Lie is solving the quadratic equation by completing the square.

3x2 + 18x – 8 = 0

3x2 + 18x = 8

What should Lie do next?

Write the polynomial as a binomial squared.
Factor 3 out of the variable terms.
Isolate the variable x.
Add 8 to both sides of the equation.

Answers

Answer 1

Answer:

Factor 3 out of the variable terms

Answer 2

Answer:

Factor 3 out of the variable terms.

Step-by-step explanation:

To complete the square the coefficient on the x^2 term must be 1

Therefor

Factor 3 out of the variable terms.


Related Questions

In a Quiz points are rewarded for each correct answer while points are deducted for each incorrect answer. In the first round, Ethan answered all the questions correctly. In the second round, he answered 8 questions incorrectly. If 3 points are deducted for each incorrect answer, by how much does Ethan’s score change in the second round?

Answers

Answer:

24 points

Step-by-step explanation:

3x8 is 24

(b) Given also that x> 1 and x is an integer.
Write down all the possible values of x.

Answers

Answer:

X can be any whole or natural number greater than 1 so like 2 could work too but no decimals or fractions or any other irrational numbers such as pi.

Step-by-step explanation:

Hope this works for you. :)

Answer:

Step-by-step explanation:

X greater than or equal to 2 for any positive integer

Solve for x. Round to the nearest tenth, if necessary. S 210 X 5.5​

Answers

Answer:

1155.0

Step-by-step explanation:

Find the equation of a line parallel to y = -5x – 10 that passes through the point
(-5,0).

Answers

Answer:

8684787

Step-by-step explanation:

Find the equation of the line perpendicular to the given line and passing through the given point.

y = -4x + 2;(-1,4)

Answers

Step-by-step explanation:

hope it helps you.......

Here is your answer refer to the attachment .

Bacteria colonies can triple in size every 4 days. If you start with 150 bacteria microorganisms, how large would the colony be after 16 days? First, complete the equation: Future Amount = 150(1+[?]​

Answers

Answer:

But notice that the colony tripled 4 times in 16 days, or it tripled 16 / 4 = 4 times.

Step-by-step explanation:

150 x 3 x 3 x 3 x 3 = 150 x 34 = 150 x 81 = 12,150.

Hope this helps

Answer:

ha i got nothing

Step-by-step explanation:

he i got nothing

what is the slope of the equation above?

Answers

answer: slope is 3/7

URGENT!!!

Peggy sue decided to enter her famous “Five- Alarm chili” at her local chili cooking contest. Normally, she needs 5 tomatoes to make enough chili for her family of 7

A. How many tomatoes should she expect to use to make her famous recipe for 100 people?

b. When she gets to the contest, she realizes that she only packed 58 tomatoes. How many people can she expect to feed?

Answers

A. If she needs 5 tomatoes for a family of seven, then we need to find how many tomatoes it takes to feed only one person and then multiply that by 100z

5/7 = 0.714… tomatoes per person

Multiply this by one hundred

0.714 * 100 = 71.43 tomatoes.

Check:

5/7 = ?/100

Solve for ?

? = 71.43 tomatoes, but you technically can’t bring 0.43 tomatoes, so round that to 72 tomatoes

B. We would need to solve for

5/7 = 58/?

? = 81.2 people, but you should round down here because there isn’t enough chili for that 82 person, and there are not 20% of a person walking around looking for some chili.

what skills are needed to learn derivatives in math ​

Answers

Answer:

smart

be smart

PLEASE HELP WILL MARK BRAINILEST

1. The formula for the volume of a rectangular box is V = lbh. What is the formula for h in terms of V, l and b?

2. Solve 7x + 3y = m, for y

3.The formula for the potential energy P = mgh. What is the formula for m in terms of P, g, and h?

Answers

Answer:

1. h = V/lb

2. y = (m - 7x)/3

3. m = P/gh

Which figure best demonstrates the setup for the box method of finding the area of a triangle? On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and share 2 sides with the triangle. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and the 3 points of the triangle touch the sides of the box. The box is 2 units larger than one side of the triangle. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and all 3 points of the triangle are on the sides of the box. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and 2 points of the triangle are on the box.

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The answer is C in Edge. Just took the assigment. Hope this helps! :)

For every 20 penguins at the North Pole there are 9 polar bears. If you encountered 27 polar bears, how many penguins would you expect to see?​

Answers

Answer:

60 penguins

Step-by-step explanation:

We need to find out how many times 9, the number of polar bears for every 20 penguins, was multiplied by, so that we can multiply 20 penguins by the same amount.

27/9 = 3

20*3 = 60

Answer: 60

Step-by-step explanation:

The ratio is 20:9. If you times both sides by 3, you will get 60:27, which means 60 penguins per 27 polar bears.

-6x + 8y = 12 and -3x + 4y = 6

Answers

Answer:

y = (3/4)x + (3/2)

Step-by-step explanation:

all points on that line

I really need help with this and happy thanksgiving

Answers

Answer:

C (-2,2)

D (1,-2)

Step-by-step explanation:

happy thanksgiving!


Write a converse theorem that proves lines a and b below are parallel.
If _______ _______ angles are ________, then two lines vk it by a transversal are parallel.

Answers

Taking into account the definition of corresponding angles and Corresponding Angles Theorem, if the corresponding angles are congruent, then two lines cut it by a transversal are parallel.

First of all, remember that a transverse line is a line that crosses or passes through two other lines. Sometimes the other two lines are parallel and the transversal passes through both lines at the same angle. However, the other two lines do not have to be parallel for a transversal to cross them.

Corresponding angles

Corresponding angles are angles formed when a transverse line crosses two straight lines. These angles are formed at equivalent corners or at corners corresponding to the transversal when two lines are intersected by a third line.

In other words, if a transversal line intersects two parallel lines, the corresponding angles are those that are on the same side of the parallels and on the same side of the transversal.

Corresponding Angles Theorem

The Corresponding Angles Theorem states that if two parallel lines are cut by a transversal, then the corresponding pairs of angles are congruent.

Remember that if two angles are congruent, then they have the same measure.

The opposite of this theorem is also true:  If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

In summary

In summary, if the corresponding angles are congruent, then two lines cut it by a transversal are parallel.

Learn more about corresponding angles theorem:

https://brainly.com/question/12122049?referrer=searchResultshttps://brainly.com/question/18250950?referrer=searchResultshttps://brainly.com/question/12101094

2x-7=13
What is the answer for x ?

Answers

Answer:

The answer will be ( x = 10)

Please help me please

Answers

Step-by-step explanation:

m +2 = 4

m = 2

x = 1

y +1 = 2

y = 1

z = -1

Q.no 21 solve it.
Plz. Plz

Answers

Answer:

Hamm i don't know sorry a want yo help You Buy a can't because a don't know sorry


A farmer has two tractors. The probability that
tractor 1 will break down is 3% and the
probability that tractor 2 will break down is
5%. What is the probability that both tractors
will break down on a given day? Give your
ansineras

Answers

Step-by-step explanation:

the break down probabilities are for the same given day ? one day ?

if that is so, then the expected value for a break down day for tractor 1 will be 34 days (rounded up 100%/3%), and for tractor 2 20 days (100%/5%).

that would be horrible. a tractor would only work for about a month without major repair.

because normally such probabilities are given for a warranty period like 1 or 3 or 5 years.

but the description does not say anything about that. so, we have to go with the primary assumption.

so, the question is about the probability that both things happen at the same time (the same day).

this is like asking for the probability of rolling a double 6 with two dice - both events (a 6 on a die) have to happen "together". so it is the probability of one event multiplied by the probability of the second event : 1/6 × 1/6 = 1/36

5% = 0.05 (5% is 5 hundredths) = 5/100

3% = 0.03 (3% is 3 hundredths) = 3/100

now both events (break-down of both tractors) happen together means 5/100 × 3/100 = 15/10000 = 0.0015

that means the probability in % is 0.15%

that means in other words, this event (both tractors breaking down on the save day) is expected to happen 15 times in 10000 days, or once every 667 days (or roughly every 2 years).

Please explain step-by-step! Thanks!


Random answers will be reported

Answers

Step-by-step explanation:

what is your questions?????
What do you want us to solve

Look at the screen shot and answer the question. Please Explain !!

Answers

Answer:

see explanation

Step-by-step explanation:

- 4x + 3 < 23 ( subtract 3 from both sides )

- 4x < 20

x < - 5 ← Her error is on this step

When dividing by a negative quantity the symbol is reversed, that is

Divide both sides by - 4 and reversing the symbol gives

x > - 5

Mark of Ben in semester 1 examination is 586:600. Convert it into percentage

Answers

Answer:

97.67

Step-by-step explanation:

600 = 100%

586 = x%

[tex]\frac{100}{x} = \frac{600}{586}[/tex]

x = [tex]\frac{586.100}{600}[/tex] = [tex]\frac{586.100}{6.100}[/tex] = [tex]\frac{586}{6}[/tex] = 97.67

sorry here is the question!! please help and Thank you!!

Answers

Answer:

B.   4

Step-by-step explanation:

[tex] \dfrac{\sqrt{32}}{\sqrt{2}} = [/tex]

[tex] = \dfrac{\sqrt{16 \times 2}}{\sqrt{2}} [/tex]

[tex] = \dfrac{\sqrt{16} \times \sqrt{2}}{\sqrt{2}} [/tex]

[tex] = \dfrac{4\sqrt{2}}{\sqrt{2}} [/tex]

[tex] = 4[/tex]

-5x - 25= 78; her work is shown below identify the error and where it was made

Answers

[tex]-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5[/tex]

solve for x
(4/9)^√x=(2/3)^39-√x

Answers

Answer:

169

Step-by-step explanation:

(4/9)^√x = (2/3)^39-√x

(2/3)^2√x = (2/3)^39-√x

Comparing the bases ,

2√x = 39-√x

3√x = 39

√x = 13

x = 169

What is a unit rate?

What are the steps for
finding a unit rate?

Each 12-ounce bottle of
shampoo cost $2.15.
What is the cost
per ounce?

Answer all please

Answers

Answer:

1. Cost of a quantity of 1.

2. Divide the cost by quantity.

3. $0.18 per ounce

work: 2.15 / 12 = 0.1791666666666 and round

I need this solved with the answer as an ordered pair

Answers

Answer:

look at the picture i have sent

clara has a positive acceleration for 5 minutes

Answers

Answer:

The answer is C.

Step-by-step explanation:

Create a shape with an area of 0.8 m2 and a perimeter close to 400 cm

Answers

The dimension of the shape is approximately 1.45 meters by 0.55 meters

Assume the shape is a rectangle, that has the following dimensions.

Length = x

Width = y

So, the area is:

Area = xy

The perimeter is

Perimeter = 2(x + y)

Substitute known values

[tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{2(x+y) = 400cm}[/tex]

Express cm as m

[tex]\mathbf{2(x+y) = 4m}[/tex]

Divide through by 2

[tex]\mathbf{x+y = 2m}[/tex]

Make x the subject (ignore the units)

[tex]\mathbf{x= 2 - y}[/tex]

Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{(2-y)y = 0.8}[/tex]

Open brackets

[tex]\mathbf{2y-y^2 = 0.8}[/tex]

Rewrite as:

[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx (0.55,1.45)}[/tex]

Recall that:

[tex]\mathbf{x= 2 - y}[/tex]

So, we have:

[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]

[tex]\mathbf{x \approx (1.45,0.55)}[/tex]

Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters

Read more about areas and perimeters at:

https://brainly.com/question/11957651

-5(2x -3) + 4x = - 3x + 6

Answers

We have -5(2x-3) + 4x = -3x + 6
<=> -10x + 15 + 4x = -3x + 6
<=> -10x + 4x + 3x = 6 - 15
<=> -3x = -9
<=> x = 3

Ok done. Thank to me:>
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