NEED HELP ASAP - 100 POINTS (Algebra 2)
When solving quadratic equations, there are benefits to utilizing one method over the other. In your own words, explain what the advantages may be of using the method of completing the square to solve quadratic equations.

Answers

Answer 1

Answer:

Step-by-step explanation:

Comment

That's an awful lot of points to give away. Ten or 15 should be enough.

Completing the square.

1. First of all you can find the minimum or maximum immediately.

2. Second it cuts out the need to use the givens (a, b, c) in the quadratic formula which can at times be very cumbersome.

3. It gives you the opportunity to estimate the x and y roots without calculating them. Estimating on a test is a very valuable asset.


Related Questions

what’s the answer ???

Answers

Answer:

a=29. b=32 c=30. d=30

Step-by-step explanation:

look at the arrow and get the answer if am wrong let me know

please try to answer quickly my brainly app is crashing

Answers

The formula to calculate the lateral area of a cone is given by

[tex]LA=pi*r*l[/tex]

where

LA=10.5pi in2

r=2.1 in

l=? slant height

substitute given values

[tex]\begin{gathered} 10.5pi=pi*2.1*l \\ solve\text{ for l} \\ l=\frac{10.5pi}{pi*2.1} \\ \\ l=5\text{ in} \end{gathered}[/tex]The answer is 5 inches

There are 3 consecutive integers with a sum of 45. What are the integers?

Answers

The three consecutive integers are 14, 15, and 16.

Assume the three consecutive integers to be x-1, x, and x+1.

Sum of all three = 45.

x-1 + x + x+1 = 45

3x = 45 (-1 and +1 get cancelled)

x = 45/3

x = 15

the first integer is x-1 = 15 - 1 = 14

the second integer is x = 15

the third integer is x+1 = 15 + 1 = 16

So, the three consecutive integers are 14, 15, and 16.

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An eighteen-acre building lot is five times as long as it is wide. What are its dimensions? [Note: 1 acre = 43,560 ft2.]

Answers

The dimensions of building lot are 396 feet width and 1980 feet length.

Let the width of building lot be x. So, the length of the same building lot will be 5x. According to the formula, the area will be length × width.

18 acre = x×5x

Keep the value of acre in the above mentioned relation

18 × 43,560 = 5x²

Performing multiplication on Left Hand Side of the equation

784,080 = 5x²

Performing division by 5

x² = 156,816

Now taking square root to find the value of x

x = ✓156,816

x = 396 ft

Thus, the width of building lot is 396 feet

The length of building lot = 5×396

Performing multiplication

The length of building lot = 1980 feet

Therefore, the length and width of building lot is 1980 feet and 396 feet respectively.

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PLS HELP!!
Answers: 8,20,35,12

Answers

Answer:

the answer is 8.

Step-by-step explanation:

Use the Pythagoras Theorem since it is a triangle.

[tex]a^{2}+b^{2}= c^{2}\\\\a^{2}+15^{2}= 17^{2}\\ a^{2}+225=289\\ a^{2}=289-225\\ a^{2}= 64\\ \sqrt{a}= \sqrt{64}\\ a=8[/tex]

Since you have the hypotenuse and base, just put those into the equation and find the missing side.

Simplify the expression,

Assume all variables are positive.

Answers

Answer:

x²[tex]\sqrt{5}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

given

5[tex]\sqrt{20x^4}[/tex] - 3[tex]\sqrt{45x^4}[/tex]

simplify the 20 and 45 inside the radicals

[tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex] = [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

= 5(2[tex]\sqrt{5}[/tex] x² ) - 3(3[tex]\sqrt{5}[/tex] x² )

= 10[tex]\sqrt{5}[/tex] x² - 9[tex]\sqrt{5}[/tex] x²

= x²[tex]\sqrt{5}[/tex]

under what circumstances can a very small treatment effect still be significant? group of answer choices if the standard error of m (s m) is very large if the sample size (n) is very large all of the other factors are likely to produce a significant result. if the sample standard deviation (s) is very large

Answers

A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

What is the standard error, and sample size?The standard error calculates the discrepancy between a sample's estimate and the actual value for the population. Therefore, the standard error should be smaller the better. In fact, a standard error of zero or extremely close to it would indicate that the projected value and the actual value are identical.Sample size determination is the process of deciding how many observations or replicates to include in a statistical sample. The sample size is an important consideration in any empirical study that aims to infer information about a population from a sample.

Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

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n/−3 +5>4 Solve for this

Answers

Answer:

N<3

Step-by-step explanation:

Function: g(x) = 2x2 – 8

For x ≥ 0, the inverse function is f(x)= √
1
2
x + 4

For x ≤ 0, the inverse function is d(x)= – √
1
2
x + 4

A 3-column table has 3 rows. The first column is labeled x with entries negative 8, 0, 10. The second column is labeled f (x) with entries 0, r, s. The third column is labeled d (x) with entries q, negative 2, t.q =

r =

s =

t =

Answers

The inverse function of g(x) = 2x² - 8 for each case is given as follows:

x ≥ 0: y = √(0.5x + 4).x < 0: y = -√(0.5x + 4).

Inverse function

To find the inverse function, we exchange the variables x and y in the original function, and then isolate the variable y.

The original function in this problem is given as follows:

g(x) = 2x² - 8.

The function is not one-to-one, hence the inverse is different for x ≥ 0 and for x < 0.

Exchanging the variables, we have that:

x = 2y² - 8.

Isolating the variable y, we have that:

2y² = x + 8

y² = 0.5x + 4 (the entire equation was divided by 2 to isolate y)

y = ± sqrt(0.5x + 4).

For non-negative values, the inverse function is:

y = sqrt(0.5x + 4) = √(0.5x + 4).

For negative values, the inverse function is:

y = -sqrt(0.5x + 4) = -√(0.5x + 4).

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Answer: 0,2,3,-3

Step-by-step explanation:

3(5y-7)-2(9y-11)=4(8y-13)-17

Answers

Answer:[tex]3(5y - 7) - 2(9y - 11) = 4(8y - 13) - 17 \\➪ 15y - 21 - 18y + 22 = 32y - 52 - 17 \\ ➪15y - 18y - 32y = - 52 - 17 + 21 - 22\\➪-35y = - 70 \\➪35y = 70 \\ \: (cancel \: \: out \: "-" \: from \: both \: sides) \\ ➪y = \frac{ 70}{35} = 2 \\ \\ [/tex]

Tʜᴀɴᴋs| (• ◡•)|Hᴏᴘᴇ ɪᴛ ʜᴇʟᴘs

y > x-2 3 4 y> -x + 1 Which point is a solution set to the inequalities? b (0,1) (1.0) (-3, 2) (2.-3) d

Answers

[tex]y\ge\frac{1}{3}x-2[/tex][tex]y>\frac{4}{3}x+1[/tex]

Replace each point in both inequalities and see if the inequality remains:

(0,1) = (x,y)

1 ≥ 1/3(0)-2

1≥-2

y>4/3x+1

1>4/3(0)+1

1>1 NOT TRUE.

Point b.

(1,0) = (x,y)

0 ≥ 1/3(1)-2

0≥ 1/3-2

0≥-5/3

0>4/3(1)+1

0>7/3 NOT TRUE

Pint c. (-3,2)

2≥1/3(-3)-2

2≥ -1-2

2≥-3

2>(4/3)-3+1

2>-4+1

2>-3 TRUE

(-3,2) is a solution point to the set of inequalities. (option c)

Which of the contexts below could not be modeled by an exponential function?

A certain population of 16 aggressive zombies quintuples every day.

A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile.

A coin collection appreciates at a rate of 5.2% per year.

A car depreciates at a rate of 4.9% per year.

Answers

The answer choice which could not be modelled by an exponential function among the given answer choices is; A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile.

Which context could not be modelled by an exponential function?

It follows from the task content that the expression which could not be modelled by an exponential expression be identified among the answer choices.

An exponential function is one in which case the change factor is expressed as an exponent of the independent variable.

However, the function described as; A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile is termed a linear model in which case;

The rate of change is constant and is equal to; $4.75 per mile.

Hence the required answer choice which cannot be modelled by an exponential function is; A taxi charges a flat fee of $2.00 for pick-up, then an additional fee of 4.75 per mile.

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HELP MEEE HELP ME HLSP ME

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The inequality for the temperature in the house measured by thermostat is; 24° ≤ t ≤ 26°. The highest temperature is 26° C.

What is defined as the term inequality?In mathematics, an inequality is a relationship representations or values that aren't equal to each other. When two numbers are equal, we use the symbol '=', and if they are not equal, we use the symbol  ≠.

For the given question.

The thermostat at the house is set at 25° C.

Now, there is a deviation of the temperature of 1° C.

Thus,

The lowest temperature measured = 25° C -  1° C =  24° C.

The highest temperature measured = 25° C +  1° C =  26° C.

Let 't' be the temperature of the house.

The inequality will be;

24° ≤ t ≤ 26°

Thus, the maximum value of the temperature will be 26° C.

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9(w + 1) = 99

w =

if you tell me the answer then ur a W

Answers

w = 10.

Step-by-step explanation:

9(w+1) = 99

9w+9 = 99

9w = 99-9

9w = 90

w = 90/9

w = 10.

[tex]{ \boxed{ \red{ \sf{w = 10}}}}[/tex]

Step-by-step explanation:

[tex]{ \purple{ \sf{9(w + 1) = 99}}}[/tex]

[tex]{ \purple{ \sf{9w + 9 = 99}}}[/tex]

[tex]{ \purple{ \sf{9w = 99 - 9}}}[/tex]

[tex]{ \purple{ \sf{9w = 90}}}[/tex]

Divide both the sides by 9 then

[tex]{ \purple{ \sf{ \frac{9w}{9} = \frac{90}{9} }}}[/tex]

[tex]{ \pink{ \boxed{ \blue{ \sf{w = 10}}}}}[/tex]

Mrs. Smith made 4 pizzas .with 11 oz of cheese How much cheese is
each pizza made with ?

Answers

Answer:

2.75

divide 11/4

I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(

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The statement that best describes the total cost of the Screened Loam, Round stone, and Crushed stone is; D: The total cost is greater than $325

How to solve Algebra Word Problems?

We are given the amount of each material required for the Landscaping Project as;

Screened Loam = 3.25 cubic yards

Round stone = 1.5 cubic yards

Crushed stone = 2.5 cubic yards

Likewise we are given the cost of each of these materials per cubic yard as;

Cost of Screened Loam = $26 per cubic yards

Cost of Round stone = $112.5 per cubic yards

Cost of Crushed stone = $37.5 cubic yards

Thus;

Total Cost = (26 * 3.25) + (112.5 * 1.5) + (37.5 * 2.5)

Total Cost = 84.5 + 168.75 + 93.75

Total Cost = $347

Looking at the given options, the most appropriate is option D

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Evaluate g(18), when g(x)=−8x+14

Answers

Answer:

-130

Step-by-step explanation:

g(18)= -8(18)+14

=-144+14

=-130

a textbook store sold 324 a combined total of chemistry and biology textbooks in a week. the number of chemistry textbooks sold was three times the number of biology textbooks sold. how many textbooks of each type were sold?

Answers

Total number of Chemistry textbooks sold is 81 and total number of Biology textbooks sold is 243

How is the number of each textbooks sold, calculated?

Let there are x biology textbooks sold.

No of chemistry textbooks sold = 3 the number of biology textbooks sold

ATQ,

A textbook store sold a combined total of 324 biology and chemistry textbooks in a week.

x + 3x = 324

4x = 324

x = 81

It means there are 81 biology textbooks sold and 3x = 3(81) = 243 chemistry textbooks sold.

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the measure of the angle of a triangle are shown in the figure below. solve for x (8x-18)° 110° 40°

Answers

Answer:

x = 6

Step-by-step explanation:

180 = (8x - 18) + 110 + 40

180 = 8x + 132

48 = 8x

6 = x

If the measure of the angle is needed:

8(6) - 18 = 30

Simplify 5(−4−8w)−3w.

Answers

Answer:

-20-43w

Step-by-step explanation:

5(-4-8w)-3w

-20-40w-3w

-20-43w

suppose you give 10 people a taste test where they each try samples of two different brands of soda. after drinking both samples they tell you which soda they liked best. what is a/the confounding variable in this experiment?

Answers

Confounding variables are any other variable that also has an effect on your dependent variable.

What is a confounding variable?

A confounding variable, also called a confounder or confounding factor, is a third variable in a study examining a potential cause-and-effect relationship.

A confounding variable is related to both the supposed cause and the supposed effect of the study. It can be difficult to separate the true effect of the independent variable from the effect of the confounding variable.

In your research design, it's important to identify potential confounding variables and plan how you will reduce their impact.

For example, if you are researching whether drinking both sample lead to taste test, then drinking both sample  is your independent variable and taste test is your dependent variable. Confounding variables are any other variable that also has an effect on your dependent variable.

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The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X.What is the measure of angle ACB? (6 points)O 29°O 8°O 16°O 21°

Answers

The Solution.

Considering triangle ABC, we have

[tex]\begin{gathered} angle\text{ACB}=180-(90+40+42) \\ =180-172=8^o \end{gathered}[/tex]

Hence, the correct answer is 8 degrees (option B)

Determine which integer will make the inequality 5x + 12 > 2x + 6 false.

S:{−3}
S:{3}
S:{−1}
S:{1}

Answers

Out of the given integer(s), {−3} is the integer which will make the inequality 5x + 12 > 2x + 6 false.

As per the question statement, we are supposed to determine which integer will make the inequality 5x + 12 > 2x + 6 false

Let's solve the inequality for range of x first,

5x + 12 > 2x + 6

5x - 2x > 6 - 12

3x > -6

x > -2

So for all values of x > -2, the inequality 5x + 12 > 2x + 6 is true and for all values of x < -2, the inequality 5x + 12 > 2x + 6 false.

And out of the given options only x = -3 < -2

Hence, we accept {−3} as our required integer.

Inequality: An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

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Answer:

S:{−3}

Step-by-step explanation:

Got it right on a test.

A total of 77 tornadoes have been documented in tuscaloosa county in the period beginning on january 1, 1950 and ending on december 31, 2020. What is the recurrence interval for tornadoes in tuscaloosa county?.

Answers

The Recurrence interval for tornadoes in tuscaloosa county is 0.909

What is recurrence interval ?

The time period in which a new occurrence of something that happened or appeared before : a repeated occurrence or The time frame in which a previously occurring event or appearance first occurs: a recurring occurrence

Given that,

Total number of tornadoes is 77

Total time for Recurrence is 70 years

Using these data,

Recurrence = Total time for recurrence / Total number of tornadoes

Substituting we get,

Recurrence interval = 70/77

= (70/77)

= (0.909)

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i need 2 more please help me

Answers

So the answer for this problem is
A and B and C

help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!

Answers

Answer:

Yes, is a function

Step-by-step explanation:

it does not repeat x's

The employees at a baseball bat factory need to make 350,000 bats in 6 months. They make 2,750 bats each day and work 127 days in the 6 months. Do the employees make enough bats?

Answers

Answer:

75 boxes

Step-by-step explanation:

If you divide 24000 bats by 50 boxes, you get 480. Then, if you divide the 36000 by 480, you will get 75

Question 4(Multiple Choice Worth 1 points)
(03.01 MC)

Simplify square root of three times square root of twenty one.

square root of twenty four
square root of sixty three
three square root of seven
nine square root of seven

Answers

The Simplification of square root of three times square root of twenty one is; C: three square root of seven

How to use law of Exponents?

The Laws of Exponents are;

When multiplying like bases, ensure that the base is kept the same while we add the exponents. When raising a base with a particular power to another specific power, ensure that the base is kept the same and multiply the exponents. When dividing like bases, ensure that the base is kept the same and subtract the denominator exponent from the numerator exponent.

We have the expression;

√3 * √21

= √3 * √3 * √7

= (√3 * √3) * √7

= 3√7

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Use the remainder theorem to find P (3) for P(x) = -x^4+3x^3-2x+3.
Specifically, give the quotient and the remainder for the associated division and the value of P (3).

Answers

The most appropriate choice for remainder theorem will be given by-

Quotient = [tex]-x^3-2[/tex]

Remainder = -3

What is remainder theorem?

When f(x) is divided by (x-a), the remainder will be f(a).

If the remainder is zero, (x-a) will become a factor of f(x)

Expression to be divided is called dividend, expression by which dividend is divided is called divisor, expression obtained on division is called Quotient and the other part is the remainder.

There is also a well known formula

Divisor x Quotient + Remainder = Dividend

Here,

P(x) = [tex]-x^4 +3x^3 -2x+3[/tex]

P(3) =  [tex]-(3)^4+3(3)^3-2(3)+3[/tex]

      = [tex]\\-81+81-6+3[/tex]

      = -3

So by Remainder theorem, remainder is P(3)

So, Remainder = -3

Let the quotient be q(x)

divisor = [tex]x - 3[/tex]

We know,

Divisor x Quotient + Remainder = Dividend

[tex](x-3) \times q(x) +(-3) = -x^4 +3x^3 -2x+3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+3 +3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+6\\q(x) = \frac{-x^4 +3x^3 -2x+6}{x -3}\\q(x) =\frac{ -x^3(x-3)-2(x-3)}{x-3}\\q(x) = \frac{(x-3)(-x^3-2)}{x-3}\\q(x) = -x^3-2[/tex]

So, Quotient = [tex]-x^3-2[/tex]

Remainder = -3

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THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER ONES !!I NEED THIS BY **TODAY**​

Answers

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

The equation of a line is y=mx+c, where m is the slope and c is the y-intercept (where the line crosses the y-axis).

Looking at the graph, we can see that the line crosses the y-axis at y=-3, so we know c= -3.

The slope of a line can be found by taking two points on the line, [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex], and subbing them into the formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. Let's take the two points (2,-2) and (4:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{(-1)-(-2)}{4-2}=\frac{1}{2}[/tex]

Therefore, since the equation of a line is y=mx+c, our answer is [tex]y=\frac{1}{2}x-3[/tex]

Answer:

y=1/2x-3

Step-by-step explanation: given: (0,-3) (2,-2)

y=mx+b

-3=(m*0)+b

-3=b

-2= (m*2)-3

1=2m

m=1/2

y=mx+b

y=1/2x-3

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