x^2 - 6x + 1 = 0 by completing the square
Answers
Answer:
See below.
Step-by-step explanation:
x^2 - 6x + 1 = 0
x^2 - 6x = -1
We halve the coefficient of x (which is -6/2 = -3) and square it, then add this to both sides:-
x^2 - 6x + (-3)^2 = -1 + (-3)^2
x^2 - 6x + 9 = -1 + 9
(x - 3)^2 = 8
x - 3 = ±√8
x = 3 ± √8
= 0.17, 5.83 to 2 decimal places.
Answer:
[tex]x = - 2 \sqrt{2} + 3 \\ or \\ x = 2 \sqrt{2 } + 3[/tex]
Related Questions
Please help me I beg u
Answers
Answer:
a. 36
b. 54
c. 2
d. 3
Step-by-step explanation:
a. [tex]6^{2}[/tex]
Calculate 6 to the power of 2 and get 36.
6 x 6 =
36
b. 56 + -2
Subtract 2 from 56 to get 54.
56 - 2 =
54
c. 6 + -[tex]2^{2}[/tex]
Calculate 2 to the power of 2 and get 4.
6-4
Subtract 4 from 6 to get 2.
2
d. [tex]\frac{-2 + 20}{6}[/tex]
Add −2 and 20 to get 18.
[tex]\frac{18}{6}[/tex]
Divide 18 by 6 to get 3.
3
The height, h, in feet of a ball above the ground is given by h= -16t^2+64t+80, where t is the time in seconds. How long does it take the ball to hit the ground?
A) 3 seconds
B) 4 seconds
C) 5 seconds
D) 6 seconds
Answers
Answer:
It is 5 seconds option C
Step-by-step explanation:
When the ball would hit the ground, h would reduce 0.
We can equate the R.H.S to 0.
∴ 0= -16t²+64t+80
0 = t² - 4t - 5 (dividing both sides by -16)
0 = t²+t - 5t -5 (by splitting the middle term)
0 = t ( t+1) -5 (t+1)
0= (t-5) * (t + 1)
when t-5=0 ; when t+1=0
t =5 ; t= -1 time cannot be -ve
∴ t= 5 seconds
Hope this helps you.
Answer:
C) 5 seconds
Step-by-step explanation:
Given equation:
[tex]h=-16t^2+64t+80[/tex]
where:
h = height of a ball above the ground (in feet).t = time (in seconds).The ball hits the ground when the height is zero.
Therefore, substitute h = 0 into the given equation and solve for t.
[tex]\begin{aligned}\implies -16t^2+64t+80 & = 0\\-16(t^2-4t-5) & = 0\\t^2-4t-5 & = 0\\t^2-5t+t-5&=0\\t(t-5)+1(t-5)&=0\\(t+1)(t-5)&=0\\\end{aligned}[/tex]
Apply the zero-product property:
[tex]\implies t+1=0 \implies t=-1[/tex]
[tex]\implies t-5=0 \implies t=5[/tex]
As time cannot be negative, t = 5 only.
Therefore, it takes 5 seconds for the ball to hit the ground.
find the measures of the angles labeled in the figure on the right.
Answers
Answer:
3,4 the answer
What is the result of 3+3/5?
Answers
Answer:
18 / 5
Step-by-step explanation:
3
= 3 / 1
= ( 3 / 1 ) x ( 5 / 5 )
= ( 3 x 5 ) / ( 1 x 5 )
= 15 / 5
3 + 3 / 5
= 15 / 5 + 3 / 5
= ( 15 + 3 ) / 3
= 18 / 5
Answer:
[tex] fractional \: form \: = 3 \frac{3}{5}
\\ decimal \: form \: = 3.6[/tex]
So, I have a math problem, the problem is,16x^0+2x^2*y^-1,How do I solve if x = 2 and y = 4?
Answers
Answer:
Given x = 2 and y =4
so 16[tex]x^{0}[/tex]+2[tex]x^{2}[/tex][tex]y^{-1}[/tex]
= 16*[tex]2^{0}[/tex] + 2*[tex]2^{2}[/tex]*[tex]4^{-1}[/tex]
= 16 + (2*4)/4
=16 + 8/2
16 + 2
=18
Step-by-step explanation:
The product of sum and difference of two binomial like (x+y) and (x-y) isof two squares. (FERFENCEID)
Answers
The product of sum and difference of two binomial like (x+y) and (x-y) is x² - y²
The first number = x
The second number = y
The sum of the two numbers = x + y
The difference of the two numbers = x - y
The product of the sum and the difference = (x+y)(x -y)
Note that the product of the sum and the difference = (x + y)(x - y)
This can be expanded by distributivity as shown below:
(x + y)(x - y) = x² + xy - xy - y²
(x + y)(x - y) = x² - y²
This is the difference of two squares.
Therefore, the product of sum and difference of two binomial like (x+y) and (x-y) is x² - y²
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find the midpoint and distance between (5,1) and (-15,11)
Answers
Answer:
look i think is -5.005 I don't really know but I hope you get it right. Have a good day
Determine the intercepts of the line. Do not round your answers. 2 x + 5 y = − 6
Answers
The y-intercept for the line, 2x + 5y = -6, is: 1.2.
Equation of a Line in Slope-Intercept FormThe equation of a line can be represented in slope-intercept form as: y = mx + b."b" is the y-intercept.Given:
2x + 5y = -6
Rewrite in slope-intercept form
5y = -2x - 6
Divide both sides by 5y = -2/5x - 6/5
"b" = -6/5 = 1.2
Therefore, the y-intercept for the line, 2x + 5y = -6, is: 1.2.
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The points H, I, J and K all lie on the same line segment, in that order, such that the
ratio of HI:IJ: JK is equal to 3: 3:4. If HK - 40, find IJ.
Answers
Answer:
IJ = 12
Step-by-step explanation:
sum the parts of the ratios, 3 + 3 + 4 = 10 parts
Divide HK by 10 to find the value of one part of the ratio.
40 ÷ 10 = 4 ← value of 1 part of ratio , then
IJ = 3 parts = 3 × 4 = 12
At a community center, you want to rope off an area that id adjacent to a building. The length of the building is 10 ft. You have 42 ft. Of rope. What are the possible widths of the roped off area.
Answers
Answer: 1 by 20, 2 by 19, 3 by 18, 4 by 17, 5 by 16, 6 by 15, 7 by 14, 8 by 13, 9 by 12, 10 by 11.
3+3+3+34+5+6+7+7+[tex]2+2[/tex]
Answers
Answer:
72
Step-by-step explanation:
Hope it helped brainiest plz
If a girl says she likes you but then throws a moldy apple at ur head then laughs abt it and then say she was messing does she really like ya
Answers
nooooooooo yuppp
lablots
HELP
15.4 = -2.1 + a/0.2
i'll give brainliest
Answers
A 4.0-kg cart moving due east at 9.0 m/s collides with a 3.0-kg cart moving due west. The carts stick together and come to rest after the collision. What was the initial speed of the 3.0-kg cart?
Answers
Since the carts stick together and come to rest after the collision, the initial speed of the 3.0-kg cart is 12 m/s.
Given the following data:
Mass of cart 1 = 4.0 kgVelocity of cart 1 = 9.0 m/sMass of cart 2 = 3.0 kgTo find the initial speed of the 3.0-kg cart, we would apply the law of conservation of momentum:
For a perfectly inelastic collision:
[tex]M_1V_1 - M_2V_2 = V_f(M_1 + M_2)[/tex]
When the carts stick together and come to rest after the collision, the final velocity is zero (0).
[tex]M_1V_1 - M_2V_2 = 0\\\\M_1V_1 = M_2V_2\\\\V_2 = \frac{M_1V_1}{M_2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]V_2 = \frac{4(9)}{3}\\\\V_2 = \frac{36}{3}[/tex]
Initial speed = 12 m/s
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can someone see if i did them right?
Answers
Answer:
Yes your answer is right. You did well
Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for extraneous solutions.
No solution
x = 0 and x = −2
x = −2; x = 0 is an extraneous solution
x = 0; x = −2 is an extraneous solution
Answers
The value of x in the equation [tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex] are x = 0 and x = -2
How to solve the rational expression?The expression is given as:
[tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex]
Cross multiply
[tex]x(x - 2) =2 * x^2[/tex]
Open the bracket
[tex]x^2 - 2x =2x^2[/tex]
Collect like terms
[tex]- 2x =2x^2 - x^2[/tex]
Evaluate the like terms
[tex]- 2x =x^2[/tex]
Rewrite as:
[tex]x^2 + 2x =0[/tex]
Factor out x
x(x + 2) =0
Expand
x = 0 or x + 2 = 0
Solve for x
x = 0 or x = -2
Hence, the value of x are x = 0 and x = -2
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The speed of sound is about 3.4 x 10^2 meters per second. Mark is performing a science experiment and he needs to know how far sound travels in
3 x 10^10 seconds. If mark uses a calculator to solve his problem, how will the calculator show his answer?
Answers
Answer:
no it will not show the awning and powerful than you HA the same time as an event on Friday and powerful than you HA
In a river, a trout passed beneath a woman who was swimming at 1,800 centimeters per minute. The trout swam 8,000centimeters directly upstream at a constant velocity. It swam that distance in 0.8minutes. What was the trout's velocity?
Write your answer as a whole number.
centimeters per minute upstream
Answers
Answer:
It would approximately be 3.73 m/h
Step-by-step explanation:
0.8 mins is 48 seconds
I then divided 8000 by 48 seconds to see how many cm it traveled per second.
It traveled 166.666666667 cm per second
I then converted cm to feet
so it was 5.468066491699474 feet per second
I then converted feet to miles, so it was 0.0010356186537309611598 miles per second.
Then I multiplied it by 60 so it was 0.06213711922 miles per minute.
Finally I multiplied it by 60 again to make it 3.72822715343 miles per hour.
I rounded it to the nearest hundredth making it 3.73 m/h
The length of a rectangle is 5 in longer than its width.
If the perimeter of the rectangle is 74 in, find its length and width.
Answers
Answer:
Length = 21
Width = 16
Step-by-step explanation:
We know that the formula for perimeter is:
P=2W+2L
And we also know that:
L=W+5
So then we put all that we know in the formula:
74=2W+2(W+5)
Now we expand the brackets and do some algebra:
74=4W+10 (-10)
64=4W (÷4)
16=W
Now that we know the width we can pop that into the length equation:
L=16+5
L=21
Determine the product of the binomial -5x-7 and the trinomial
3x2-4x-5. To earn full credit, show your work using a method explained in
the Orientation
Answers
Answer:
[tex]( - 5x - 7)(3 {x}^{2} - 4x - 5) \\ \\ - 15 {x}^{3} + 20 {x}^{2} + 25x - 21 {x}^{2} + 28x + 35 \\ \\ - 15 {x}^{3} + 20 {x}^{2} - 21 {x}^{2} + 25x + 28x + 35 \\ \\ = - 15 {x}^{3} - {x}^{2} + 53x + 35[/tex]
I hope I helped you^_^
compounds are pure substances. What other substances are considered pure substances? A: chemical reactions B: elements C: mixtures D: solutions
Answers
Answer:
Step-by-step explanation:
B
pls answer the question below
Answers
I hope it’s right
Solving Two Step Equations
9x + 6/3 = 5x + 2
Answers
Answer:
x = 0
Step-by-step explanation:
In this case it isn't exactly 2 steps, but you can still solve it.
First, simplify. Divide 6 with 3:
9x + (6/3) = 5x + 2
9x + 2 = 5x + 2
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2 and 5x from both sides:
9x (-5x) + 2 (-2) = 5x (-5x) + 2 (-2)
9x - 5x = 2 - 2
4x = 0
Divide 4 from both sides of the equation to isolate the variable, x:
(4x)/4 = (0)/4
x = 0/4 = 0
x = 0 is your answer.
~
Answer:
4x+5
Step-by-step explanation:
9x+6/3=5x+2=9x-5x=4x+3+2=4x+4
To rent movies from the
store, a person has to pay an
annual membership fee of
$20 plus $2.50 for each movie
rented.
n 2017 Marie De Los Reyes. "A
Answers
The equation is y=2.50x+20.
You and a friend are discussing how many sections you completed so far in algebra one you tell your friend I finish three times as many sections as you your friend replies you’ve only finished four more sections and I have how many sections have you and your friend completed
Answers
Answer:
4
Step-by-step explanation:
There are a total of 6 sections that have been completed by him and his friend.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the section be finished by one is y, and finished by his friend be x.
According to 1st condition,
y = 3x - - - - - (1)
According to the second condition,
y = 4 + x
From equation 1
3x = 4 + x
2x = 4
x = 2
Now,
y = 3x
y = 3 * 2
y = 6
Thus, there are a total of 6 sections that have been completed by him and his friend.
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Which number line represents the solution to the inequality below? *PLEASE ANSWER AND SHOW ALL WORK*
Answers
0.12222 as a fraction
Answers
100x=12.2222
10x=1.2222
90x=11
x=11/90
0.12222=11/90
what is the value of x 3/6x+9 =12
Answers
Answer:
x=6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
How can 7 1/5+-8 3/5 be expressed as the number of its integer and fractional parts?
A) -7+ -8+-1/5+-3/5
B) 7+ -8+1/5+-3/5
C) 7+ -8+1/5+3/5
D) -7+ -8+1/5+3/5
Answers
Answer:
-7/5
Step-by-step explanation:
7×5=35
35+1=36
7 1/5 = 36/5
8×5=40
40+3=43
8 3/5 = 43/5
36/5 - 43/5 = 36-43/5=-7/5
Answer:
7 +(-8) +1/5 +( -3/5 )
Step-by-step explanation:
I got it correct!
To make papier-mâché, Emma uses 3/4 cup of white school glue for each batch. For a big project, she will make 11 batches of papier-mâché. Emma has half of 1-gallon bottle of white school glue. Does Emma have enough glue?
Answers
Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.
Note that 1 gallon = 16 cups
Since Emma has half of 1-gallon bottle of white school glue, this means that she has 1/2 × 16 = 8 cups
Since Emma uses 3/4 cup of white school glue for each batch, therefore the number of batches that van be made with 8 cups will be:
= 8 ÷ 3/4
= 8 × 4/3
= 10 2/3
Therefore, Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.
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