Which of the following equation have only one solutions? Select all correct answers. 4x^2+4x=0 X^2+6x+9=0 9x^2-25=0 5x^2+20x+20=0 X^2-x-6=0

QUESTION POSTED AT 03/12/2019 - 04:20 AM

Answered by admin AT 03/12/2019 - 04:20 AM

4x^2+4x=0 \\
4x(x+1)=0 \\
4x=0 \ \lor \ x+1=0 \\
x=0 \ \lor \ x=-1 \\
\hbox{two solutions} \\ \\
x^2+6x+9=0 \\
(x+3)^2=0 \\
x+3=0 \\
x=-3 \\
\hbox{one solution}

9x^2-25=0 \\
(3x)^2-5^2=0 \\
(3x-5)(3x+5)=0 \\
3x-5=0 \ \lor \ 3x+5=0 \\
3x=5 \ \lor \ 3x=-5 \\
x=\frac{5}{3} \ \lor \ x=-\frac{5}{3} \\
\hbox{two solutions} \\ \\
5x^2+20x+20=0 \\
x^2+4x+4=0 \\
(x+2)^2=0 \\
x+2=0 \\
x=-2 \\
\hbox{one solution}

x^2-x-6=0 \\
x^2+2x-3x-6=0 \\
x(x+2)-3(x+2)=0 \\
(x-3)(x+2)=0 \\
x-3=0 \ \lor \ x+2=0 \\
x=3 \ \lor \ x=-2 \\
\hbox{two solutions}

The equations which have only one solution are: x²+6x+9=0 and 5x²+20x+20=0, 
Post your answer

Related questions

Curtis wants to build a model of a 180 meter tall building. He will be using a scale of 1.5cm =3.5meters.How tall will the model be? Round your answer to the nearest tenth Please show your work!!

Curtis wants to build a model building.
The building height is 180 meter tall.
Now, the model building she wants to build is equals to 1.5cm on each 3.5 meters
Let’s find how tall Curtis’ building model is:
=>  180 meter / 3.5 meter
=> 51.429 meter
Now, let’s multiply this 1 by 1.5 cm
=>  51.429 x 1.5 cm
=> 77.143 centimeters
Round to the nearest tenths
=> 77.1 centimeter tall => the height of Curtis’ Model Building





ANSWERED AT 09/12/2019 - 05:12 AM


QUESTION POSTED AT 09/12/2019 - 05:12 AM

A survey found that 12 out of every 15 people in the United states prefer eating at a restaurant over cooking at home. if 400 people selected eating at a restaurant on the survey, how many people took the survey...

On a certain survey it says:
12 out 15 people in the United States prefer eating at the restaurant rather than home.
To know how many percent is this.
=> 12 / 15
=> 0.8 which is also 80%
Now, the  80% of the those people in the survey is 400.
Find the total number  of people who took the survey.
Since we already have the 80%, we need to find the number of 20%
=> 400 x 20%
=> 400 x .20
=> 80
=> 400 + 80
=> 480 => the total number of people who took the survey





ANSWERED AT 09/12/2019 - 05:12 AM


QUESTION POSTED AT 09/12/2019 - 05:12 AM

Two students participated in a fund-raiser. Each sold a combination of pencils and notebooks. The first student sold 2 pencils and 8 notebooks for a total of $17. The second student sold 10 pencils and 3 notebooks for a total of $11. Find the price of each item. Write a system of equations (two equations), and define the variables also. x= y= 1) 2)9 POINTS! Please help!

2x + 8y = 17
10x + 3y = 11

We need to solve the system of equations.

x = pencils
y = notebooks

If we solve by graphing, we get the answer:

One pencil costs 0.50 dollars
One notebook costs 2.00 dollars

ANSWERED AT 09/12/2019 - 05:05 AM


QUESTION POSTED AT 09/12/2019 - 05:05 AM

What is the answer to 5.06 by 47.058

If you multiply 5.06 by 47.058 you will get  238.11348

ANSWERED AT 09/12/2019 - 05:04 AM


QUESTION POSTED AT 09/12/2019 - 05:04 AM

What is the answer to 3a+5-x+7x-2a

The answer to your problem is a+6x+5.

ANSWERED AT 09/12/2019 - 05:01 AM


QUESTION POSTED AT 09/12/2019 - 05:01 AM

What is the solution of the equation x+6 divided by 2 equals 5

(x+6)/2=5
=> x+6=10
=> x=4

ANSWERED AT 09/12/2019 - 04:54 AM


QUESTION POSTED AT 09/12/2019 - 04:54 AM

What is the solution on a 10×10 grid for 0.8 × 0.4

You know how the grid is right? Well shade in 40 (0.4) boxes across. Then shade 80 (0.8) boxes down. Hope this helped

ANSWERED AT 09/12/2019 - 04:51 AM


QUESTION POSTED AT 09/12/2019 - 04:51 AM

Can you show how to solve this question? Thomas and Sharlina work on weekends and holidays doing odd jobs around the neighborhood. They are paid by the day, not by the hour. They each earn the same whole number of dollars per day. Last month Thomas earned $184 and Sharlina earned $207 a. How many days did each person work? b. Whatis their daily pay PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER

To find out how much they earned, we need to find the GCF of 184 and 207.

The greatest common factor (GCF) of 184 and 207 is 23.

That means they earn 23 dollars per day. That is your answer for part b.

And Thomas worked 184/23 = 8 days
While Sharlina worked 207/23 = 9 days

That is your answer for part a.

ANSWERED AT 09/12/2019 - 04:51 AM


QUESTION POSTED AT 09/12/2019 - 04:51 AM

A girraffe can run up to 46.93 feet per second.How far could a giraffe run in 1.8 seconds justify your answer

 4693 <----- I think this is how you solve it.
x   18

ANSWERED AT 09/12/2019 - 04:44 AM


QUESTION POSTED AT 09/12/2019 - 04:44 AM

Whats the answer to 37+y=87; y=

We subtract. We do 87-37 and that would equal 50. Therefore, y=50. Hoped I helped. :)

ANSWERED AT 09/12/2019 - 04:42 AM


QUESTION POSTED AT 09/12/2019 - 04:42 AM

After a lesson on exponents, Tia went home and said to her mom, "I learned that 10exponet 4 is the same as 40,000." She has made a mistake her thinking. Use words to help Tia correct her mistake

10 exponent 4 is not the same as 40 000. Tia’s thinking is definitely wrong.
Because exponent is a number that indicates how many times you will going to  multiply the base number.
Let’s show how we do it:
=> 10 ^ 4
=> 10 x 10 x 10 x 10 , where 10 is our base number and 4 is our exponent. So we multiply 10 4 times
=> 10 000 = the correct answer to the given equation.




ANSWERED AT 09/12/2019 - 04:38 AM


QUESTION POSTED AT 09/12/2019 - 04:38 AM

19+(26-11)•3-16 what is my answer please

The answer to all your problems is 48.

ANSWERED AT 09/12/2019 - 04:31 AM


QUESTION POSTED AT 09/12/2019 - 04:31 AM

Suppose regular gasoline costs 2.76 per gallon . you can purchase a car wash at the gas station for 3$. write the equation in slope intercept form

2.76g=3$

         27/3 is 9 so 9x6=64

ANSWERED AT 09/12/2019 - 04:25 AM


QUESTION POSTED AT 09/12/2019 - 04:25 AM

Mei is writing 4.28 as a mixed number. Find her mistake and correct it.

4.28 is a decimal and not a mixed number. To write it as a mixed number you keep the 4 and put 28 over 100 then simplify.

4.28= 4 28/100 (simplify)
4 28/100= 4 14/50= 4 7/25

4.28 as a mixed number would be 4 7/25

ANSWERED AT 09/12/2019 - 04:22 AM


QUESTION POSTED AT 09/12/2019 - 04:22 AM

Stephens family had a reunion last weekend. If there were 24 family members and 8 apple pies cut into 6 slices, what answer choice represents the fraction of one apple pie that each family member received?

Stephens family had a reunion last weekend.
If there were 24 family members and 8 apple pies cut into 6 slices,
what answer choice represents the fraction of one apple pie
that each family member received?
Each family member received 1/4 of an apple pie.

ANSWERED AT 09/12/2019 - 04:00 AM


QUESTION POSTED AT 09/12/2019 - 04:00 AM

Suppose you bought a pizza for $8.00. You also bought a salad but you can not remember how much you paid and you can not find the receipt.You know the total amount you spent was $10.00. Which equation would best to answer to find the cost to the salad A:8.00+$=10.00 B:8.00+10.00=$ C:8.00 x $=10.00 D.10.00 x $ = 8.00

The best equation would be A.

with A you get to calculate what is the value of $. 

8 + $ = 10 (10 is the total value of your receipt and 8 is the price of pizza)
$ = 10 - 8 (we transfer the price of pizza on the other side to the total amount of your receipt and calculate the remaining amount)
$ = 2

We see that the remaining amount is 2$, which means the salad cost s2$ :)

ANSWERED AT 09/12/2019 - 03:56 AM


QUESTION POSTED AT 09/12/2019 - 03:56 AM

Please answer!!!! please!!!!!!


The problem here is:  Too many words.

If you boil the problem down to the bare facts, the question is:

             "$210 is 15% of what number ?"

I'm pretty sure you can take it from there,
but here's the rest of it anyway:

                                                $210  =  15% of (March amount)

                                                $210  =  0.15 x (March amount)

Divide each side by  0.15 :     $1400 = March amount .

Check:
1400 + 210 =  1610
1.15 x 1400 = 1610                                      yay!

ANSWERED AT 09/12/2019 - 02:32 AM


QUESTION POSTED AT 09/12/2019 - 02:32 AM

The sale price , s , of an item is 20% off the regular price , r . Which. Equation below expresses this relationship

I would think that thwe equation used to solve it would be 0.2 - r = s.

ANSWERED AT 09/12/2019 - 01:27 AM


QUESTION POSTED AT 09/12/2019 - 01:27 AM

3 packs of soda cost $10 less than 5 packs of soda. write an equation that models this.

For this case, the first thing we must do is define a variable.

We have then:

x: unit cost of each pack of soda

We now write the equation that models the problem.

We know that:

3 packs of soda cost $ 10 less than 5 packs of soda.

We have then:

 3x = 5x - 10

Answer:

an equation that models this is:

 3x = 5x - 10

ANSWERED AT 09/12/2019 - 12:21 AM


QUESTION POSTED AT 09/12/2019 - 12:21 AM

3 packs of soda cost $10 less than 5 packs of soda. write an equation that models this.


Cost 1 pack = x

3x + 10 = 5x;

2x = 10;

x = 5.

1 pack cost $5

ANSWERED AT 09/12/2019 - 12:21 AM


QUESTION POSTED AT 09/12/2019 - 12:21 AM

Write an equation of 45 is the product

Step-by-step explanation:

The product of two numbers is 45. One number is greater than the other by 4 units. The numbers are as follows.

                                        9 × 5 = 45

Again the product of two numbers is 45. One number is greater than the other by 12 units. The numbers are as follows.

                                        15 × 3 = 45

Again the product of two numbers is 45. One number is greater than the other by 44 units. The numbers are as follows.

                                        45 × 1 = 45

ANSWERED AT 08/12/2019 - 10:43 PM


QUESTION POSTED AT 08/12/2019 - 10:43 PM

Write the equation for the horizontal line that contains point G(3, 4). Choose one answer. a. y = 3 b. x = 3 c. y = 4 d. x = 4

The answer is b because the 3 is in the x value spot. (x,y)

ANSWERED AT 08/12/2019 - 05:02 PM


QUESTION POSTED AT 08/12/2019 - 05:02 PM

What's 51 correct and 9 incorrect as a fraction

There is 60 possible so the fraction will be 51/60 which equals .85

ANSWERED AT 08/12/2019 - 04:58 PM


QUESTION POSTED AT 08/12/2019 - 04:58 PM

What is the answer 5•(14+6)+4


14+6 =20 (first)

20 *5 =100(second)

100+4 =104(third)

Your answer is 104


ANSWERED AT 08/12/2019 - 04:58 PM


QUESTION POSTED AT 08/12/2019 - 04:58 PM

What is 3498 divided by 7.Explain how you got this answer and why you think its reasonable

Here is your answer click the file

ANSWERED AT 08/12/2019 - 04:56 PM


QUESTION POSTED AT 08/12/2019 - 04:56 PM