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
Why does multiplying the input of a linear function change
only the slope while multiplying the output changes both the slope and the
y-intercept?
Answers
Answer:
Step-by-step explanation:
If we have a linear function and we multiply the input of the function, we aren't really changing the values of the function, we're changing the rate at which those values are reached.
E.g. if you look at the attached picture, we have [tex]f(x) = 2x[/tex] and [tex]f_2(x) = 4x[/tex], which is just [tex]f(2x)[/tex]. The value when the red line is x = 1 is half that of the value of the blue line when x = 1.
The values of the f(2x) line are reaching the values of f(x) twice as fast, meaning it has a slope of twice as much. However, it still grows through the same intercept.
If you're interested in the calculus behind this, look up the chain rule of derivatives.
However, when you start changing the output of the function, you're changing the entire equation. It's not the same line anymore.
the graph below shows a quadratic function f(x) and an absolute value function g(x)
which of the following x-values are approximate solutions to the equation f(x)=g(x)? select all that apply
Answers
Answer:
The x-values that are approximate solution of the equation [tex]f(x) = g(x)[/tex] are [tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex], respectively.
Step-by-step explanation:
From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for [tex]f(x) = g(x)[/tex], which are described below:
[tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex]
The x-values that are approximate solution of the equation [tex]f(x) = g(x)[/tex] are [tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex], respectively.
In ΔRST, \text{m}\angle R = (11x+3)^{\circ}m∠R=(11x+3) ∘ , \text{m}\angle S = (x+15)^{\circ}m∠S=(x+15) ∘ , and \text{m}\angle T = (2x+8)^{\circ}m∠T=(2x+8) ∘ . Find \text{m}\angle R.M∠R.
Answers
Answer:
<R = 124°
Step-by-step explanation:
Note that the sum of angles in a triangle is 180degrees. In a triangle RST
Given
∠R=(11x+3)°
∠S=(x+15)°
∠T=(2x+8)°
Required
∠R
First we need to get the value of x;
since <R+<S+<T = 180
11x+3+x+15+2x+8 = 180
11x+x+2x+3+15+8 = 180
14x+26 = 180
14x = 180-26
14x = 154
x = 154/14
x = 11°
get <R
Since <R = 11x+3
<R = 11(11)+3
<R = 121+3
<R = 124°
Hence the measure of <R is 124°
WILL GIVE BRAINIEST AND 20 POINTS AND 5 STARS !! NEED HELP ASAP, PLEASE EXPLAIN STEP BY STEP.Kole works in an electronic store. He estimates that he spends 42% of his pay in his own store. Write the decimal that represents the amount of pay he spends in the electronics store.
Answers
Answer:
0.42
Step-by-step explanation:
move the decimal point 2 to the left
8(4x-4)=-5x-32 pls help
Answers
Answer:
x= 0
Step-by-step explanation:
completely factor 1-100x^2
Answers
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b2 = ( a + b ) (a − b ) where a= 1 and b = 10 x . ( 1 + 10 x ( 1 − 10 x )
Step-by-step explanation:
A right triangle with leg lengths of 4 and 3 units has to be positioned in the
coordinate plane to write a coordinate proof. Which set of coordinates
would make the proof easier to complete?
Answers
Answer:(0,4),(0,0),(3,0)
Step-by-step explanation:
It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.
As in this answer has y intercept, and x intercept, and (0,0)
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment A double prime B double prime = segment AB over 2 segment AB = segment A double prime B double prime over 2 segment AB over segment A double prime B double prime = one half segment A double prime B double prime over segment AB = 2
Answers
Answer:
A. segment A double prime B double prime = segment AB over 2Step-by-step explanation:
Triangle ABC with coordinates of:
A = (-3, 3), B = (1, -3), C = (-3, -3)Translation (x + 2, y + 0), coordinates will be:
A' = (-1, 3), B = ( 3, -3), C = (-1, -3)Dilation by a scale factor of 1/2 from the origin, coordinates will be:
A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)Let's find the length of AB and A''B'' using distance formula
d = √(x2-x1)² + (y2 - y1)²AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13We see that
AB = 2A''B''Now the answer options:
A. segment A double prime B double prime = segment AB over 2
CorrectB. segment AB = segment A double prime B double prime over 2
Incorrect. Should be AB = A''B''*2C. segment AB over segment A double prime B double prime = one half
Incorrect. Should be AB/A''B'' = 2D. segment A double prime B double prime over segment AB = 2
Incorrect. Should be A''B''/AB = 1/2Answer:
A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
Brainliest
Answer: what is 123-12(324-234)
·ω·
Answers
Answer:
-957
Step-by-step explanation:
324-234=90
12*90=1080
123-1080=-957
** GIVING BRAINLIEST, A THANK YOU AND A 5 STARS***
SIMPLE QUESTION,
VIEW PIC
Which 3 Dimensional shape does Zorniah make?
Rectangular Prism
Square Pyramid
Triangular PrisM
Triangular pyramid
*view picture* Please help
Answers
Answer:
a triangular pyramid
Step-by-step explanation:
I just folded it in my head
this is because you can see that there are 4 triangles stacked on each other so that would be in conclusion a triangular pyramid also I looked on google cause I’m an idiot.
16. A negative number x a negative number is always positive. *
true
false
nositi
Answers
Answer:
True.
Step-by-step explanation:
I don't know the explanation behind any of it, but a negative number, when multiples by another negative number, is always positive.
0,1,-1,undefined ......
Answers
You substitute the given value into the function and then evaluate.
Hope this helped :)
true of false, LMN is a right triangle
Answers
Answer:
true
Step-by-step explanation:
because it is all correct
Answer:
True.
Step-by-step explanation:
A right triangle is a triangle with 90 degree angle, which would be the left side.
An expression is shown. 590.92 - 219.38 What is the value of the expression?
Answers
Answer:
371.54
Step-by-step explanation:
590.92 - 219.38 = 371.54
Value of the expression using the subtraction method is 371.54
What is Subtraction?Subtraction is an arithmetic operation that represents the operation of removing objects from a collection
Given expression,
590.92-219.38=371.54
Hence, the value of the expression is 371.54
Learn more about subtraction here
https://brainly.com/question/20671719
#SPJ2
What is 30% of 60? A. 0.18 B. 1.8 C. 18 D. 180
Answers
Answer:
C ) 18 hope this helps !!!
Answer:
C. 18
Step-by-step explanation:
If you multiply 30%, or .3 by 60, you get 18.
C.
tan(450)
Help please!
Answers
Answer:
The answer is 0
Step-by-step explanation:
Write the reciprocal of -2/7
Answers
Answer:
answer is -7/2
Step-by-step explanation:
what is the slope- intercept form of x+4y=16
Answers
Answer:
Y= -1/4x +4
Step-by-step explanation:
Slope intercept form is y=Mx+b
4y=16-x
Y= -1/4x +4
Daniel bought 8 pairs of socks and a tshirt. The t-shirt cost $15.
Write an equation for the Total Cost Let x = the price of socks. How much was each pair of
socks if the Total Cost was $31? Show all calculations/work.
Answers
Or
16 + 15 = 31
Not entirely sure if this is what you were asking for but I hope this helps!
A fruit jucie company includes 1.231 ounce of apple jucie in 6.65- ounces bottel of a mixied fruit jucie. How much of the bottel of mixied fruit jucie is NOT apple jucie? THANK YOU!
Answers
Answer: 81.49% of bottle of mixed fruit juice is NOT apple juice.
Step-by-step explanation:
Quantity of mixed fruit juice = 6.65 ounces
Quantity of apple juice in it = 1.231 ounce
Quantity of mixed fruit juice is NOT apple juice = (6.65-1.231) ounces
= 5.419 ounces
Fraction of bottle is not apple juice = [tex]\dfrac{5.419}{6.65}\approx0.8149=81.49\%[/tex]
Hence, 81.49% of bottle of mixed fruit juice is NOT apple juice.
Write an equation of the line that passes through (3, 4) and is perpendicular to the line
that passes through y = -1x +7.
Answers
the solution is in the pic below :)
Nava buys dinner for $56 how much will she pay including 15% tip?
Answers
She will have to pay a Total of $64.40
What is the equation of the line?
Answers
Answer:
y=2x=2
Step-by-step explanation:
bc the line is to the right and going up so it makes it positive and it crosses 2 on the y axis and it goes up 2 times each time
If Kayla buys 50 apples for $20 what is the unit rate?
Answers
Answer:
2.50 dollars an apple.
Step-by-step explanation:
Divide 50/20
Answer:
2.5 per apple
Step-by-step explanation:
50 ÷ 20=2.5
The function p is defined as p(x) = x2 – 3x. If the
function q is defined as q(x) = p(x) – 4, what is the
value of q(10) ?
A) -30
B) 6
C)
66
D) 70
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]q(x) = {x}^{2} - 3x - 4[/tex]
[tex]q(10) = ( {10})^{2} - (3 \times 10) - 4 [/tex]
[tex]q(10) = 100 - 30 - 4[/tex]
[tex]q(10) = 70 - 4[/tex]
[tex]q(10) = 66[/tex]
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Thus the correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
100 points---> true or false. my name is grace, my favorite sports are football and softball, and I'm a left handed utility player
Answers
Answer:
true
Step-by-step explanation:
I haven't a clue on what is going on here but I will act like I do
Answer:
I will say true
Step-by-step explanation:
Thanks for free points
James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposit
$50,000 into the account. How much will be in the account after 20 years?
a. $48,407.45
b. $90,600.15
c.$86,608.14
d.$80,894.18
Answers
Answer:
a. $48,407.45
b. $90,600.15
c.$86,608.14
d.$80,894.18
it cost $3.45 to buy 3/4 lb of chopped walnuts. how much would it cost to purchase 7.5 lb of walnuts
Answers
Answer:
$34.5
Step-by-step explanation:
4/3x3.45=4.6
7.5x4.6=34.5
The mass of the copper cube is 90 grams, the mass of the gold cube is 193 grams, and the mass of the silver cube is 105 grams. Which shows the metals in order from the lowest density to the greatest density?
Answers
Answer: copper, silver, gold
Step-by-step explanation:
Answer:
copper siver gold
Step-by-step explanation:
i had this question too
4 ice cream cones cost $6. At this rate, how much do 7 ice cream cones cost?
this is a test for middle schoolers but anyone is free to answer
Answers
Answer:
$42
Step-by-step explanation:
Equation: y = 6x
x = number of ice cream cones
y = 6(7) = 42
Hi! I believe your answer is $10.50. If it's $6 for 4 ice cream cones, divide 6 by 4 and you'll get 1.5, or $1.50 per ice cream cone. For 7 ice cream cones, multiply the unit rate ($1.50 per ice cream cone) by 7. The total cost is $10.50. I hope this helps you! Good luck and have a great day. ❤️✨