what equation results from completing the square and then factoring.

What Equation Results From Completing The Square And Then Factoring.

Answers

Answer 1
The answer is D (x+11)^2=152

Related Questions

which is a ABBC pattern?

Answers

The third choice down is an ABBC pattern. 

Answer:

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Step-by-step explanation:

A small Learning Center holds 24 less students than the larger Learning Center. Together the learning centers hold seventy-two students. How many students does each Learning Center hold?

Answers

s=small
L=Large


72=(L-24)+s
48=L+s
By this point, the “-24” no longer affects the equation. L=s for the purpose of division.
48/2
24=s
Now we know s=24.
The “-24” is now important in finding the value of L. We find the inverse of “-24”, +24.
s+24=48


s= 24 students
L= 48 students
Final answer:

The larger Learning Center can hold 48 students and the smaller Learning Center can hold 24 students.

Explanation:

The key to solving this problem is to first express it as two linear equations. Let's denote the number of students the small Learning Center holds as S and the number of students the larger Learning Center holds as L.

The problem provides us with two facts:

The small Learning Center holds 24 less students than the larger one, we can express this as: S = L - 24.Together, both Learning Centers hold seventy-two students, so we can express this as: S + L = 72.

Now, we can solve these two equations simultaneously.

Substitute S from the first equation into the second: (L - 24) + L = 72, simplify to: 2L = 96

Thus, L = 48. This means the larger Learning Center can hold 48 students. Substitute L=48 into our first equation to find S: S = 48 - 24 = 24. So, the small Learning Center can hold 24 students.

Learn more about Linear Equations here:

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Plzz help me

Match the system of the equation to the number of solutions.

y = 5
2x - 2/3y = 10


1. No solutions
2. One solution
3. Infinite solutions

Answers

One solution. 

They have different slopes and therefore must have one solution.

Which system of equation can represent the equation?

Answers

According to the logarithmic property of the base change, the corrected answer is option one or the first.
 The logarithmic property of base change given that
 logx (b) = logc (b) / logc (x)
 Therefore, the same property applies to this problem and the correct expression for this question is:
 y1 = log (x + 3) / log 4
 y2 = log (2 + x) / log2

a window cleaner charges a call out fee of £3 plus 25p per square metre of glass cleaned. a front window in a butcher's shop measures 3.5 m by 6 m. how much does it cost to get 2 of these windows cleaned?

Answers

Pretty sure it's £16.50

how do i solve 3 (2y-4)=8y+9-9y

Answers

3(2y - 4) = 8y + 9 - 9y

Distribute 3:
6y - 12 = 8y + 9 - 9y

Combine like terms:
6y - 12 = -y + 9

Add y to both sides:
7y - 12 = 9 

Add 12 to both sides:
7y = 21

Divide both sides by 3:
y = 3
The first step for solving this equation is to distribute 3 through the parenthesis.
6y - 12 = 8y + 9 - 9y
Collect the like terms with y.
6y - 12 = -y + 9
Move the variable to the left side and then change its sign.
6y + y - 12 = 9
Now move the constant to the right side and change its sign.
6y + y = 9 + 12
Add the terms on the left side of the equation.
7y = 9 + 12
Add the numbers on the right side.
7y = 21
Lastly,, divide both sides of the equation by 7 to find your final answer.
y = 3
This means that y = 3 is the correct answer to your question.
Let me know if you have any further questions.
:)

Which of the following is a statistical question?

A.
How much money is in Althea's pocket?
B.
How tall is the tallest building in the United States?
C.
What is the temperature in the refrigerator?
D.
What were the grades on the history final exam?

Answers

I think D because you can get a lot of different answers and that's what a statistical question is.
The answer is D. What were the grades on the history final exam because it requires collecting data. A statistical question is a question that requires the collection of data to answer.

which expression is equivalent 121x^2-64y^2 ?

Answers

Would this be the correct answer? If not, can you further explain the question?(11x+8y)(11x-8y) 

A motorboat covers the distance from one pier to the other pier in 4 hours and the way back in 5 hours. What is the speed of the boat in still water, if it covers 70 km with the current in 3.5 hours?
(its not 20 i tried)

Answers

r = speed in still water
r + c = speed with current
r - c = speed against current

3.5(r + c) = 70
r + c = 20
c = 20 - r

4(r + c) = distance from pier to pier
5(r - c) = distance from pier to pier
4(r + c) = 5(r - c)
4(r + 20 - r) = 5(r - 20 + r)
80 = 10r - 100
180 = 10r
18 = r
The speed in still water is 18 km/hour

What is the slope of this line?

Answers

I started at (-2, 0) but you can start at any point on the graph that goes through the corner of the square (if that makes sense) like a point on the graph. From one point to the next, you go down one and one to the right, therefore the slope is a -1

Of the 3,558 people impaired drivers killed in 2009 (not counting the drivers themselves) death were preventable

Answers

Final answer:

The preventable nature of deaths caused by impaired driving, emphasizing the impact of alcohol and other risky behaviors on driving safety.

Explanation:

Each day in the United States, over 8 people are killed and 1,161 injured in crashes reported to involve a distracted driver, highlighting a significant public health concern. There is a noted problem with young drivers getting into serious automobile accidents, contributing to many preventable deaths.

It has been estimated that 35 percent of all U.S. early deaths in 2000 could have been avoided by changing just three behaviors, with alcohol being a significant contributing factor to risky behavior on the roads.

In 2014, alcohol-impaired driving fatalities accounted for 9,967 deaths, which is 31% of overall driving fatalities, underscoring the critical need for improved driving safety measures and individual behavior changes to reduce these numbers.

PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!!
Mr. McClellan compared the weights (in pounds) of pairs of elk antlers dropped at Mount St Helens NVM and Rocky Mountain NP. He tabulated them in the following data table.
Weight of elk antler pairs at Mount St Helens NVM:
{34, 34, 30, 30, 30, 28, 28, 26}
Weight of elk antler pairs at Rocky Mountain NP:
{40, 38, 36, 36, 36, 36, 34, 32}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each area of collection.
(c) Calculate the means-to-MAD ratio for the two areas of collection.
(d) What inference can be made about the areas in regard to weight of dropped elk antlers? Explain

Answers

A) The two line plots are attached.

B) In order to calculate the mean, you have to sum all the values and divide it by the number of values:
m(MSH) = (34 + 34 + 30 + 30 + 30 + 28 + 28 + 26) ÷ 8 
              = 240 ÷ 8
              = 30

m(RM) = (40 + 38 + 36 + 36 + 36 + 36 + 34 + 32) ÷ 8
           = 288 ÷ 8
           = 36

In order to calculate the mean absolute deviation (MAD), you need to calculate the absolute values from the mean, sum them up and divide it by the number of values; the absolute values of the difference from the mean are:
MSH = {|34-30|, |34-30|, |30-30|, |30-30|, |30-30|, |28-30|, |28-30|, |26-30|}
        = {4, 4, 0, 0, 0, 2, 2, 4}

RM = {|40-36|, |38-36|, |36-36|, |36-36|, |36-36|, |36-36|, |34-36|, |32-36|}
     = {4, 2, 0, 0, 0, 0, 2, 4}

Therefore,
MAD(MSH) = (4 + 4 + 0 + 0 + 0 + 2 + 2 + 4) ÷ 8
                   = 16 ÷ 8
                   = 2

MAD(RM) = (4 + 2 + 0 + 0 + 0 + 0 + 2 + 4) ÷ 8
                = 12 ÷ 8
                = 1.5

C) In order to calculate the mean-to-MAD ratio, you need to simply divide the mean by the MAD:
r(MSH) = 30 ÷ 2 = 15

r(RM) = 36 ÷ 1.5 = 24

D) We can say that in Mount St Helens NVM elk antlers pairs are lighter but with a bigger variability (which means that they tend to be weight differently from each other), while in Rocky Mountain NP elk antlers pairs are heavier, but with less variability (which means that they tend to be similar to each other).

A) The two line plots are attached.


B) In order to calculate the mean, you have to sum all the values and divide it by the number of values:

m(MSH) = (34 + 34 + 30 + 30 + 30 + 28 + 28 + 26) ÷ 8 

             = 240 ÷ 8

             = 30


m(RM) = (40 + 38 + 36 + 36 + 36 + 36 + 34 + 32) ÷ 8

          = 288 ÷ 8

          = 36


In order to calculate the mean absolute deviation (MAD), you need to calculate the absolute values from the mean, sum them up and divide it by the number of values; the absolute values of the difference from the mean are:

MSH = {|34-30|, |34-30|, |30-30|, |30-30|, |30-30|, |28-30|, |28-30|, |26-30|}

       = {4, 4, 0, 0, 0, 2, 2, 4}


RM = {|40-36|, |38-36|, |36-36|, |36-36|, |36-36|, |36-36|, |34-36|, |32-36|}

    = {4, 2, 0, 0, 0, 0, 2, 4}


Therefore,

MAD(MSH) = (4 + 4 + 0 + 0 + 0 + 2 + 2 + 4) ÷ 8

                  = 16 ÷ 8

                  = 2


MAD(RM) = (4 + 2 + 0 + 0 + 0 + 0 + 2 + 4) ÷ 8

               = 12 ÷ 8

               = 1.5


C) In order to calculate the mean-to-MAD ratio, you need to simply divide the mean by the MAD:

r(MSH) = 30 ÷ 2 = 15


r(RM) = 36 ÷ 1.5 = 24


D) We can say that in Mount St Helens NVM elk antlers pairs are lighter but with a bigger variability (which means that they tend to be weight differently from each other), while in Rocky Mountain NP elk antlers pairs are heavier, but with less variability (which means that they tend to be similar to each other).


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the number of people who attended the spring festival is 799 more than 8 thousands. how many people attended the festival?

Answers

8×1000 +799 = 8,799 people attended the festival.

In this question, we are given the information about total number of people but in word equation.

We are given that, 799 more from 8 thousand attend the festival.

When we are given more, we add the number to the number from which it is more.

Here, we will add 799 to 8,000 in order to calculate total number of people who attended the festival

Thus, total number of people who attended the festival = 8,000 people + 799 people = 8,799 people.


solve the exponential equation
[tex] {10}^{ - x} = {7}^{4x} [/tex]

Answers

[tex]10^{-x}=7^{4x}\\ \ln 10^{-x}=\ln 7^{4x}\\ -x \ln 10=4x\ln 7\\ -x \ln 10-4x\ln 7=0\\ x(-\ln 10-4\ln 7)=0\\ x=0[/tex]

what number must you add to complete the square? x2-20x=17
A. 100
B. -10
C.-100
D. 10

Answers

Answer:

The number is 100

A is correct

Step-by-step explanation:

Given: [tex]x^2-20x=17[/tex]

We need to make completing square at left side.

Rule: We add a number " take half of the coefficient of x and then square it"

Coefficient of x = 20

Half of 20 = 10

Square of 10 = 100

So, we will add 100 both sides make completing square.

Now we make completing square to add 100

[tex]x^2-20x=17[/tex]

Add 100 both sides

[tex]x^2-20x+100=17+100[/tex]

Now we will factor left side perfect square

[tex]a^2-2ab+b^2=(a-b)^2[/tex]

[tex](x-10)^2=117[/tex]

[tex](x-10)^2[/tex] is completing square or perfect square.

Hence, The number is 100

Two numbers multiply to be -15 and adds to be 2 what are the numbers?

Answers

Assuming x and y are the two numbers,
[tex]x + y = 2 \\ x \times y = - 15[/tex]

[tex]x + y = 2 \\ x = 2 - y[/tex]

Substitute that into
[tex](2 - y) \times y = - 15 \\ 2y - {y}^{2} = - 15 \\ {y}^{2} - 2y - 15 = 0 \\ (y - 5)(y + 3) = 0 \\ y = 5[/tex]

Substitute that into
[tex]x = 2 - 5 \\ x = - 3[/tex]

Answer : The two numbers are 5 and - 3.

Hope this helps. - M

Mrs. Sloan is purchasing 3.4 pounds of trail mix that costs $4.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20.00.

a. $14.45 b. $5.55 c. $12.55 d. $7.45

Answers

STEP 1:
multiply number of pounds purchased by price per pound

= 3.4 pounds * $4.25 per pound
= $14.45 total cost


STEP 2:
subtract total cost of purchase (step 1) from amount she gave cashier ($20.00)

= $20.00 - $14.45
= $5.55 amount received back from cashier


ANSWER: (B) $5.55 received back

Hope this helps! :)

Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer: Sample Adventure Beach Cruise Ski A 73 4 18 3 B 71 6 22 1 Which of the following inferences can be made based on the data?

Most members prefer a beach vacation.
Most members prefer a cruise vacation.
More members prefer a cruise vacation and a ski vacation than a beach vacation.
More members prefer a beach vacation and a cruise vacation than an adventure vacation.

Answers

The correct answer is C.

There are a total of 18+3+22+1=44 people that prefer a cruise or ski vacation, while 4+6=10 people that prefer a beach vacation.

Answer:

More members prefer a cruise vacation and a ski vacation than a beach vacation.

Step-by-step explanation:

THIS IS SUPER EASY I NEED HELP

Answers

[tex]\left(\dfrac{1}{2}\right)^5=\dfrac{1^5}{2^5}=\dfrac{1}{32}[/tex]

[tex]2^5=2\cdot2\cdot2\cdot2\cdot2=32[/tex]

Answer: [tex]\left(\dfrac{1}{2}\right)^5=\dfrac{1}{32}[/tex]
(1/2)^5 is equivalent to 

(1/2) x (1/2) x (1/2) x (1/2) x (1/2)

The answer is .03125 or 1/32

Need Help ASAP..GIVING 15 POINTS TO WHO ANSWERS.IF YOU COPY AND NOT ANSWER YOU WILL GET REPORTED
The original price for a clothes washer and dryer is $999. Which coupon is a better deal? A) SAVE 20% ON ANY WASHER/DRYER COMBO B) SAVE $200 ON ANY WASHER/DRYER COMBO C) SAVE $75 PLUS 5% OFF ON ANY WASHER/DRYER COMBO D) SAVE $50 PLUS 20% OFF ON ANY WASHER/DRYER COMBO

Answers

Its D. It equals out to 749.2 after you do 20% of 999 which is 199.8 while also subtracting the additional 50$ you save on it.

A student attempted to generate an equivalent expression using the distributive property, as shown below:

6(m + 3) = 6m + 3

What was the mistake made?

A. 6 was not multiplied by m
B. Incorrect sign was used for the first term
C. Incorrect sign was used for the second term
D. 6 was not multiplied by 3

Answers

Short Answer: D
Look at them one at a time

Choice A
The result of multiplying 6 and m together (which is what you are supposed to do is 6m). This step is correct.

Choice B
There are no minus signs anywhere, either outside or inside the brackets, B is incorrect. Minus signs cannot be manufactured out of thin air. You need a reason.

Choice C
Same as B.

D is the correct answer. Both sides of a plus or minus sign have to be multiplied by what is outside the brackets. The plus sign cannot be destroyed unless you started out with something like

6 ( 4m + 3m) which = 24m + 18m = 42m But you could have combined like terms in the beginning.
6 * 7m = 42m 

.

Determine which function has the greatest rate of change over the interval [0, 2].

Answers

Remember that the average rate of change of a function over an interval is the slope of the straight line connecting the end points of the interval. To find those slopes, we are going to use the slope formula: [tex]m= \frac{y_{2}-y_{1}}{x_2-x_1} [/tex]

Rate of change of [tex]a[/tex]:
From the graph we can infer that the end points are (0,1) and (2,4). So lets use our slope formula to find the rate of change of [tex]a[/tex]:
[tex]m= \frac{y_{2}-y_{1}}{x_2-x_1} [/tex]
[tex]m= \frac{4-1}{2-0} [/tex]
[tex]m= \frac{3}{2} [/tex]
[tex]m=1.5[/tex]
The average rate of change of the function [tex]a[/tex] over the interval [0,2] is 1.5

Rate of change of [tex]b[/tex]:
Here the end points are (0,0) and (2,2)
[tex]m= \frac{2-0}{2-0}[/tex]
[tex]m= \frac{2}{2} [/tex]
[tex]m=1[/tex]
The average rate of change of the function [tex]b[/tex] over the interval [0,2] is 1

Rate of change of [tex]c[/tex]:
Here the end points are (0,-1) and (2,0)
[tex]m= \frac{0-(-1)}{2-0}[/tex]
[tex]m= \frac{1}{2} [/tex]
[tex]m=0.5[/tex]
The average rate of change of the function [tex]c[/tex] over the interval [0,2] is 0.5

Rate of change of [tex]d[/tex]:
Here the end points are (0,0.5) and (2,2.5)
[tex]m= \frac{2.5-0.5}{2-0} [/tex]
[tex]m= \frac{2}{2} [/tex]
[tex]m=1[/tex]
The average rate of change of the function [tex]d[/tex] over the interval [0,2] is 1

We can conclude that the function that has the greatest rate of change over the interval [0, 2] is the function a.

Answer:

what the other guy said

Step-by-step explanation:

find the missing dimension. use the scale factor 5:8

Answers

Question 14
5 : 8
1.5 : x
[tex]5x = 12 \\ x = 2.4[/tex]
Answer : Actual length = 2.4m

Question 15
5 : 8
x : 20
[tex]8x = 100 \\ x = 12.5[/tex]
Answer : Actual length = 12.5m

Hope this helps. - M

0.16+0.45 eaqkesbnnn

Answers

Sorry, but I have no idea what your "eaqkesbnnn" means.

If you were supposed to add 0.16 and 0.45, the correct answer would be 0.61.
Hello there, and thank you for asking your question here on brainly.

Short answer: 0.61 || 61/100

Why?

When you're adding two decimals, as long as it doesn't have a whole number, you can just add down like so.
      1
   0.16
+ 0.45
_______
   0.61
In fraction form, it is 61/100, because we have the decimal number, and put it to how long it is. (hundred[th])

Hope this helped you! ♥

triangle ABC is similar to Triangle d e f if the perimeter of a triangle ABC is 24 in what is the perimeter of triangle d e f a b c has one length of 9 inches and d e f has one length of 6 in

Answers

9/6 = 1.5
24/1.5 = 16
triangle DEF has a primeter of 16 inches

What conclusions can you make about numbers in scientific notation with negative exponents?

Answers

A conclusion that you can make about numbers in scientific notation with negative exponents that the answer is going to be negative!

Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all faces of the ramp with plywood, how much plywood will he need?

96 square feet
144 square feet
156 square feet
168 square feet

Answers

we know that
surface area of the triangular prism=2*area of the base+perimeter of base*height

area of the base=b*h/2
b=3 ft
h=4 ft
area of the base=3*4/2----> 6 ft²

perimeter of the base=3+4+5-----> 12 ft
height of the prism=12 ft

surface area of the triangular prism=2*6+12*12-----> 12+144---> 156 ft²

the answer is
156 ft²

Answer:

C) 156

Step-by-step explanation:

What is the size of the angle in the shaded triangle marked by the arrow

Answers

looks like 128 because it not 130  and it seems not like 129 so 128

PLZ Help me!!! 20 Points! Plz, know the answers!
Jack needs to save $125 to go to a concert. He has saved $35. He makes $7.50 an hour at his job. With x representing the number of hours, which equation and solution can be used to show how many hours Jack must work in order to have enough money to go to the concert?
A. 125x + 35 = 750; x = 5.75
B. 35x + 125 = 750; x = 18
C. 7.5x + 35 = 125; x = 12
D. 35−7.5x=125;x=6

Answers

Jack needs to save $125 but he has saved $35.
He makes $7.50 an hour at his job.
With x representing the number of hours

so equation

7.5x + 35 = 125
7.5x = 90
     x = 12

answer
C. C. 7.5x + 35 = 125; x = 12 
the answer is C because $125 is the total needed minus the $35 he already has saved brings it down to $90 he still needs, divided by $7.50 an hour equals 12 hours he would need to work.

The diameter of a circular placemat is 15 inches. Devon wants to sew a border of lace around the placemat. If the lace he wants is sold by the foot, how many feet of lace will he need to purchase?

Answers

Circumference = πD = π(15) = 47 feet (Nearest feet)


Answer: 47 feet
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Tina is growing sunflowers in her garden. The flowers are currently 6 inches tall each week x, they will double in size . Which equation best represent how tall the sunflower will b in x weeks Mi amigo (1) __________ que la clase de italiano es sper difcil. cuando l (2) __________ ayuda con su tarea, yo siempre (always) (3) __________ la misma cosa: "es cuestin de tener disciplina". debe ir a clase preparado, estudiar una o dos horas al da y hablar con el profesor si no entiende la materia. si mi amigo (4) __________ mis consejos (advice), va a (5) __________ lo que quiere: una a! When providing cpr to an adult victim it is vital to remember this philosophical point regarding attempted rescue Which is used as a symbol for Mr. Craven's closed heart?The dark and frightening moorsThe little robin redbreast who befriends MaryThe roses that refuse to bloomThe locked door to the secret garden What event happened on June 6, 1944 that changed the tide of the war in Europe? how did Rome's expansion lead to a rise in the number of slaves owned by Romans? If someone is an advocate of the philosophy of judicial restraint, he or she believes question 4 options: that the meaning of the law tends to evolve over time. in looking only at the words of the constitution in order to understand its meaning. that the court should beware of overturning the judgments of popularly elected legislatures. the court should go beyond the words of the constitution or a statute to consider the broader societal implications of its decisions. that judges should consider legal questions rather than deciding political matters. Witch industry employed more workers than any other manufacturing industry? a right triangle has a legs measuring 16 in and 28 inWhat is the length of the hypotenuse? Round your answer to the nearest tenth.a. 23.0 in.b. 32.2 in.c. 44.0 in.d. 1040.0 in. URGENTWILL MARK BRAINLEIST Describe a way a microbiologist and a medical laboratory technician would play in solving this case of the unknown bacteria? Lizzie played tennis for 2 2/3 hours. Andrew played tennis for 1 1/3 hours. How much longer did Lizzie play tennis than Andrew? What best explains why the moon's surface gravity is only one-sixth of Earth's surface gravity? Help quick please!!! Find the value of x summation to integral? calculus write one to two paragraphs comparing and contrasting the rise of the nation-state in Germany and Japan. Be sure to include details that show similarities and differences between the two. Discuss the impact of nationalism on the creation of the nation-state in each region. A relay team ran a race. Each team member ran #1/4# of the distance. The whole race was #8/9# mile. How far did each team member run? Nonverbal communication both reflects and shapes relationships. a. True b. False Barbara and jeffrey are both psychologists. barbara believes that biology is the sole cause for psychological disorders. jeffrey believes that while biology plays a large role, psychological and social factors should also be considered. barbara practices from the _____ perspective, whereas jeffrey practices from the _____ perspective. Consider the following set of equations: Equation A: y = x + 5Equation B: y = 6x 2Which of the following is a step that can be used to find the solution to the set of equations? x = 6x + 2 x 2 = 6x + 5 x + 5 = 6x 2 x + 5 = 5x Need help on this please