In order to solve a quadratic equation by completing the square, what does the coefficient of the squared term need to be? If the coefficient is not equal to this, what does your first step need to be to complete the sqaure?

Answers

Answer 1

Answer:

For completing the square, you need the coefficient of the x^2 term to be 1.

http://www.1728.org/quadr2.htm

Step-by-step explanation:


Related Questions


What is the surface area of the right prism?
92 ft2
46 ft2
48 ft2
70 ft2

(will mark brainliest <3)

Answers

Answer:  70 ft^2   ( choice D )

=========================================================

Work Shown:

L = 8 ft = lengthW = 3 ft = widthH = 1 ft = height

SA = surface area of the rectangular prism (aka block or box)

SA = 2*(LW + LH + WH)

SA = 2*(8*3 + 8*1 + 3*1)

SA = 2*(24 + 8 + 3)

SA = 2*(35)

SA = 70 square feet

This is the amount of wrapping paper you would need to cover all six sides of the box. This assumes that there are no gaps or overlaps.

In a 4-digit perfect square, the first two digits are the same, and the last two digits are also the same. What is the value of this 4-digit number?

Answers

Answer:

7744

Step-by-step explanation:

Let the number is in the form of aabb.

We can put it as:

aabb = 11*(100a + b) = 11*(99a + a + b)

The number is a perfect square so it must be divisible by 11.

It is divisible by 11 if (a + b) is divisible by 11..

On the other hand, b = 0, 1, 4, 5, 6, 9 as the last digit of a perfect square.

Also, both a and b must be within (0,9) interval.

Considering the above conditions we have options:

a,b = 2,9 or 5,6 or 6,5 or 7,4

The numbers are:

2299556666557744

By testing we confirm only one of them is a perfect square:

7744

Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP

Answers

Answer:

70 feet

Step-by-step explanation:

If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.

Suppose h” is continuous at x = 2,h' (2) = 0, and h” (2) < 0.
What can you say about the behavior of h at X = 2?

Answers

Answer:

Hello,

Step-by-step explanation:

h(x) has a minimum at x=  2. (h(x) is turning down at x=2)

I have suppose that h''(2 + ) <0 and h''(2 -) <0

Let g(x) = f (x+1) - 2, find when g(x) = 12

I don't know how to evaluate this since I have both g(x) and an f(x).

Answers

Answer:

f(x +1 ) =14

Step-by-step explanation:

12= f(x +1) -2

f(x +1) = 12 +2

f (x+1 ) = 12

What set of number does the following number belongs to? (1.1A.1a) -√5​

Answers

Answer:

irrational

Step-by-step explanation:

See the image for a Venn diagram illustrating relationships among the various subsets of real numbers.

which statement is true

Answers

3) an $8 delivery fee and $1.50 per litre of water

This is because the $8 is a constant baseline, then adding $1.50 times the amount of litres purchased.

help me with this question of O math​

Answers

Answer:

domain is { - 1, 0, 1 }

Step-by-step explanation:

The domain are the values of the input x

Substitute the value from the range y into the equation and solve for x

y = 1

2x + 3 = 1 ( subtract 3 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

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

y = 3

2x + 3 = 3 ( subtract 3 from both sides )

2x = 0 , then

x = 0

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

y = 5

2x + 3 = 5 ( subtract 3 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Then the domain is { - 1, 0, 1 }

The supplement of an angle is four times the compliment of the angle find the angle

Answers

Answer:

72

Step-by-step explanation:

one angle = x

other one, 4x

they're compliment,

so,

x+4x=90

or, 5x=90

or, x=18

so the angle is 4x=4×18=72

Answer:

60°

Step-by-step explanation:

Let the angle is x.

Supplement of x:

180 - x

Complement of x:

90 - x

We have:

180 - x = 4(90 - x)

Solve for x:

180 - x = 360 - 4x4x - x = 360 - 1803x = 180x = 60

Tanisha has 7 less than 4 times as many
toy cars as Fernando. If Tanisha has 9
cars, how many toy cars does Fernando
have?
a. 2 toy cars
b. 4 toy cars
c. 8 toy cars
d. 29 toy cars

help!

Answers

Answer: D is my guess.

Step-by-step explanation:

If you multiply those two number and subtract it by tanisha that probably is your answer if I'm  incorrect I'm sorry hopefully this helped

<RQT is a straight angle. What are m<RQS and m<TQS? (also I know it's 19x+9. I need the numbers like 180 or something) it's degrees. ​

Answers

Answer:

<RQS=103 degrees

<SQT=77

Step-by-step explanation:

19x + 9 = 180  subtract 9 from both sides

19x = 171           divide both sides by 19

x = 9                  replace 9 for x in your original

11 x 9 + 4 = 103

8 x 9 + 5 = 77

Answer:

RQS=103°,SQT=77°

SEE THE IMAGE FOR SOLUTION

-8(.75)-2(5+-4-4-4)+7(5)(5)

Answers

Answer:

183

Step-by-step explanation:

-8(.75)-2(5+-4-4-4)+7(5)(5)

-8(.75) = -6

-6-2(5+-4-4-4)+7(5)(5)

(5+-4-4-4) = (-7)

-6-2(-7)+7(5)(5)

7(5)(5) = 175

-6-2(-7)+175

-2(-7) = 14

-6+14+175=183

find the measure of the indicated angle to the nearest degree​

Answers

Answer:

39.401

Step-by-step explanation:

Which of the following rules describes the function graphed below?

Answers

Answer:

D

Step-by-step explanation:

Output = 3*input - 2. Observe the graph again

find the coefficient of mt in the expansion of 4m(3n-2t)+3t(3t-2m)​

Answers

Answer:

-14

Step-by-step explanation:

12mn-8mt+9t²-6mt

12mn+9t²-14mt

the coefficient of mt is -14

The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m)​ will be -14.

What is expansion?

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given that

⇒ 4m(3n-2t)+3t(3t-2m)​

⇒  12mn -8mt + 9t² - 6mt

⇒  12mn + 9t² + 14 mt

Hence it's clear that the coefficient of mt will be -14.

For more information about the expansion

https://brainly.com/question/14447197

#SPJ2

Ian drives an electric car. He can drive 425 kilometres before he needs to stop and recharge his car. It takes 10 minutes to charge 50 kilometres. How long does Ian have to wait for his car to fully charge?

Answers

Answer:

85 minutes

Step-by-step explanation:

425/50=8.5 10 minute increments

8.5*10= 85 minutes

Boston wheel chair marathon how long would it take to run a 30 mile race

Answers

G all please come to mpu-xcny-did

if f(x+1)=3x+4,find f(x) and f(3).​

Answers

f(x+1)=3x+4

Let y be x+1 So x=y-1

[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]

[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]

[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]

[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto 3(3)+1[/tex]

[tex]\\ \sf\longmapsto 9+1[/tex]

[tex]\\ \sf\longmapsto 10[/tex]

Fill in the missing number in the equation.

Drop down answers: -2, 8, 15, or It is not possible to find the answer

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

The matrix being multiplied is the same in all cases, so we can "collect terms" in the usual way.

  3A +5A = (3+5)A = 8A . . . . . . where A represents the 2×2 matrix

The missing number is 8.

Which equation is a direct variation function?

y = x
y = 4
y = x2
y = 1/4 x + 2

Answers

Answer:

Two choices are correct answer.

y = x   and y = 1/4 x

Step-by-step explanation:

We have given four equations.  

We have to choose the equations that are direct variation function.  

Direct variation function is defined as the relation where one variable vary constant times to the other variable.  

let two variables are x and y.  

y = kx   where k is constant.  

Comparing given equation , we notice that  

y = x is direct variation function where k = 1.  

y = 1/4 x is direct variation function where k = 1/4.

16x + 90 = 2 ( 10x + 5 ) answer

Answers

Answer:

x = 20

Step-by-step explanation:

[tex]16x+90=2(10x+5)\\\\16x+90=20x+10\\\\90=4x+10\\\\80=4x\\\\20=x[/tex]

SOMEONE HELP ME PLEASE

Answers

Answer:

Step-by-step on:ơ

Help Pls if you want!!!!

Answers

Answer:

Its 2.5 percent ladd enjoy

Step-by-step explanation:

Answer:

2 per team and 2 left

Step-by-step explanation:

10 can't split into 4 evenly so, you can only give 2 to each team causing there to be 2 left.

4*2 = 8

10-8 = 2

PLEASE HELP!!!! The total yield of rice in a farm is 10^8 kg, and the land is10^5 km. What is the output of rice every km? (the answer has to be in exponential form)

Answers

Answer:

10^3 kg

Step-by-step explanation:

Think about it that you have the total yield 10^8 kg of rice from 10^5 km^2 of land. You now only want How much does 1 km^2 of land produce. Which can be shown as

10^8/10^5=??/1. To get the denominator to equal one you divide the top and bottom of the first problem by 10^5. 10^8/10^5 is 10^3. So it's 10^3 kg

Answer:

Since −13 is a proper fraction, it cannot be written as a mixed number.

1. The weight, wky, of a bag of sand is given as 5.6 kg correct to
1 decimal place. Find the range of values in which the actual
weight lies.

Answers

Answer:

5.56

Step-无by-step explanation:

Hey I want to make sure my answer for this question is right I think the answer is A but I want to e sure I did it right ༼ つ ◕_◕ ༽つ

Answers

Answer:

The correct choice is option C. 4xy√3y

Step-by-step explanation:

√12x^2y^3 + 2xy√3y

√12x^2y^3 = 2√3 xy√y

2xy√3y = 2√3 xy√y

2√3 xy√y +  2√3 xy√y

= 4√3 xy√y

= 4xy√3y

which one of the following has a terminating decimal expansion?
a.5/64
b.8/9
c.14/15
d.1/12​

Answers

Answer:

b. 8/9

Step-by-step explanation:

step by step explanation

Answer:

A

Step-by-step explanation:

Because if you were to out each fraction into a calculator you see that b,c, and d have a never ending decimal. The only fraction that does end in option A, therefore ur answer is option a

One of the legs of a right triangle measures 11 cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
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Answers

Answer:

17.02939

Step-by-step explanation:

given that (2*(x -3) ) / 8*( 2 y - 3) = 16*( x - y )​

Answers

Answer:

2 ^ (x - 3) ÷ 2 ^ 3(2y - 3)=2 ^ 4(x - y)

The two are common so we give it out then

x - 3 ÷ 6y - 9 =4x - 4y

x - 3 -4x - 4y = 6y -9

-3x -2y = -6

6=3x+2y

Answer:

Step-by-step explanation:

[tex]\frac{2^{x-3}}{8^{2y-3}}=16^{x-y}\\\\\frac{2^{x-3}}{(2^{3})^{2y-3}}=(2^{4})^{x-y}\\\\\frac{2^{x-3}}{2^{3*(2y-3)}}=2^{4*(x-y)}\\\\\frac{2^{x-3}}{2^{6y-9}}=2^{4x-4y}\\\\2^{x-3 -(6y-9)}=2^{4x-4y}\\\\2^{x-3-6y+9}=2^{4x-4y}\\\\2^{x-6y+6}=2^{4x-4y}[/tex]

base is same, so equate the powers

x - 6y + 6 = 4x - 4y

Subtract 'x' from both sides

-6y + 6 = 4x -x - 4y

-6y + 6 = 3x - 4y

Add '6y' to both sides

6 = 3x - 4y + 6y

6 = 3x + 2y

Hence proved

For which of the following do you need to change the final y to i before adding the suffix?


say + -ing


happy + -ness


enjoy + -ment


play + -er

Answers

The answer to this question would be the second option. It’s not happyness but it is happiness. :)
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