Solve the quadratic function by completing the square. what are the missing pieces in the steps? –32 = 2(x2 10x) –32 = 2(x2 10x 25) 18 = 2(x 5)2 9 = (x 5)2 ± = x 5 x = –2 or x =

Answers

Answer 1

An equation is formed of two equal expressions. The missing pieces of the solution of the quadratic equation are 50, 3, and -8.

What is an equation?

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

To fill the missing piece of the solution of the quadratic equation, you need to balance each of the equations. Therefore, the solution to the problem can be written as,

[tex]-32 = 2(x^2 + 10x)\\\\-32 + 50 = 2(x^2 + 10x + 25)\\\\18 = 2(x + 5)^2\\\\9 = (x + 5)2\\\\\pm 3= x + 5\\\\x = -2\ \ {\rm or}\ \ x = -8[/tex]

Thus, the solution of the quadratic equation is -2 or -8.

Hence, the missing pieces of the solution of the quadratic equation are 50, 3, and -8.

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Related Questions

A correlation coefficient is a numerical index that reflects the relationship between ______ . a. three variables b. one variable c. one variable and two variables d. two variables

Answers

A correlation coefficient is a numerical index that reflects the relationship between two variables.

What is the correlation coefficient?

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at all, therefore, an independent variable.

The given blank in the sentence can be filled with two variables.

Hence, A correlation coefficient is a numerical index that reflects the relationship between two variables.

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pls help me and if you dont know the answer dont answer this ​

Answers

Answer:

A no. is correct

Step-by-step explanation:

Hope it will help you..

plese huryyyyyyyyyyyy!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Formulas to keep in mind

Volume (cone) = 1/3πr²hVolume (sphere) = 4/3πr³

Solving

It's given in the question that the volumes are equal and height of the cone is 96 unitsEquate the volumes and substitute the value of h

⇒ 1/3πr₁²h = 4/3πr₂³

⇒ r₁² x 96 = 4 x r₂³

⇒ r₂³ / r₁² = 24

⇒ r₂ (Radius of sphere) = 2.88 units

⇒ r₁ (Radius of cone) = 1 unit

A veterinary office pays PupFood $32. 75 for each bag of dog food. If the office spent $655, how many bags of food did they purchase? (Use only a number for your answer)

Answers

Answer:

20 Bags

Step-by-step explanation

The total costs would be given by the formula:

Total $ = (Bags of Food)*(Cost/bag)

We know total cost and price per bag:

$655 = (Bags of Food)*($32.75/bag)

Bags of Food = ($655/$32.75)

Bags of Food = 20 Bags

PLEASE HELP!!
For systems of inequalities, graph each system on a coordinate plane to show the solution region. Next, use the graph to answer the question. Be sure to define your variables and show all of your work.

Q.1. One type of trail mix is 20% walnuts. Another type is 35% walnuts. How much of each type should be combined to form a 12-pound mix that is 30% walnuts?

Answers

Answer:

answer is 75

Step-by-step explanation:

you need to add all of them then take away 12 then you get your answer.

-2x+2y=-2
3x+2y=8
solve the system of equations

Answers

Answer:

The answer to the first equation is x=y+1

The answer to the second equation is x= -2/3 y+8/3

Step-by-step explanation:

Equation Solver

What do you want to calculate?

Solve for Variable

Graph

Solve for:

x

Let's solve for x.

−2x+2y=−2

Step 1: Add -2y to both sides.

−2x+2y+−2y=−2+−2y

−2x=−2y−2

Step 2: Divide both sides by -2.

−2x

−2

=

−2y−2

−2

x=y+1

Answer:

x=y+1

2. Let's solve for x.

3x+2y=8

Step 1: Add -2y to both sides.

3x+2y+−2y=8+−2y

3x=−2y+8

Step 2: Divide both sides by 3.

3x/3=-2y+8/3

x=-2/3 y+8/3

Answer:

x= -2/3 y+8/3

[tex]\large\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

By Substitution method

⇒Eq.1

-2x+2y=-2y = -2 +2x

Soo value of y => y = 2x-2

↪ Substituting y= 2x-2 in ( 3x+2y = 8)

3x+2(2x-2)=83x+4x-4=8 (solving like terms)6x=12[tex]x = \cancel \frac{12}{6} [/tex]x = 2

↪ Substituting x = 2 in eq 1 to get y

-2x+2y=-2-2(2)+2y=-2-4+2y=-2(solving like terms)2y= -2+42y= 2[tex]y = \cancel\frac{2}{2} [/tex]y=1

↪ hence, (2,1) is the solution ~

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

What is the length of the altitude of the equilateral triangle below?
"
81330
813
60° 90°
60"

Answers

Answer:

F. 12

Step-by-step explanation:

There are two right triangles.

Hence, we can solve for the missing side using the Pythagorean Theorem using one of these triangles.

Let's take the left one.

a² = (8√3)² - (4√3)²a² = 192 - 48a = √144 a = 12

The length of the altitude is 12.

The correct option is : F. 12

The length of an altitude is 12 units.

The correct option is 12.

What is Pythagoras' theorem?

Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.

As per the information provided, it is given that the triangle is an equilateral triangle.

The side of the triangle is 8√3 units.

To find the length of the altitude of the equilateral triangle:

Let the length of altitude is h units.

Then, as per Pythagoras' theorem,

h² =  (8√3)²- (4√3)²

h² = -16(3) + 64(3)

h = -48 + 192

h² = 144

h = 12

Therefore, h = 12 units.

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There are 5 red, 18 green, and 17 blue pens in a bag. Leah selects a pen 800 1

times without looking. Before each selection, she replaces the pen in the

bag. Write and evaluate an expression to predict the number of times Leah

selects a pen that is red or green. *

Answers

The number of times Leah is expected to select a pen that is red or green is 460 and the expression is 23/40 * 800

How to determine the expected selection of red or green pen?

The distribution of the pen is given as:

Red = 5

Green = 18

Blue = 17

The number of red or green pen is:

Red or green = 5 + 18

Evaluate

Red or green = 23

In a selection of 800 pen, the expected number of red or green pen is:

E(x) = 23/(5 + 18 + 17) * 800

Evaluate the sum

E(x) = 23/40 * 800

Evaluate the expression

E(x) = 460

Hence, the number of times Leah is expected to select a pen that is red or green is 460

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om was in a contest at the library to read as many book as wiree months. At the end of the content he camerkets for the he read. The table below shows on tumber of cok read canh *** BOOKS SAM READ Month January February March Number of Books 15 13 16 Mam was able to buy a prize for every 5 tickets he had earned. Sam bought as many prizes as he could with his tickets? How many prizes was sam able to buy 2 Show your work and explain your answer.​

Answers

The number of prizes that Sam was able to buy based in the division illustrated is 17 prizes.

How to calculate the prize?

The total number of books that was read will be:

= 15 + 13 + 16

= 44 books

Since he earned 2 tickets for each bok read, the number of tickets gotten will be:

= 2 × 44

= 88

Finally, Sam was able to buy a prize for every 5 tickets he earned. Therefore, the number of prizes will be:

= 88/5

= 17 tickets

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pleaseeeeeee helppppppp meeeeeeeeeeeeeeeee​

Answers

Answer:

60%

Step-by-step explanation:

lets assume that the weight of K's bag is 100 just to make it easier.

K's bag=100

M's bag=120

D's bag=75

to find the percentage of M's bag over D's we divide D's over M's

75/120= 62.5%

Then round down to the nearest tens

62.5=60

LOOK AT IMAGE FOR MORE INFO

I NEED THIS ASAP! I WILL GIVE BRAINLEST, 5 STARS, AND LOTS OF POINTS IF U ANSWER CORRECTLY THANKS.

Answers

Answer:

This is an obtuse scaline triangle.

Step-by-step explanation:

Hope I Helped!!

At a high school, the probability that a student is a senior is 0.25. The
probability that a student plays a
sport is 0.20. The probability that a student
is a senior and plays a sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.08
O B. 0.32
• C. 0.17
D. 0.25

Answers

Answer:

B. 0.32

I guessed and it was right

The probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.

The correct answer is B. 0.32.

To find the probability that a randomly selected student plays a sport, given that the student is a senior, we can use the formula for conditional probability:

P(plays a sport | senior) = P(plays a sport and senior) / P(senior)

Given that P(plays a sport and senior) = 0.08

and P(senior) = 0.25,

we can substitute these values into the formula:

P(plays a sport | senior) = 0.08 / 0.25

P(plays a sport | senior) = 0.32

Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.

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PLEASE HELP 75 POINTS

Answers

Answer:

Top of one step: 2.5 ft

Front of one step: 1.25 ft

One side of stairs: 5 ft

Total surface area: 25 ft

(1) Angle 1 and angle ____ are supplementary angles.
(2) Angle 8 and angle ____ are corresponding angles.
(3) Angle 6 and angle ____ are vertical angles.

Answers

Answer:

Step-by-step explanation:

8) angle 2 (or angle 3)

9) angle 4

10) angle 5

Answer:

(1) Angle 1 and angle __2__ are supplementary angles.

(2) Angle 8 and angle __4__ are corresponding angles.

(3) Angle 6 and angle __7__ are vertical angles.

Mark me brainliest please

Help please


Number 4

Answers

Answer:

you need to enlarge the picture so I can see it

Step-by-step explanation:

Then I'll edit my answer and do the problem.

PLEASE HELP URGENT

Given \tan \theta =0.6, find the value of b

Answers

[tex] \tan(theta ) = \frac{5.3}{b} \\ [/tex]

[tex]0.6 = \frac{5.3}{b} \\ [/tex]

[tex]b = \frac{5.3}{0.6} \\ [/tex]

[tex]b = 8.83 \: \: cm[/tex]

Give the equation for the piece wise function. WILL GIVE BRAINLIEST IF GIVEN A ANSWER

Answers

Answer:

This is not a function

Step-by-step explanation:

take your pencil, place it vertically. If it lines up with two coordinates on top of eachother, it is not a function.

help me now !!!

-11=t-5
help me

Answers

Answer:

[tex]\huge\boxed{\bf\:-6 = t}[/tex]

Step-by-step explanation:

[tex]-11 = t - 5[/tex]

Bring - 5 to the right hand side of the equation.

[tex]-11 = t - 5\\-11 + 5 = t\\\boxed{\bf\:-6 = t}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Hii student!

-- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- -- -- -- -- - -- - -- -- -- --

[tex]\ddagger\leadsto\mid\boldsymbol{Answer.}\mid\gets\ddagger[/tex]

 The value of t = -6

-- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- -

[tex]\ddagger\leadsto\mid\boldsymbol{explanation!}\mid\gets\ddagger[/tex]

We have the equation [tex]\sf -11=t-5}[/tex]. And what we need to do is solve for the variable, t.

                                           

To solve for the variable, we should ensure that the variable we need to solve for is all by itself on one side of the equation.

T is not all by itself, [tex]\because[/tex] 5 is subtracted from it.

So what do we do to "remove" that 5 from there? Wouldn't it be great if there was a zero instead of the -5?

We can make that happen by adding 5 to both sides.

We add 5.

[tex]\sf -11=t-5+5}\\-11=t+0}\\-11=t[/tex]

[tex]\bullet[/tex] However, we also need to add 5 to the other side.

[tex]\sf -11+5=t}[/tex]

Simplify!

[tex]\sf -6=t}[/tex]

NOW the variable, t, is all by itself.

                                     

Tip: Why not check your work and make sure there are no mistakes?

We can proof-read, but we can also do this:

Plug in the solution (t=-6) into the original equation.

[tex]\sf -11=-6-5}[/tex]. Upon simplification, we obtain

[tex]\sf -11=-11[/tex]

Since both sides (the left hand side, l.h.s. and  the right hand side, r.h.s. are the same, our solution, t=-6, is correct. Great job!

--

Hope that this helped! Best wishes,

[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]

[tex]\boldsymbol{-Greetings!-}[/tex]

--

a system of equations is shown. 4x-y=5 y=-3 what is the value of x in the solution to this system

Answers

Answer:

x = 1 / 2 ( or ) 0.5

Step-by-step explanation:

4x - y = 5

Substitute the value of y = - 3 in the given equation,

4x - ( - 3 ) = 5

4x + 3 = 5

4x = 5 - 3

4x = 2

x = 2 / 4

x = 1 / 2 ( in terms of fraction )

                  ( or )

x = 0.5 ( in terms of decimal )

Note : -

- ( - 3 ) can be written as - 1 x ( - 3 ).

When a negative number is multiplied with another negative number, the result will be positive number.

Hence,

- ( - 3 ) = + 3

Select the expression that has a value of 23.
Question 5 options:

6 + (9 x 3) ÷ 3 + 8

(6 + 9) + 3 ÷ 3 + 8

6 + 9 x 3 ÷ (3 + 8)

(6 x 9 x 3) ÷ 3 + 8

Answers

Follow PEMDAS

You do stuff in order of parenthesis first, then exponents, then multiply or divide (reading left to right order), then add or subtract (left to right order)

So first answer is correct.

First do 9*3 =27 (parenthesis)
Second do 27/3= 9 (divide)
Third do 6+9+8 = 23 (addition)

a cube numbered 1-6 is rolled 30 times and lands on an even number 18 times how does the frequency based on the probability of the number cube landing on an even number

Answers

A cube has 6 sides labeled 1-6. There are 3 even numbers and 3 odd numbers therefore making the probability of both 50%. The probability of the cube landing on an even is 50% chance.

It's #1 pls help me with this thank u

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

1). Slopes of ║ lines are equal.

2). Equation of the line passing through the point ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) is

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~~

y = [tex]\frac{1}{2}[/tex] x - 10 , slope m = [tex]\frac{1}{2}[/tex]

( 2 , 5 )

y - 5 = [tex]\frac{1}{2}[/tex] ( x - 2 )

y = [tex]\frac{1}{2}[/tex] x - 1 + 5

y = [tex]\frac{1}{2}[/tex] x + 4

#1

y=1/2x-10

Comapre to slope intercept form

Slope=m=1/2

Parallel lines have equal slope

Equation of parallel line in point slope form

y-5=1/2(x-2)2y-10=x-22y=x+8y=1/2x+4

If number of electricity power failures occur according to a Poisson distribution with an average of 4 failures per 5 months. 12. What is the probability that there will be at least one failure during the coming month

Answers

Answer:

123

Step-by-step explanation:

–(9y – 1) answer to problem

Answers

Given ques:-

–(9y – 1) solve?

Answer:-

-(9y-1) here ( - ) minus is distributed to 9y nd -1

which gives,

-9y+1

Hope it help ~

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Determine if you can make a triangle from the 3 given side lengths.
3 cm, 16 cm, and 8 cm

Answers

Check the picture below.

we have three sides, let's look at the two smaller sides first.

check picture atop

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 5.

check picture below

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 11.

well, needless to say, the 16 cm side, is outside that range, so, hmmm no dice.

In a right triangle, angle φ has a tangent value 1.40. The side adjacent to angle φ has a length of 9.0 inches. What is the length of the side opposite angle φ?
54.4 inches
12.6 inches
9.1 inches
6.4 inches

Answers

Answer:

option 2 12.6 inches

Step-by-step explanation:

the answer is 12.6 inches

Answer:

2 12.6 inches

Step-by-step explanation:

have a great day!

how do i do dis i need help i get it i just cant get the right answer i need super nanny

Answers

Answer:

The answer of point 4 is:

[tex]distance = \sqrt{ {4}^{2} + {11}^{2} } \ = (11.70469991072)[/tex]

A rectangle with a perimeter of 18 miles and a width of 7 miles.
What is the length of the rectangle?

Answers

Answer:

2 miles

Step-by-step explanation:

A rectangle has two widths

7 + 7 = 14

18-14=4

It also has two lengths

4/2=2

2 miles

Hope this Helps

Happy Earth day

Answer:

2 miles

Step-by-step explanation:

Perimeter is figured out by adding all 4 sides of a rectangle.

So if the width is 7 miles on 1 side, the other width side is also 7 miles.

If the perimeter was 18 miles and 14 miles of that was the width on both sides, that leaves only 4 miles left for the 2 length sides.  That means each length side is 2 miles.

Please help asap tysmm



Use an equation to find the value of each indicated variable.
show your work and show how you found your answer.

Answers

Answer:

[tex]y = 36 \\ z = 54[/tex]

Step-by-step explanation:

[tex]3y + 2y = 180 \\ 5y = 180 \\ y = 36[/tex]

[tex]y + z + 90 = 180 \\ y + z = 90 \\ 36 + z = 90 \\ z = 90 - 36 \\ z = 54[/tex]

Choose the logarithmic form of the exponential equation 3^7 = (4x+3).​

Answers

Answer:

546

Step-by-step explanation:

4x3^7=2187

so now its

2187=4x+3

subtract 3 from both sides

now its

2184=4x

divide both sides by 4

546=x

Other Questions
6 more than x is less than 4 Find the least common denominator (LCD) 8/9 and 4/5 Using the net below, find the surface areaof the pyramid.9\cm13 cmm 3 cm.Surface Area =[?] cm2 Multiply.12x^4 (-5/6x^3y^2) Please help i will give brainliest which even most likely would accuse in a story set in the mountains Shawheen puts the cost of a weekend trip 1)A sample of red blood cells are placed in an isotonic solution and viewed under a microscope. Then, sugar is added to the solution to create a hypertonic solution. The sample is then looked at under a microscope again. what happened to the red blood cells after the sugar was added to the solution?A- The red blood cells released water through osmosis. The release of water helped the blood cells take in more sugar for energy.B- The red blood cells absorbed water through osmosis. The absorption of water helped the blood cells take in more sugar for energy.C- The red blood cells released water through osmosis. The release of water helped the blood cells keep a similar concentration of solutes as the outside solution.D- the red blood cells absorbed water through osmosis. the absorption of water helped the blood cells keep a similar concentration of solutes as the outside solution.2)Which of the following is an example of microevolution?A- the formation of four new species of fish in a lake over thousands of years.B- a mass extinction that occurs because of major environmental changes in a habitatC- a change in the frequency of body color in a species of beetlesover timeD- the formation of two new species of rodent have been isolated by a mountain range3) a species of dark green trees is spread over a very large terrain. over a long period of time, mountains form in this area and the trees became split by the new formation. later, the trees on the east side of the mountain are all light green.Over time, the light green and dark green trees spread to a new field that is not separated by the mountains. both types of trees are seen in the same field. however, the trees cannot produce any fertile offspring together. which of the following provides the best explanation as to why the two populations of trees cannot produce fertile offspring?A- the trees on the west side of the mountain retained their original phenotype that became unique to their population B- the trees on the east side of the mountain developed a new phenotype, which made them unable to produce fertile offspring.C- the trees on the east side of the mountain experienced many genetic mutations and recombinations unique to their population D- the trees on the west side of the mountain could not adapt to the new barrier, which made them unable to produce fertile offspring. Need Help Immediately. Brainly will be given to the best response! is 11/2 greater, less or equal to 6/1 How many countries are in the united nations today?. Solve for x: 3(x + 1) = 2(x - 1)0-5Whats the answer? HELP QUICK PLS ! A circle with radius of 2 cm sits inside a 7 cm x 11 cm rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth. 7 cm 2 cm 11 cm I need help! what is this equation in factored form and how do you solve it using the X-method (or really any other method?)y = -3x^2 - x + 2 NEED HELP ASAP!! THANKS! (will mark brainliest)Newspaper has a Specific Heat Capacity of 1.336 J/goC. How many Joules does a 115g sample of newspaper absorb when it changes temperature from 25oC to 31oC? One of the legs of a right triangle measures 5 cm and the other leg measures 17 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth. what is the diameter of a sphere with a volume of 6329 ft^3 to the nearest tenth of a foot The average height of sunflowers in a field is 64 in 1. How have characters in dystopian novels changed from the early 2000s to now?2. What role does the government play in dystopian novels?3. Why are dystopian novels appealing to most teens? 11 The two trapezoids shown below aresimilar.6 cm120T12010 cm60W806016 cmWhat is the length in centimeters of WT?A 10 cmB 3.8 cmC 12 cmD 9.6 cm