Can someone please check this?
2x^2 + 50 = −20x
2x^2 + 20x + 50 = 0
2(x^2 + 10x + 25) = 0
2(x + 5)(x + 5) = 0
(x + 5)(x + 5) = 0

x + 5 = 0 or x + 5 = 0
x = − 5, x = − 5
The solution set is
{−5}.

Answers

Answer 1
that's right very good
but its better to write (x+5)²instead of (x+5)(x+5)

Related Questions

The khan's car averages 22 miles per gallon of gas. predict how far they can travel on 5 gallons of gas.

Answers

They can travel roughly 110 miles for 5 gallons of gas.

Answer:

110 miles


Step-by-step explanation:

If EACH GALLON of gas gives 22 miles, 5 GALLONS will give 5 times that. So,

[tex]22*5=110[/tex]

So in 5 gallons, Khan's should get around 110 miles

Twice a number is 36 less than -104. Find the number

Answers

Final answer:

The question 'twice a number is 36 less than -104' is an algebraic problem which can be solved by simplifying the equation '2x = -104 - 36' and dividing through by two. The solution to the equation is x = -70.

Explanation:

The problem presented is a simple algebraic equation. The question is: Twice a number is 36 less than -104. This can be expressed with the equation 2x = -104 - 36.

To solve for x, we first simplify the right side of the equation: 2x = -140. Next, we isolate x by dividing both sides of the equation by 2: x = -140 / 2. So, the number x is -70.

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A father and his daughter together weigh seven times the daughter's weight x. The father weighs 180 lbs. Which equation can be used to find the daughter's weight?


A. 180-7x = x

B. x -180 = 7x

C. 180 -x = 7x

D. 180 + x = 7x
...?

Answers

D.180+x=7x
x-7x=-180
-6x=-180
x=180/6
x=30 pounds

180+30=210

Jimmy was 12 years old in 2014 and now in 2016 he is 15 how did he grow 3 years in 2 years?

A. HE WAS BORN ON MAY 1ST

B. HE WAS BORN ON DECEMBER 23RD

C. HE WAS BORN ON NOVEMBER 15TH

D. HE WAS BORN ON JANUARY 20TH

Answers

D. He was born on January 20th
If he was born on January 20th, he would be the oldest in his school classes. Right when the new year starts, his birthday comes up.

The population of a small town increased by 25% two years ago and then decreased by by 25% last year. The population is now 4500 persons. What was the population before the two changes?

Answers

9,000. It decreased by 50% (25%+25%) over three years, which in this case won't matter, because of the question. If 4,500 is 50% of x then just multiply 4,500 by two.

URGENT MATH HELP!

Which shows the conversion of 0.21 millimeters to inches?

There is 0.03937 inch in 1 millimeter.

A.
0.21 mm × 0.03937 in./mm = 0.0083 inches

B.
0.21 mm + 0.03937 in./mm = 0.24937 inches

C.
0.21 mm ÷ 0.03937 in./mm = 5.34 inches

D.
0.21 mm × 0.03937 in./mm = 8.3 × 10^-2 inches

Answers

The answer is: [A]:
________________________________

0.21 mm × 0.03937 in./mm = 0.0083 inches
_________________________________

What step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment?

Answers

Final answer:

To copy a line segment and ensure it has the same length as the original, use a compass to measure and create a duplicate line segment.

Explanation:

To copy a line segment and ensure that the new line segment has the same length as the original, we can use a compass. Here are the steps:

Place the compass needle on one endpoint of the original line segment.Open the compass to the length of the original line segment.Without changing the compass width, place the compass needle on the other endpoint of the original line segment and draw an arc.Use the compass to measure the same length on the arc and draw a line segment connecting the two marks.

By using this method, we can create a duplicate line segment with the same length as the original.

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I really need help solving this whole problem.

Answers

a. 
No, you do not have enough information to determine the price of both gasoline and oil from the prices that "you" and "your friend" paid at the station. If you look closely, you'll notice that "your friend" bought half the amount of gas and oil that you did and paid half the price-- you won't get a satisfactory answer from just this information.
b.
Yes, with this you can use elimination to solve the systems, as you bought 2 quarts of oil and 10 gallons of gas for $45.50 and the receipt owner bought 2 quarts of oil and 8 gallons of gas for $38.40.
c.
Alright, so here is elimination, that is, eliminating a variable if you add two equations together. (This is a confusing answer so I would suggest you ask someone else for a better one).
So, first we make an equation out of the word problem in the beginning.
I'll treat 1 gallon of gas as "g", and one quart of oil as "o".
     45.50 = 10g + 2o
+   38.40 = 8g   + 2o
You'll note that there are 2 "o"s in each equation. So, we'll multiply the bottom equation by -1 so the "o" cancels out and we can get the value of "g".
    45.50 = 10g + 2o
+  (38.40 = 8g + 2o) * -1
This becomes:
    45.50 = 10g + 2o
+ -38.40 = -8g  - 2o

Subtract, and this becomes

7.1 = 2g
/2
g = 3.55
Alright, so now we know the value of a gallon of gas. Let's substitute this back into the original equation to find the price for the oil. 

45.50 = 10(3.55) + 2o
45.50 = 35.5 + 2o
-35.5     -35.5
10 = 2o
/2
o = 5
So we know that 1 gallon of gas is $3.55 and one quart of oil is $5.00.

What is the inverse of the function f(x) = 2x – 10? h(x) = 2x – 5 h(x) = 2x + 5 h(x) = x – 5 h(x) = x + 5

Answers

f(x) = 2x-10
y = 2x -10
Switch y and x,
x = 2y -10
solve for y,
x + 10 = 2y
x/2 + 10/2 = y
x/2 + 5 = y
y = x/2 + 5  or  h(x) = x/2  + 5
Hence, the inverse of the function f(x) = 2x-10 is h(x) = x/2  + 5

The inverse of a function is gotten by swapping the x and y coordinates.

The inverse of function f(x)  is[tex]h(x) = \frac x2 + 5[/tex]

Given

[tex]f(x) = 2x - 10[/tex]

Rewrite as:

[tex]y = 2x - 10[/tex]

Swap x and y

[tex]x = 2y - 10[/tex]

Solve for y

[tex]2y = x + 10[/tex]

Divide by 2

[tex]y = \frac x2 + 5[/tex]

So, we have:

[tex]h(x) = \frac x2 + 5[/tex]

Hence, the inverse function is[tex]h(x) = \frac x2 + 5[/tex]

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What is the simplified form of the following expression? (x10)(x2)

Answers

(x^10)(x^2) Add the exponents 10+2=12 So... (x^12)

I'm pretty sure the answer would be x^12

Will Upvote! Need help!
Find the balance in the account.
$700 principal earning 5%, compounded monthly, after 9 years
A: $79,380.00
B: $1,085.93
C: $1,096.79
D: $16,088.19

Answers

The answer would be C

Solve the system of equations by using substitution y=x 10 and x=8-2y

Answers

you should make y feel lonely!!+

Is x – 3 a factor of the polynomial p(x) = 2x^4– 9x^3 + 15x^2 – 22x + 12, and for what reason?
A) Yes, because p(3) is equal to 0.
B) Yes, because p(–3) is equal to 0.
C) No, because p(3) is not equal to 0.
D) No, because p(–3) is not equal to 0.

Answers

A yes because p3 is equal to 0

WILL UPVOTE!
Which equation is related to 89 = x + 61?

A. x = 150

B. 61 = 89 + x

C. x = 28

D. x = 18

Answers

C! x = 28. If you use simplification, and then you find the answer and use it in the equation, it would be correct.

How many ways can you make 17 as the product of two numbers in multiplication?

Answers

17 is a prime number, therefore it can only times itself, so 17×1=17.

4 tens 19 tens 22 ones

Answers

the answer is 252 because 40 plus 190 plus 22 is 252

According to rule of mathematics, these given numbers will be presented according to their respective decimal places:

Step-by-step explanation:

4 tens can be represented as 40.

19 tens can be represented as 190.

22 ones are simply 22.

which two square roots are used to estimate the square root of 42
25, 36
36,49
46,64
or 25,64

Answers

The number 42 is between 36 and 49.
√36 = 6,  √49 = 7
6 < √42 < 7   ( √42 = 6.48 )
Answer:
B ) 36, 49

1)A discriminant of 0 indicates what type of roots?

A)Two Complex
B)One Rational Double
C)Two Rational
D)Two Irrational

2)The quadratic 2x2 + 6x + 3 has what type of roots?

A)Two Irrational
B)Two Complex
C)One Rational Double
D)Two Rational

3)The quadratic x2 + 20x + 100 has what type of roots?
Answer
A)Two Irrational
B)Two Rational
C)One Rational Double
D)Two Complex

4)What is the possible discriminant of the graph?(graph in the link)

A)0
B)–11
C)73
D)25

5)What is the possible discriminant of the graph?(Graph in the link)

A)0
B)17
C)25
D)–15
...?

Answers

Here are the answers to the given questions above.
1. A discriminant of 0 indicates  a rational double, which will be -b/2a for a quadratic of the form ax^2 + bx + c. The answer would be C.
2. The quadratic 2x2 + 6x + 3 has two irrational roots. The answer would be option A.
3. The quadratic x2 + 20x + 100 has One Rational Double root. The answer would be C.
4. The possible discriminant of the graph given would be -11. The answer is option B.
5. The possible discriminant of the graph given would be 0. The answer is A.
Hope these answers help.

What is 0.021 in fraction form?

Answers

Convert the decimal to a fraction by placing the decimal number over a power of ten. Since there are three numbers to the right of the decimal point, place the decimal number over 10^3 (1000)
= 21/1000

What is the sum of 1/4 and 1/5?

Answers

To add them, you first need a common denominator.
So multiply  1/4 by 5/5 and 1/5 by 4/4 first. 

Now they'll be 5/20 and 4/20. 

Add them to get 9/20. 

Can someone smart help me here?

Solve the mathematical puzzle.

S is a three digit number.
Determine the digits of S from the clues.

All the digits are odd.
The last two digits add to make ten.
The first and last digits add to make eight.
The first two digits add to make twelve.

S is

Answers

The answer is 573

S is the three digit number.
h - a number of hundreds
t - a number of tens
o - a number of ones

S = 100h + 10t + o

The last two digits add to make ten: t + o = 10
The first and last digits add to make eight: h + o = 8
The first two digits add to make twelve: h + t = 12

t + o = 10          ⇒ o = 10 - t
h + o = 8           ⇒ o = 8 - h
_______
10 - t = 8 - h
h + t = 12          ⇒ h = 12 - t
_______
10 - t = 8 - (12 - t)
10 - t = 8 - 12 + t
10 - t = -4 + t
10 + 4 = t + t
2t = 14
t = 14/2 = 7
______

h = 12 - t = 12 - 7 = 5
______

o = 8 - h = 8 - 5 = 3

S =  100h + 10t + o
h = 5
t = 7
o = 3

S = 100*5 + 10*7 + 3
   = 500 + 70 + 3
   = 573

What is 0.666 in a fraction?

Answers

6/9 it is a perdiodic number with just one number on period

Jon earns $180 per week plus $25 for each sale.write an inequality to represent how many sales he at least $500

Answers

 500>180+25 does that help

Determine whether the dilation from A (blue figure) to B (green figure) is an enlargement or reduction, then find the scale factor of the dilation.

a. reduction; scale factor of 2/5
b. enlargement; scale factor of 5/2
c. reduction; scale factor of 2/3
d. enlargement; scale factor of 3/2

Answers

Answer:

Option B

Step-by-step explanation:

In the figure attached we have to find the scale factor of dilation of figure A to figure B.

Since figure A is smaller than figure B, it concludes figure A has been enlarged to form figure B.

Now we have to find the scale factor of enlargement.

Scale factor =  [tex]\frac{\text{one side of the larger figure}}{\text{one side of the smaller figure}}[/tex]

=  [tex]\frac{5}{2}[/tex]

Therefore option B is the correct answer.

The U in the upper right corner stands for the



bigger set
universal set
infinite set
complement

Answers

The U in the upper right corner stands for the universal set.
As universal set defined the set containing all objects or elements and of which all other sets are subsets. So, the answer is B.

Answer:

Universal set

Step-by-step explanation:

We need to find U in the upper right corner stands for what

Option 1 : bigger set

We cannot say this a bigger set without comparing it with another sets and since it is also containing  another sets So, it is not said to be a bigger set.

Option 1 is wrong .

Option 2 : Universal Set

Definition of Universal Set : The set which contains all elements or all objects  and of which all other sets are subsets.

Since we can see that SET M and SET N are contained in SET U

Thus U is a universal set.

Option 2 is correct .

Option 3: infinite set

we can see in the figure that it is finite set .

So, it is not infinite set.

Option 3 is wrong .

Option 4: complement

it is not a complement set (refer given figure )

Option 4 is wrong .

Is 8.92 greater or less than 8.9

Answers

8.92 is greater than 8.9

8.92 > 8.9

What is the greatest common factor of 34n and 8n^2?

Answers

The answer is: 2n .  
_________________________________
The greatest common factor (GCF) of 34n and 8n² is:  2n .
__________________________________________
Explanation:
_______________
First, break down EACH term into prime factors:
__________________________________________
Start with the first term given: "34n" :
__________________________________________
34n = 17 * 2 * n
__________________________________________
Now, do so with the second term given: "8n² " :
__________________________________________
8n² = 2 * 2 * 2 * n * n
_______________________________________________
Now, look for factors that exist in EACH of the two terms:
_______________________________________________
In the term: "34n"; there is a "17", and a "2" and a "n" — and that's it!
_______________________________________________
In the term: "8n² " that is a "2" and an "n".
_______________________________________________
So: 2 * n = 2n ;  which is our answer:
_______________________________________________
The greatest common factor (GCF) of 34n and 8n²  is:  2n .
_________________________________________________________

The greatest common factor of 34n and 8n² is 2n, as both expressions share the variable n and the highest common numerical coefficient is 2.

The greatest common factor (GCF) of two algebraic expressions can be found by identifying the highest powers of common factors in the terms. For the expressions 34n and 8n², both terms have n as a common factor. Since we want the greatest common factor, we take the highest power of n that appears in both terms, which is n (not n² because n is the highest power in the least degree term, 34n). Next, we find the GCF of the numerical coefficients 34 and 8, which is 2. Therefore, the greatest common factor of 34n and 8n² is 2n.

What is another name for 34/8 as a mixed number??

Answers

34 ÷ 8 = 4 (remainder 2)
4 2/8 = 4 1/4
So another name for 34/8 as a mixed number is 4 1/4. I hope this helps!

Which statement is modeled by the expression?

150/k

The Henderson family drove 150 miles each day of their vacation. If their vacation lasted for k days, then 150/k is the total number of miles they traveled on their vacation.

The cafeteria has a capacity of 150 seats. If k is the number of people in the cafeteria at lunch time, then 150/k is number of seats that were not used at lunch time.

A librarian had 150 books to be placed on shelves with an equal number of books on each shelf. If k is the number of shelves to be used, then 150/k is the number of books on each shelf.

Cory had 150 dollars in his savings account. He withdrew k dollars to buy a catcher's mitt. He then had 150/k dollars left in his savings account.

Answers

A librarian has 150 books to be placed on shelves with an equal number of books on each shelf. If k is the number of shelves to be used, then 150/k is the number of books on each shelf.

Example : lets say there are 10 shelves.....so k = 10
150/10 = 15 books on each shelf.

Hey

I hope you are having a great day

The answer would be A librarian had 150 books to be placed on shelves with an equal number of books on each shelf. If k is the number of shelves to be used, then  150/k is the number of books on each shelf.

Explanation: Lets see Option 1 is obviously out Option 2 does not make

sense  When it comes to option 3 that makes the most sense Option 4 could  be right but option 3 is the best and correct answer

So that's your answer

Hope This Helps :)

  -Sprinkles

Which of these statements about statistical models is true? I. Statistical models help better understand real-world systems. II. Statistical models represent the real world. III. Statistical models help predict future behavior.

Answers

I would think statistical models help better understand real world systems

Final answer:

Statistical models help understand real-world systems, represent simplified versions of reality, and aid in predicting future behavior. However, they are not perfect and contain uncertainties.

Explanation:

The question at hand is about statistical models and their characteristics. Statistical models do indeed serve several key functions, and among the statements listed, all are true to a certain extent:

Statistical models help better understand real-world systems by simplifying complex phenomena and making them more approachable for analysis.Statistical models represent the real world, but it is important to note that they are simplifications and may not capture all the nuances of real-world behavior.Statistical models help predict future behavior by using historical data and probabilistic methods to make informed guesses about what might happen under similar circumstances.

However, it is crucial to remember that while statistical models are powerful tools for interpretation and prediction, they are not perfect representations of reality and come with inherent uncertainties and limitations.

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