Step-by-step explanation:
x² + 6x + 1 = 0
(x + 3)² - 8 = 0
(x + 3)² = 8
x + 3 = √8 or x + 3 = -√8
x = √8 - 3 or x = -√8 - 3
x = -0.17 or x = -5.83.
The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.
As per the given quadratic equation,
x² + 6x + 1 = 0
Make the whole square as
(x + 3)² - 8 = 0
(x + 3)² = 8
x + 3 = √8 or x + 3 = -√8
x = √8 - 3 or x = -√8 - 3
x = -0.17 or x = -5.83.
Hence "The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83".
For more about the quadratic equation,
https://brainly.com/question/17177510
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What’s this? I need help
Answer:
Its PS equals QR: A
Step-by-step explanation:
mark my qustions brainly pleaseeeeeeeeeeeeeeeeeeeee
Answer:
what do you mean
Step-by-step explanation:
Which statement explains how the lines x − y = 2 and y = x + 1 are related?
1. They are parallel.
2. They are perpendicular.
3. They are the same line.
4. They are not related.
Answer:
4, they are not related
Step-by-step explanation:
x - y = 2 and y = x + 1
x - y = 2
subtract x
-y = 2 - x
divide by the negative
y = -2 + x or y = x - 2
they are not related
Answer:
The Answer Is A) they are parallel
Step-by-step explanation: i took the test and it was right i hope i helped!
What mistake did Brianna make? On Line 1, Brianna should have subtracted 3 instead of adding -3. On Line 1, Brianna violated the addition property of equality. On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1. On Line 3, Brianna violated the addition property of equality.
Question:
Brianna solved a two-step equation, but she made a mistake along the way.
[tex]0.1x + 3 = 1.7[/tex]
Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]
Line 2 : [tex]0.1x = -1.3[/tex]
Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]
Line 4: [tex]x = -1.4[/tex]
Answer:
On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.
Step-by-step explanation:
Required
Where did she make a mistake?
To do this, we simply analyse her workings one step at a time
Equation: [tex]0.1x + 3 = 1.7[/tex]
Line 1 : [tex](-3) + 0.1x + 3 = 1.7 + (-3)[/tex]
This is correct because she subtracted 0.3 from both sides
Line 2 : [tex]0.1x = -1.3[/tex]
This is also correct because she performed the arithmetic correctly
Line 3 : [tex](-0.1) + 0.1x = -1.3 + (-0.1)[/tex]
This is incorrect.
Division by 0.1 is expected not subtraction
Answer:
It's C
Step-by-step explanation:
Simplify the following by combining like terms:
1y - 8xy + 7x - 5y + 4xy + 9x
Answer:
-4y-4xy+16x
Step-by-step explanation:
Hope this helps!! If you need it step by step I'll comment it in the comments.
Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm. and please explain how you got it :)
Answer:
12.5 cm
Step-by-step explanation:
An equalateral triangle is one with all the sides the same length.
Solve for z.
Z/4 - 11= -9
Z=
Answer:
8
Step-by-step explanation:
z/4 - 11 = -9
z/4 = 2
z = 8
The price of a pair of shoes increases from $67 to $79. What is the percent increase to the nearest percent?
The percent increase is
19.
Answer: 17.9%
Step-by-step explanation:
Does the order of operations apply to algebraic expressions?
Answer:
yes it does for algebraic expressions
√−100 = ___+ ___i
what is this?? the lesson is called simplifying square roots of negative numbers.
Answer:
√−100 = 0 + 10i
Step-by-step explanation:
i is equal to the square root of -1
change sqrt(-100) to sqrt(-1) * sqrt(100)
i * 10
10i
!!! PLEASE I NEED HELP ASAP!!!
What is the domain of the following function?
Hey guys please help!!
Answer:
SAS
Step-by-step explanation:
the lines in the middle of a segment mean that they are equal in length.
So OE = EB and AE = EC.
Now, since angle AEB and angle DEC are vertical angles, they are equal.
Therefore the triangles are equal by SAS
What percent of offspring will be brown eyed?
25%
50%
75%
100%
Please I need help
Answer:
100%
Step-by-step explanation:
they are all Bb. the capital B means that it is a dominant gene and the lowercase b won't "beat" the dominant gene. So they will all be brown
What number is 5/8 more than 3/16 ? Show how you calculated your answer.
Answer:
10/16
Step-by-step explanation:
Find the common factor between both
5/8 = 10/16
10/16 > 3/16
Simplify the problem in the picture
Answer:
[tex]\frac{n^{10} }{27m^{5} }[/tex]
Step-by-step explanation:
4(1-2b)+7b-10
helpp please and please don't say use a calculator i need the answer cause i really need to pass
Answer:
if you're simplifying, it should be = -1b - 6
Step-by-step explanation:
1. 4(1-2b) + 7b -10 solve the parenthesis
2. 4 - 8b + 7b - 10 combine like(same) terms
3. 4 - 1b - 10 same as 2.
4. -1b - 6
The amount of water (in liters) in tank 1 after t minutes is 30t + 25. The amount of water (in liters) in tank 2 after t minutes is −20t + 1000. Find the time when the amount of water will be equal.
Answer:
The water amount will be equal at 19.5 minutes
Step-by-step explanation:
Here, we want to find the value of t when the water level in both tanks will be equal
We simply proceed to equate both ;
That will be;
30t + 25 = -20t + 1000
30t + 20t = 1000-25
50t = 975
t = 975/50
t = 19.5 minutes
help will give brainliest
Answer:
A the first one
Name the triangles that are similar, if any of them are.
Answer:
I think A and B as they both have 27- degree angles
Step-by-step explanation:
I MAY BE WRONG SORRY
Can anyone help me understand?? I genuinely don’t understand. Thank you!
9514 1404 393
Answer:
y = (1/4)x^2 -x -4
Step-by-step explanation:
When you are given a focus and a vertex, the equation of a parabola can be written as ...
y = (1/(4p))(x -h)² +k . . . . . . vertex (h, k); focus-vertex distance p
Here, the vertex is (h, k) = (2, -5) and the focus-vertex distance is 1. That means the equation of the parabola in vertex form* is ...
y = (1/4)(x -2)² -5
Expanding this equation, we get ...
y = (1/4)(x² -4x +4) -5 = (1/4)x² -x +1 -5
Then the standard form equation is ...
y = (1/4)x² -x -4
_____
* In the UK, and perhaps other places, the vertex form is referred to as "standard form." You need to be aware of the form that is being requested here. I have answered using the US version of "standard form." YMMV
Mary uses 212 cups of lemonade concentrate to make 20 servings of lemonade. How many servings can Mary make using 1 gallon of lemonade concentrate? Please include an explanation :)
Answer:
number of servings = 1.5
Step-by-step explanation:
1 gallon = 16 Cups
cups of lemonade concentrate : lemonade servings
212 cups : 20 servings
How many servings can Mary make using 1 gallon of lemonade concentrate
Let
x = number of servings
cups of lemonade concentrate : lemonade servings
16 cups : x servings
Equate both ratios to get x
212 : 20 = 16 : x
212 / 20 = 16 / x
Cross product
212 * x = 20 * 16
212x = 320
x = 320 / 212
= 1.5094339622641
Approximately 1.5 servings
number of servings = 1.5
help help help please ! :(
Answer: 5 units
Step-by-step explanation:
what is one and one so easy if you answer it correctly I will mark you brainiest
Answer: 3 Answers, It could be 11, It also can be the number 2, or it can be a foul shot in sports. Was I right? Or is the answer "one and one"
Step-by-step explanation:
What are the y values for the equation : y=0X-4 if x=-3
Note: Your equation expression seems a little unclear. So, I am assuming that your expression is
y = x - 4
The solution steps would anyway still clear your concept so that no matter what you can solve whatever the expression it is because the procedure remains the same.
Answer:
The value of y = -7 if x = -3
Step-by-step explanation:
Assuming the given the expression
[tex]y = x - 4[/tex]
Given that we have to find the value of y if x = -3.
so substituting x = -3 in the equation
[tex]y = x - 4[/tex]
[tex]y = (-3) - 4[/tex]
[tex]y = -3-4[/tex]
[tex]y = -7[/tex]
Therefore, the value of y = -7 if x = -3
The graph of the equation y = x- 4 is also attached below.
please help me please will give brainliest to anyone who is good
Answer:
D
Step-by-step explanation:
Number of days in school = 180-7 days missed = 173
Percent = Part/Whole x 100%
Percent = 173/180 x 100%
Percent = 96%
Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°
Answer:
x = 71°
Option B is correct answer.
Step-by-step explanation:
We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?
Solving:
[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]
So, we get x = 71°
Option B is correct answer.
Which inequality is true
A
B
C
D
Check picture
it would be a
Step-by-step explanation:
it would be a because you would have to subtract it
Answer:
C
Step-by-step explanation:
Pi is a bit bigger than three(3.141592...) 3x3 = 9, but 3 times anything bigger than it, is more than 9.
What is the polar form of -9-9i√3?
Answer:
18(cos(4pi/3) + i sin(4pi/3))
Step-by-step explanation:
step 1: find the modulus (|z|=√(a^2 + b^2)
|z|=√((-9)^2+(-9√3)^2)= 81+243= 324 => √324=18
step 2: find the argument using theta =tan^-1 (y/x)
theta=tan^-1((-9√3)/-9) = √3
the tangent value of √3 in the third quadrant has the degree measure of 240 and the radian measure of 4pi/3.
Now put them together!
Answer:
D
Step-by-step explanation:
Ed2021
Use the Distributive Property to write each expression in factored form. DO NOT determine the answer.
11) 6x2+ 6x3
12) -6x 2 + (-6) x3
13) 5x - 8x
Answer:
11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x
12) -6x^2 + (-6) x^3 = -6.x.x + (-6).x.x.x
13) 5x - 8x = 5.x -8.x
Step-by-step explanation:
Let us solve the question one by one.
11) 6x^2+ 6x^3
In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.
[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]
The factored form is:
[tex]= 6.x.x+6.x.x.x[/tex]
12) -6x^2 + (-6) x^3
Similarly, as 11
[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]
The factored form is:
[tex]=-6.x.x+ (-6).x.x.x[/tex]
13) 5x - 8x
We can clearly see that there is only one common factor in both terms which is x
[tex]5x = 5.x\\8x = 8.x[/tex]
The factored form is:
[tex]=5.x-8.x[/tex]
Hence,
11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x
12) -6x^2 + (-6) x^3 = -6.x.x + (-6).x.x.x
13) 5x - 8x = 5.x -8.x
Write an equation for each representation of a quadratic function given below.
Let, us assume that quadratic equation is :
[tex]y = ax^2 + bx + c[/tex]
Now, putting x = 0 and y = -4 :
[tex]c = -4[/tex]
Also, putting x = 1 and y = -3 :
[tex]ax^2 + bx + c =y\\\\a + b - 4 = -3 \\\\a + b = 1[/tex] ....2)
Also, putting x = 2 and y = 0 :
[tex]ax^2 + bx + c =y\\\\4a + 2b + c = 0\\\\4a + 2b = 4\\\\2a - b = 2[/tex]....3)
Solving equation 2 and 3, we get :
a = 1 and b = 0
Therefore, the quadratic equation is given by [tex]y = x^2- 4[/tex] .