solve the following quadratic equation for all value of c i'm simplest form
5(x-2)^2=20
Answers
Answer:
x=-2 and x=0
Step-by-step explanation:
5(x-2)^2 = 20; divide by 5 both sides
(x-2)^2 = 4; take the square root of both sides
(x-2) = ±2, now set it equal to positive 2 and negative 2
x-2 = 2
x=4
AND
x-2 = -2
x=0
Answer:
The values of x is 0 and 4.
Step-by-step explanation:
You have to divide 5 by both sides;
[tex]5 {(x - 2)}^{2} = 20[/tex]
[tex] {(x - 2)}^{2} = 4[/tex]
You have to expand the brackets;
[tex] {x}^{2} - 4x +4 = 4[/tex]
[tex] {x}^{2} - 4 x = 0[/tex]
You have to factorize;
[tex]x(x - 4) = 0[/tex]
Lastly, you have to solve it;
[tex]x = 0[/tex]
[tex]x = 4[/tex]
Related Questions
Please help!
Karl bought 312 gallons of milk that cost $2.70 per gallon.
What was the total cost of the milk?
Enter your answer in the box.
$
Answers
Answer:
you have to divide the gallons with the money per gallon
Step-by-step explanation:
Answer:
$842.40
Step-by-step explanation:
2.70 x 312
A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden?
1. 2x + 2
2. 3x + 4
3. 6x + 8
4. 8x + 8 – 2x
Answers
Answer:
2. 3x + 4
Step-by-step explanation:
What we know:
w=x
Perimeter (p) = 8x+8
Formula for perimeter p =2(L+W)
8x+8 = 2(L+W)
L+W is half, so
L+W = 4x+4
Substract W on both sides;
L = 4x+4 -W
We know that W = x
So
L= 4x+4-x
4x-x= 3x
L= 3x+4
Which situation best describes a positive correlation? Group of answer choices The height of a candle and the amount of time it stays lit. The price of a pizza and the number of toppings added. The temperature of a cup of hot chocolate and the length of time it sits. The amount of rainfall on Fridays.
Answers
Answer:
The correct option is;
The price of a pizza and the number of toppings added
Step-by-step explanation:
A positive correlation is one in which the variables being correlated, progress in the same direction, such that an increase in one variable will lead o an increase in the other variable;
The price of a pizza depends on the size of the pizza and the price increases for each additional topping added, such that the price of the pizza will increase as the number of toppings is increased
The variable, the height of the candle and the variable, the length of time it stays on, are positively correlated because, the two variables depends on each other whereby the time it takes to completely burn a candle increases as the length of the candle increases, however, the candle can be put out depending on usage, even if it can stay lit for a longer period of time.
The following are the ages (years) of 5 people in a room:
21, 24, 18, 15, 15
A person enters the room.
The mean age of the 6 people is now 16.
What is the age of the person who entered the room?
Answers
Answer:
3 years old
Step-by-step explanation:
( 21 + 24 + 18 + 15 + 15 + x ) / 6 = 16
93 + x = 96
x = 3
The person who entered the room is 3 years old.
Answer:
3 years old
Step-by-step explanation:
x= age of the person who entered the room
The sum of 21,+ 24,+ 18,+ 15,+ 15 = 93
(93+x ) divided into 6 = 16
Multiply both sides by 6
93+x = 96
x=3
93+3= 96
96/6 = 16
Could someone please assist me with this vocabulary worksheet
Answers
Answer:
don't take my word for it
Step-by-step explanation:
1. J
2. E; exponent tells us how many times a number is used as a factor
3. L; if the GCF of a fraction is 1, then we cannot simplify it further.
4. C; Binary, means something w/ 2 components (0s and 1s in this case).
5. same as 12, crossed out
6. G
7. I
8. K
9. M
10. D; Divisible, by definition (no remainder/trailing digits e.g.: 1.3495).
11. A; Algebraic factor, it has common symbols used in algebra (e.g.: x)
12. crossed out
13. E; exponent, when we have [tex]3^x[/tex], x is the number telling us this.
Kiran says that -2 < -5 . Do you agree with Kiran
Answers
Answer:
No
Step-by-step explanation:
-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.
Answer:
no
Step-by-step explanation:
I took a test and this question was on it and the answer was no.
HELP ASAP RIGHT ANSWERS ONLY
You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week?
Answers
Answer:
my last 2 braincells trying to understand this question
Step-by-step explanation:
how to completely factor 4x²-2x
Answers
Answer:
2x(2x-1)
Step-by-step explanation:
[tex]4 {x}^{2} - 2x \\ \\ = 2x(2x - 1) \\ [/tex]
Help me?! Solve for x
Answers
Answer:
3
Step-by-step explanation:
180-75
105
105-3
102
102/34
3
Answer:3
34x+3+75=180
34x=180-78
34x=102
x=102/34
x=3
Brandon buys a radio for $45.85 In a state where the sales tax is 7%.
Answers
Answer:
Step-by-step explanation:
45.85*7%= 3.21 tax
45.85+3.21=49.06 total
One state that has a 7% sales tax is Texas.
whats the answer for (1 + 1 x 15 /3)sqr2
Answers
Answer:
Answer should be 36
Step-by-step explanation:
I used a calculator, thought I'm not 100% sure what your question is. Please correct me if i'm wrong.
If AB = 5 feet, BC = 11 feet, and CD = AB, What is the length of AD?
Answers
It really helps if you draw a illustration if AB=CD then 5+5 and BC= 11 so 5+5+11 and then the entire length is AD so the sun of the summers gives you you answer
I don't understand this
Answers
Answer:
y=2/3x+3
Step-by-step explanation:
First, you would use the point slope formula : y₂-y₁/x₂-x₁
(5--3)/(3--9)
=8/12
=2/3
Then you would plug it back into the equation along with one of the points. Ex:
-3=2/3(-9)+b
-3=-6+b
3=b
So in conclusion, the formula would come out to y=2/3x+3
Hope this helps! :)
Jaime will choose between two banquet services for a party. Service A charges a $ 500 organization fee plus $ 25 for each guest. Service B charges a $ 200 organization fee plus $ 30 for each guest. what is the cost of one guest?
Answers
Answer:
Service B
Step-by-step explanation:
Beacuse it is taking less money
Will give brainliest if correct.
Answers
Step-by-step explanation: The x-intercept is
the point where a line crosses the x-axis.
So the x-intercept for the line on the graph is (7, 0).
All x-intercepts have a y-coordinate of zero.
The y-intercept is a point where a line crosses the y-axis.
So the y-intercept for the line on the graph is (0, 5).
All y-intercepts have a x-coordinate of zero.
20 POINTS An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C=65+60t, where t is the number of hours the electrician spends at the house working. What is the slope of the equation and what is its interpretation in the context of the problem?
Answers
Answer:
[tex]the \: slope \: is \to \boxed{60}[/tex]
Step-by-step explanation:
[tex]if \to C=65+60t \\ C=60t + 65 \\ but \: the \: \boxed{ c - intercept} \: is \: in \: the \: form \to \\ c = mt + b \\ hence \to \\ 60t = mt \\ m = \frac{60t}{t} \\ m = 60 \\ the \: slope \: is \to \boxed{60}[/tex]
We want to analyze the given linear equation, we will find that the slope is 60, and it means that he charges 60 per hour.
Linear equations:
A general linear equation is written as:
y = a*x +b
Where a is the slope and b is the y-intercept.
In this case, we have the equation:
c(t) = 60*t + 65
Is easy to identify that the slope is equal to 60.
Given that we know that he charges per hour, and that t represents the number of hours that the electrician worked, we can assume that the slope represents how much the electrician charges per hour.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/14323743
Shanika and Vanesa are comparing their electric bills for the past month. Shanika is on a standard u
is on an interval use plan. Each person's usage is listed on the chart below:
Standard Use Plan
7.5 cents/kWh for the first 400 kWh
10 cents/kWh for the next 400 kWh
12.5 cents/kWh for anything over 800 kWh
Interval Use Plan
On-peak hours - 15 cents/kWh
Off-peak hours - 3 cents/kWh
Both women use 1,325 kWh for the given 30 day period. Vanesa uses 500 kWh during on-peak hours
peak hours. Which person ends up paying more for their utilities? How much more?
a. Vanesa pays $35.88 more than Shanika.
b. Vanesa pays $99.75 more than Shanika.
C. Shanika pays $35.88 more than Vanesa.
d. Shanika pays $99.75 more than Vanesa.
Answers
Answer:
C
Step-by-step explanation:
EDGE2021
Hey everyone
I just need help with this one question
I looked it up and I didn't see it anywhere
Btw this is on TTM
Answers
Answer:
She will dive 30 meters below sea level
Step-by-step explanation:
0 is the sea level, so that means 0-30 meaning she will go 30 meters below sea level.
Which of the equations below can be solved by square roots? How would you solve the other equation? Explain your reasoning. Give the solutions to both equations. Equation A: x? - 9x = 0 Equation B : x2-9=0
Answers
Answer:
Equation A is factoring, x=9 and x=0
Equation B is the square root, x=3
The equation A: x² - 9 = 0 can be solved by square root method
The equation B: x² - 9x = 0 can only be solved by factoring
The given equations are:
Equation A: x² - 9x = 0
Equation B: x² - 9 = 0
The equation x² - 9 can be rewritten as:
x² - 3² = 0
This is a difference of two squares which can be further expressed as:
(x - 3)(x + 3) = 0
x - 3 = 0
x = 3
x + 3 = 0
x = -3
This shows that the equation x² - 9 = 0 has two roots x = -3 and x = 3
Also, from x² - 9 = 0
[tex]x = \pm\sqrt{9} \\\\x = \pm3[/tex]
For the equation x² - 9x = 0
This can be factored as x(x - 9) = 0
x = 0, x = 9
This is not solved by the square root method.
Therefore, the equation x² - 9 = 0 can be solved by square root method
Learn more here: https://brainly.com/question/18088242
,
[tex]33333 \div 2[/tex]
Answers
f(x) = x^2 - x^3
Select the value of f(-2)
A. -4
B. 4
C. -12
D. 12
Answers
Answer:
D
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x), that is
f(- 2) = (- 2)² - (- 2)³ = 4 - (- 8) = 4 + 8 = 12 → D
I need help bad please anyone I need this
Answers
Answer:
The answer is A because 144 - 121 = 23 so
Step-by-step explanation:
because 144 - 121 = 23
ahmad wrote two numbers. the frist number has a 7 in its tenth place. the second number has a 7 with a value that is 1,000 times greater than the value of the 7 in the frist number. in which place is the 7 in the second place
Answers
Answer:
Thousands
Step-by-step explanation:
You are pouring 50 pounds of sand into a wagon. The linear function y= 10x represents the weight y (in pounds) of the sand in the wagon after you have poured x bags of sand into the wagon. Which graph represents the situation?
Answers
Answer:
You have 50 lb of sand, and you are pouring this into a wagon.
We have the relationship:
y = 10lb*x
Where x is the number of bags of sand that you poured into the wagon.
We know that in total, you have 50 lb of sand, then let's find the domain of this function (Domain is the set of the possible values of x)
The minimum will be when x = 0, you poured 0 bags at this point.
And the maximium will be when y = 50lb
y = 50lb = 10lb*x
50lb/10lb = x = 5
Then the domain is 0 ≤ x ≤ 5
Then we only will graph this in that range of values.
The graph will be something like:
A rental car company is running two specials. Customers can pay $50 to rent a compact car
for the first day plus $6 for each additional day, or they can rent the same car for $20 the
first day and $12 for every additional day beyond that. Nora notices that, given the number
of additional days she wants to rent the car for, the two specials are equivalent. How many
additional days does Nora want?
Write a system of equations, graph them, and type the solution
Answers
Answer:
After 5 additional days it will be equal
Step-by-step explanation:
1st special: 6x + 50
2nd special: 12x + 20
6x + 50 = 12x + 20
Subtract 20 from both sides;
6x + 30 = 12x
Subtract 6x from both sides;
30 = 6x
Divide both sides by 6;
x = 5
[AWENSERED] Which statements are true about the reduction of rectangle ABCD to rectangle A’B’C’D’? Check all that apply.
A ≅ A’
AB ≅ A’B’
CD = C’D’
BC = 3B’C’
D > D’
Answers
Answer: 1 and 4
Step-by-step explanation: just did it
Answer:
1 and 4
Step-by-step explanation:
because yes
totally doesn't say it
Solve LaTeX: \frac{3}{5}k - 5 = \frac{7}{10}k
3
5
k
−
5
=
7
10
k
by eliminating the fraction. Explain how you determine what to multiply each term by and all the steps to solving the equation.
Answers
Answer:
k=2
Step-by-step explanation:
(3/5k)-5=7/10k
we multiple both sides by 10k to get only one k
10k(3/5k)-5 = 7
(30k/5k)-5 =7 now we add 5 to other side and simplify our k fraction
6k= 12 divide by 6
k=2
PLEASE SOLVE, IN A HURRY
the answer is 55
will name BRAINLIEST!!!
Answers
Answer:
34,48
Step-by-step explanation:
Help me solve the following question.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with
infinite solutions
no solution
Answers
Answer:
2
Step-by-step explanation:
pls help will mark brainliest if correct
Answers
Answer:
the answer should be clld i am pretty sure
Step-by-step explanation:
