, maybe they want the individual domain and range values for each piece of the piece-wise while the second part asks for the overall? You might know what it's asking better then me since it's your class.

I'll include the overall and individual answers above. Comment with any questions.

Evaluate 6•(4+)^2-3^2

Answers

Answer:

87

Step by step explanation:

(6)(16) - [tex]3^{2}[/tex]

96 - [tex]3^{2}[/tex]

96 - 9

87

1.how do you perceive mathematics as a subject? Explain Your answer

2. What is the significance of mathematics in your life and as a student?

Answers

Answer:

The students perceived various qualities of the mathematics learning that were enabled by the use of mobile phones: (1) exploring mathematics independently (2) learning mathematics through collaboration and team work; where the collaboration is on equal terms (3) learning mathematics in a societal and humanistic environment (4) learning mathematics in authentic real life situations (5) visualizing mathematics and investigating it dynamically (6) carrying out diversified mathematical actions using new and advanced technologies (7) learning mathematics easily and efficiently. In the overall, the students were positively impressed by the potentialities and capabilities of the mobile phones used in the mathematics learning process. This indicates that mathematics education could benefit form utilizing these new technological tools.Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.

Find the sum 32 +33 +34 + 35 + ... + 112 + 113.

Answers

Answer:

5945

Step-by-step explanation:

The sum for an arithmetic series is given by the formula:

[tex]S=(x_1+x_k)\cdot\frac{k}{2}[/tex]

Where x₁ is the initial term, x_k is the last term, and k is the number of elements in the series.

From the sequence, we can see that the first term is 32. The last term is 113.

To determine how many elements we have, subtract 113 and 32:

[tex]113-32=81[/tex]

However, we must add 1 to this number since this doesn't include the first term. Thus:

[tex]81+1=82[/tex]

So, there are 82 terms in total.

Therefore, our sum is:

[tex]S=(32+113)\cdot\frac{82}{2}[/tex]

[tex]S=(145)\cdot 41=5945[/tex]

Answer:

5945

Step-by-step explanation:

an = a1 + ( n - 1) 1

a1 = first term

n = number of terms

an = last term

113 = 32 + ( n - 1 ) 1

113 = 32 + n -1

113 = 31 + n

n = 113 - 31

n = 82.

Sn = n/2(a1 + an)

S82 = 82/2 (32 + 113)

S82 = 41 (145)

S82 = 5945.

Other Questions
At a picnic there are 7 pieces of fruit for every 4 vegetables. If there are 28 pieces of fruit, how many vegetables are there? an area with similar geographic characters Last year, J&H Corp. reported a book value of exist700 million in current assets, of which 15% is cash, 17% is short-term Investments, and the rest is accounts receivable and inventory. The company reported exist595.0 million of current liabilities including accounts payable and accruals. Interestingly, the company had no notes payable Claims last year. There were no changes in the accounts payables during the reporting period. The company, however, invested heavily in plant and equipment to support its operations. It reported a book value of exist1, 120 million in long-term assets last year. Based on the information given to Jeffrey, he submits a report on January 1 with some important calculations for management to use, both for analysis and to devise an action plan. Which of the following statements in his report are true? Check all that apply. a) J&H Corp.'s total net operating capital consists of its net operating working capital and total investment in long-term assets. b) The company has no notes payable reported in its balance sheet, so all its current liabilities are its operating liabilities. c) Based on the information on industry averages, J&H Corp. would generate higher profits than the other players in the industry if all players had no debt or held no financial assets. d) The company is using -exist14.0 million in net operating working capital acquired by investor-supplied funds. e) Based on the information on industry averages, other players in the industry would generate higher profits than J&H Corp. if they had no debt and held no financial assets. 1/2 - 1/5I dont know how to do these problems HELP ASAP I ONLY HAVE 25 MINS TO FINISH _____is an example of rule of man A. a king who follows the law outlined in a constitution B. A king making laws for his citizens to follow c. All people following a set of written laws D. A king an his citizens working together to make rules that all people in the country will follow NEED ASAPChange the percent to a decimal.0.4% =A 0.004B 0.4C 4.0D 0.04 What is the purpose of evidence in an op-ed? restating a writer's position developing a tone of authority anticipating an opposing view making a connection to the audience Help i dont understand pls help :( The perimeter of the tennis court is 228 feet. What are the dimensions of the court? Write the equation for the situation: What is the width of the court? What is the length of the court? Fill in the blank with the verb that best completes the sentence Yo hablo espaol no hablo ingls. A. por tanto B. ni C. pero D. o Which of the following are acceptable weights? 13.5 oz 13.8 oz 14.15 oz 14.2 oz 14.3 oz At a convention there are 7 math instructors, 5 computer science instructors, 3 statistics instructors and 4 science instructors. If an instructor is selected at random, find the probability of selecting a math or science instructor. (Write your answer as a decimal, rounded to the nearest hundredth.) Chemical substances from food the body needs to live. 21+6x; x= -2 evaluate 3. Simplify. *5m3 + 2m 7m3 8m What is the area of the square of the leg 6 The middle value of the data set is f(x) = (2x + 1)(x - 2)(x + 3) Scientific laws and theories are both based on observations and evidence how are they different? describe the relaationship between two place value positions