5x^2-25x=125 solve by completeing the square
Answers
Answer:
x = 10, -15
Step-by-step explanation:
We can start right away by dividing both sides of our equation by 5 to get the reduced form \(x^2-5x=25\).
To "complete the square," or turn the left side of the equation into something we can factor into a perfect square, it helps to remember that for any binomial x - a:
\((x-a)^2=x^2-2ax+a^2\)
To "complete" our square, we'll need to add an a² to either side of the equation. To find a, we can set 5x = 2ax and solve:
\(5x=2ax\\5/2=a\\25/4=a^2\)
Let's add that a² to both sides and simplify!
\(x^2-5x+\frac{25}{4}=25+\frac{25}{4}\\\\(x-\frac{5}{2})^2=\frac{125}{4}\\\\x-\frac{5}{2}=\pm\sqrt{\frac{125}{4} } \\\\x=\pm\frac{25}{2}-\frac{5}{2}\)
Now we're ready to solve for both value of x:
\(x=\frac{25}{2}-\frac{5}{2}=\frac{20}{2} =10\\\\x=-\frac{25}{2}- \frac{5}{2}=-\frac{30}{2} =-15\)
So our solutions are x = 10 and x = -15
Answer:
x=5+5√5/2
Step-by-step explanation:
Related Questions
Mr. Gibson mapped out two gardens he wants to build in his backyard. Mr. Gibson's gardens are shown below.
Which equation could be used to find A, the total area of Mr. Gibson's gardens
Answers
Answer:36ft
Step-by-step explanation:3 times 3 times 4 is 36
Can someone help me please
I have to show work
Find the surface area of the rectangular prism shown. Draw a net to help you.
Answers
2(6*9) + 2(6*5) + 2(5*9)
Surface Area = 258 units
*IG: whis.sama_ent
hey help help pls help quick help
Answers
Answer:
D
Step-by-step explanation
you see 6 squrs and One whole.
Answer: D
Step-by-step explanation: since its not asking for the answer if you look at both fractions are separated on the model and on the left is 1/6 and then on the right is 1/2 and if your looking for the answer its 3! Hope this helps!
The Sugar Sweet Company needs to transport sugar to market. The graph below shows the transporting cost (in dollars) versus the weight of the sugar being transported (in tons).
Use the graph to answer the questions.
Answers
Answer:
Step-by-step explanation:
1)Cost of 1 ton = $ 2000
Cost of 2 ton = $3500
Cost of 3 ton = $5000
$ 1500 increase for each of ton of sugar being transported.
2) (1 , 2000) ; (2 , 3500)
Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
\(=\frac{3500-2000}{2-1}\)
= 1500
Answer:
both are 400
step by step explanation
pls help i cant understand this and its due tmrw
Answers
Answer:
1. 734
2. 5913
3. 2048
Step-by-step explanation:
try looking at these pictures
I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
Answers
Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
brainilest if correct algebra 1
Answers
Answer:
The second one.
Step-by-step explanation:
none of the X values are the same, which is what determines functions. Plz give brainliest as this answer is right, I've had this problem before myself once.
x-2y=3, x^2-2y=3, x^2-2xy+4y^2=11, find the value of x^2y-2xy^2
Answers
This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:
x^2-2y=3 - (x-2y=3) => x^2-x=0
Then we can factor the resulting equation and find the values of x:
x^2-x=0 => x(x-1)=0 => x=0 or x=1
Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:
x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1
Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:
x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1
Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.
Which is a unit rate?
1/2 of a cantaloupe in two dishes
A dog sitting at a bar
50 1/2 jumping jacks in one minute
$21.50 for three belts
150 miles in 2 1/2 hours
Answers
Answer:
(e) 150 m. in 2.5 hrs.
Step-by-step explanation:
the only answer in which a unit is given.
Select the fraction that is equivalent to three fourths.
one twelfth
three twelfths
two fourths
nine twelfths
Answers
Answer:
nine twelfths
Step-by-step explanation:
nine twelfths is equivalent to three fourths.
Answer:
nine twelfths i think it is answer
e669yrx4pk answer this question so i give you brain thingy
Answers
which expression means “6 more than the quotient of a number and 5”
Answers
x/5+6 => expression means “6 more than the quotient of a number and 5”.
Option B is correct.
Here,
The expression that means "6 more than the quotient of a number and 5" can be written as:
(x / 5) + 6
In this expression, "x" represents the unknown number.
Let's break down the expression and explain it step by step:
(x / 5):
This part of the expression represents the quotient of "x" and 5.
It means that we divide "x" by 5.
(x / 5) + 6:
his means we take the quotient obtained in step 1 and add 6 to it.
It represents "6 more than the quotient of a number and 5."
Hence, x/5+6 => expression means “6 more than the quotient of a number and 5”.
Option B is correct.
To learn more on Expression click:
brainly.com/question/14083225
#SPJ6
I need help and im mad beacuse i didnt get to get out the house because im stuck on this
Answers
Answer:
10 inches
Step-by-step explanation:
Pleas answer DO NOT GIVE EXPLINATION
Answers
Answer:
At least one pair of parallel sides- trapezoid
two pairs- parallelogram
four right angles- rectangle
four right angles and four equal sides- square
four equal sides-rhombus
Step-by-step explanation:
What decimal is equivalent to 3%?
a
3.0
b
.003
c
.3
d
.03
Answers
Answer:
D
Step-by-step explanation:
Percent is out of a hundred.
3%=3/100 which is .03
Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).
Which instructions did you include in your explanation? Check all that apply.
Identify the input.
Identify the output.
Create a table for four input values.
Plot the points from the table.
Answers
The instructions that you would include in your explanation are:
Identify the output.
Create a table for four input values.
Plot the points from the table.
The instructions to be includedIn the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.
Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.
Learn more about ordered pairs here:
https://brainly.com/question/1528681
#SPJ1
Answer:1 to 2
2 to 4
Step-by-step explanation:
ASP PLZ
Select all the correct functions. Identify all the functions that have a greater rate of change than the function represented in the graph. y=2x+7 y=1.5x+1 y=0.5x-5 y=2.5x-20 y=3x+12 y=x-7
Answers
Answer: y=3x+12
Step-by-step explanation: because 12 has more value to it than the others
What is the solution to the equation -6x -11=19
Answers
Answer: answer for this question is -5 x is -5 plsss mark me brainlys
Step-by-step explanation:
add 11 to both sides
-6x-11=19
-6x=19+11
-6x=30
x=30/-6
x=-5
Two furniture stores have the same sofa and chair for sale. Prices for the furniture and a special offer are given in the table. If Sam plans on having his furniture delivered, which store offers the better deal and how much is saved?
a. Value Furniture - $25 saved
b. Value Furniture - $100 saved
c. M & R Furniture - $25 saved
d. M & R Furniture - $75 saved
Answers
For Value Furniture:
- The cost of the sofa is $500
- The cost of the chair is $300
- The special offer is 10% off
- The delivery cost is $75
So, the total cost at Value Furniture is:
($500 + $300) - 10%($500 + $300) + $75 = $825 - $80 + $75 = $820
For M & R Furniture:
- The cost of the sofa is $550
- The cost of the chair is $250
- The special offer is free delivery
So, the total cost at M & R Furniture is:
$550 + $250 = $800
Therefore, the better deal is at M & R Furniture, where the total cost is $800. At Value Furniture, the total cost is $820, so Sam can save:
$820 - $800 = $20 at Value Furniture
Therefore, the answer is:
a. Value Furniture - $25 saved (incorrect)
b. Value Furniture - $100 saved (incorrect)
c. M & R Furniture - $25 saved (incorrect)
d. M & R Furniture - $75 saved (incorrect)
None of the options given are correct. The correct answer is that M & R Furniture offers the better deal and Sam can save $20 by purchasing from Value Furniture.
PLS HELPPPPPP *100 POINTS***
Answers
Answer:
6.9 if a triangle pyramid
Step-by-step explanation:
If triangle pyramid,
1/3(b)(h)
1/3(200)(h)=460
h=6.9
Need answer real quick due today
Answers
Answer:
+7 or -7
Step-by-step explanation:
25^2 - 24^2 = b^2
625 - 576 = b^2
49 = b^2
+7 or -7 = b
Answer:
b =-7 , b=7
Step-by-step explanation:
Pls help due in an hour
Answers
Answer:
4) Yes
5) Yes
6) Yes
7) No
Step-by-step explanation:
4) When we look at the table in the question, we can see the pattern is comics x 3 = price.
We know the definition of a proportional relationship is when one number is increased, the other is as well. So, it is in a proportional relationship.
5) We do the same thing here, we notice that we can divide the number of bikes by 5 to get the number of trips.
So, this is a proportional relationship.
6) The same reasoning applies to 6, we can see they follow a pattern.
7) All of them can be multiplied by 2, except the last one can't, so this is NOT a proportional relationship.
A researcher posts a newspaper advertisement offering $20 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) a It is not a valid sample because it is only a short study. b It is a valid sample because money was offered to participants. c It is a valid sample because the first five people were selected to participate. d It is not a valid sample because it is not a random sample of the population.
Answers
Answer:
C : VALID
Step-by-step explanation:
Step by step Explenantion-
PLLZZZZZZZ HELP I WILLL GIVE BRAINLIEST TO THE FIRST ONE TO ANSWER
Answers
Answer:
positive
Step-by-step explanation:
HELP WILL MARK BRAINIEST
What is the median for the set of data?
71
70
72
74
Answers
Answer:
Step-by-step explanation:
To find the median, we need to arrange the data in ascending order:
70, 71, 72, 74
Since the data set has an even number of values, the median is the average of the two middle values. In this case, the two middle values are 71 and 72. Therefore, the median is:
(71 + 72) / 2 = 143 / 2 = 71.5
So, the median for the given set of data is 71.5.
find the value of x:
6x=36
Answers
Answer:
6 answer to the questions
Step-by-step explanation:
6x=36
x=36/6
x=6
In this problem, we need to use division method to solve the problem.
36 ÷ 6 = 6
We get:
x = 6
Hope this helps :)
what value of x makes this equation true -(x+3)=2(x-3)
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:
Step 1: Distribute the negative sign on the left side of the equation:
-(x + 3) = 2(x - 3)
=> -x - 3 = 2(x - 3) (using the distributive property)
Step 2: Expand the right side of the equation:
-x - 3 = 2x - 6
Step 3: Add x to both sides of the equation to isolate the x term on one side:
-x + x - 3 = 2x + x - 6
=> -3 = 3x - 6
Step 4: Add 6 to both sides of the equation:
-3 + 6 = 3x - 6 + 6
=> 3 = 3x
Step 5: Divide both sides of the equation by 3 to solve for x:
3/3 = 3x/3
=> 1 = x
So, the correct value of x that makes the equation true is B. 1.
PLEASE MARK BRAILYISTT :D
Answer:
B, one
Step-by-step explanation:
In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.
Select all of the prime numbers from the list that can divide the number 15 exactly.
A 2
B 3
C 5
D 7
E 11
F 13
G 17
H 19
I 23
Answers
Answer: B3 and C5
Step-by-step explanation: The prime factors of 15 are 3 and 5 (because 3×5=15, and 3 and 5 are prime numbers).
Mark me brainliest!
Answer:
B 3 and C 5
Step-by-step explanation:
help and thank you its due in one hour
Answers
Answer: 2.269
Step-by-step explanation:
:)
Answer:
i do belive that the answer is.....2.269 Hope that i answered in time Step-by-step explanation:
All that you have to do is subtract them
The graph of an exponential function y=ab^x, if 0 0 and x>0.
True or False?
Answers
Im going to say falseStep-by-step explanation: