Answer:
Step-by-step explanation:
x=(1-sqrt(13))/2=-1.303
x=(1+sqrt(13))/2=2.303
steps
(2x2 - 2x) - 6 = 0
step 2 pull out like terms
2x2 - 2x - 6 = 2 • (x2 - x - 3)
step 2 continued
3.2 Factoring x2 - x - 3
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -1 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
step 3
2 • (x2 - x - 3) = 0
Step 4
4.2 Find the Vertex of y = x2-x-3
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 0.5000
Plugging into the parabola formula 0.5000 for x we can calculate the y -coordinate :
y = 1.0 * 0.50 * 0.50 - 1.0 * 0.50 - 3.0
or y = -3.250
step 4
4.4 Solving x2-x-3 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -1
C = -3
Accordingly, B2 - 4AC =
1 - (-12) =
13
Applying the quadratic formula :
1 ± √ 13
x = —————
2
√ 13 , rounded to 4 decimal digits, is 3.6056
So now we are looking at:
x = ( 1 ± 3.606 ) / 2
Two real solutions:
x =(1+√13)/2= 2.303
or:
x =(1-√13)/2=-1.303
concluision
x =(1-√13)/2=-1.303
x =(1+√13)/2= 2.303
PLEASE HELP !!!! I WILL GIVE BRAINLISET ! Find the volume of the sphere.
Either enter an exact answer in terms of pi or use 3.14, for π and round your final answer to the nearest hundredth.
Step-by-step explanation:
Volume = 4πr³/3
= 4•7³•π/3
=1372π/3
= 1372•3.14/3
≈ 1436.03 units³
to the nearest hundredth.
SEE IMAGE PLEASE !!!
Answer:
A. 38
Step-by-step explanation:
Diagonals of a rhombus bisect 90° at the center. Taking O to be the center :
90° + x° + (x +14)° = 180° [Angle Sum Property]2x + 104 = 1802x = 76x = 38Option A6 2+8×3=
btw the two is supposed to be above the 6 like if you said 6 to the second power
Answer:
60
Step-by-step explanation:
(* = multiplication symbol)
6^2+8*3
36+8*3
36+24
60
Answer:60
Step-by-step explanation:
Use bidmas
(Brackets Indices Division Multiplication Addition Subtraction)
so first do 6 squared =36
Then 8x3 =24
Then 36+24= 60
At a real estate agency, an agent sold a house for $382,000. The commission
rate is 5.5% for the real estate agency. The commission for the agent is 30%
of the amount the real estate agency gets.
Answer:
403010
Step-by-step explanation:
Because the rate is increasead and 30% is used as well as 5.5% and the restate agency gets $383,000
Find the radius of the circle in which the central angle arc=3 intercepts an arc of length is =6ft.
Answer: 2
Step-by-step explanation:
What is the value of x that makes 4(2x + 22.2) = 4(x – 17.87) true?
x=4.33
X=-13.36
O
Ob
Ос
Od
X=-40.07
x=40.07
Answer:
try youre best to complete youre succsess
WILL MARK AS BRAINIEST
14
43
Use a unit multiplier to convert 965 centimeters to meters.
a
Answer:
9.65 meters
Step-by-step explanation:
965 cm * 1 m / 100 cm = 9.65 m
Answer:
by multiplying the numbers
part A: Write the measure of each exterior angle directly on the diagram.
part b:What is the sum of the exterior angles of this pentagon?
Answer:
360°
Step-by-step explanation:
Sum of exterior angle of any polygon = 360
Sum of exterior angle of pentagon = 360
Let x be a real number satisfying the condition : √x²-9 · √x²-1 = 2x+3
Calculate the expression value : Q = √x²-1 · √x^2-4 - 3x
Answer:
x= 2
1 =0.5
x=0
Step-by-step explanation:
What are geometric sequences?
The formula for the area of a triangle is bh=A. Which of the following is not a possible first step to
rearrange this formula to find the base of the triangle?
Answer:
h = A ÷ b
Step-by-step explanation:
The base is to be the subject of formula not height so dividing through the equation by b to give h = A ÷ B is not a possible first step
help me here plss Fast
1. and 2. thanks ^^
Step-by-step explanation:
here you go hope it helps
Part B
Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit
you found in part A.
the equation in part A is x^3-4x^2+2 and when x=3 y=-7 so, (3,-7) is the point the equation for part B needs to pass through
The linear equation that has a slope of -7 and crosses the x-axis at (3, 0) is:
y = -7x + 21
How to find the linear equation?
A general linear equation is:
y = a*x +b
Where a is the slope and b is the y-intercept.
The slope must be equal to the limit found in part a, and you say that it is equal to -7, so the slope is -7. And for how is written the problem, I understand that it crosses the x-axis at x = 3.
Then we will have:
y = -7*x + b
Such that, when x = 3, y = 0, then:
0 = -7*3 + b
21 = b
Then the linear equation is y = -7x + 21
If you want to learn more about linear equations:
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Answer:
The line will pass through (3,-7) and has a slope of 3
Step-by-step explanation:
x=3 , f(x) = x^3 - 4x^2 + 2
f(3) = 3^3 -4(3)^2 + 2
f(3) = -7
Help me! I don't understand algebra.
Step-by-step explanation:
g) 6g=54
g=54/6
g=9
h) 7h=73-10
h=63/7
h=9
I) 8x-32=48
8x=48-32
x=16/8
x=2
j) 63=27+9j
63-27=9j
36/9=j
4=j
k) 101-61=4x
40/4=x
20=x
l)46=8+x-5
46=3+x
46-3=x
43=x
Hope this helps you
have a nice day
Solve for the value of x :-
5(x+4)+5(2-x)
Answer:
[tex]30[/tex]
Step-by-step explanation:
Given expression:
[tex]5(x + 4) + 5(2 - x)[/tex]
Note: The value of "x" is undefined because the given sum is not an equation. Thus, I will simplify the expression as much as possible.
Let us simplify all the distributive properties stated in the expression.
Apply the distributive property rule [a(b + c) = ab + ac]
[tex]\implies5(x) + 5(4) + 5(2) - 5(x)[/tex]
Since 5(x) is being subtracted from 5(x), we get:
[tex]\implies 5(x) + 5(4) + 5(2) - 5(x)[/tex]
[tex]\implies 5(4) + 5(2)[/tex]
Finally, let us simplify the sum of the product of (5 and 4) and (5 and 2).
[tex]\implies20 + 10[/tex]
[tex]\implies \boxed{30}[/tex]
Learn more about one-variable expressions: https://brainly.com/question/15139917
What is 8C6?
O A. 10
O B. 28
O C. 14
O D. 35
Answer: B
Step-by-step explanation:
Find the value of "x" in x² -2 = 47
Thanks :)
[tex]~~~~~x^2 -2 = 47\\\\\implies x^2 = 47 +2 \\\\\implies x^2 = 49\\\\\implies x = \pm\sqrt{49}\\\\\implies x = \pm 7\\\\\text{Hence, }~ x = 7,~~ x = -7[/tex]
Given C is the midpoint of line AB, D is the midpoint of line AC, and E is the midpoint of line DC. If AE=16, what is DB?
Answer:
DB = 32
Step-by-step explanation:
Given :
⇒ C is the midpoint of the line AB
⇒ E is the midpoint of the line DC
⇒ AE = 16
=============================================================
Understanding :
⇒ AC = BC = 1/2AB
⇒ AD = DC = 1/2AC = 1/4AB
⇒ DE = 1/2AD = 1/4AC = 1/8AB
=============================================================
Finding AB :
⇒ AE = AD + DE
⇒ 16 = 1/4AB + 1/8AB
⇒ 3/8AB = 16
⇒ AB = 16 x 8 / 3
⇒ AB = 128/3
=============================================================
Finding DB :
⇒ DB = DC + CB
⇒ DB = 1/4AB + 1/2AB
⇒ DB = 3/4AB
⇒ DB = 3/4 × 128/3
⇒ DB = 128/4
⇒ DB = 32
Which of the following risk factors should be considered when choosing a form of investment for your money? Select all that apply.
interest rate
rate of Return
risk
term of investment
The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk
What is investment?
Investment or investing means that an asset is bought, or that money is put into a bank to get a future interest from it.
While making an investment the investment consider:
Rate of inflation, it affects the value of the return.Investment History, it indicates the level of risk. Interest rate, it will show the real profit to be made.level of risk because if it is high, the potential loss will be higher.
So, The risk factors should be considered when choosing a form of investment for your money is: interest rate and risk
Learn more about investment here:
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What is the area of this triangle?
Tomic and Brooke make a game of shooting free throws. Each basket is worth 212 points. Each miss is worth −34 points. Out of 30 free throws, they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?
Answerfdf:d
fd
dffdfsd
add the term that makes the given expression into a perfect square write the result as the square of a bracketed expression a square + 8a
Answer:
see explanation
Step-by-step explanation:
a² + 8a
using the method of completing the square
add ( half the coefficient of the a- term)²
a² + 2(4)a + 16
= (a + 4)²
Find mPQ in the circle to the right
What does x equal with this equation
x/6-33= -27
Answer:
The first thing that we have to do is add 33 to both sides to try to reduce the amount of variables on the left hand side.
[tex]\frac{x}{6} - 33 = -27[/tex]
[tex]\frac{x}{6} - 33 + 33 = -27 + 33[/tex]
[tex]\frac{x}{6} = 6[/tex]
Now that we have simplified the left hand side even more we only have one part left to get x by itself which is to multiply both sides by 6.
[tex]\frac{x}{6} = 6[/tex]
[tex]\frac{x}{6} * 6 = 6 * 6[/tex]
[tex]x = 36[/tex]
Therefore, our final answer for what the value of x equals is 36.
Hope this helps! Let me know if you have any questions
The length of the hypotenuse of a 30°–60°–90° triangle is 13. Find the perimeter.
Answer:
The hypotenuse is 12 so the other side lengths are 6 and 6sqrt(3). Therefore the perimeter is 18 + 6sqrt(3). i hope it helps if not im glad to help step by step
Step-by-step explanation:
volume of a l=10 x w=10 x h=8in triangular prism
The Cooper family drove 987.6 miles on their vacation. They drove the same number of miles each day. If the trip was 6 days, how many miles did they drive each day?
Answer:
164.6
Step-by-step explanation: i'm a human calculator
Answer:
164.6
Step-by-step explanation:
Divide 987.6 by 6 = 987.6/6= 164.6
I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS
Find the area of the circles.
Answer:
200.96 square units
Step-by-step explanation:
d = 16
r = diameter ÷ 2 = 16 ÷ 2
r = 8
[tex]\boxed{Area \ of \ circle = \pi r^2}[/tex]
= 3.14 * 8* 8
= 200.96 square units
Answer:
See Explanation!
Step-by-step explanation:
Brief History:
While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.
Solution: (Circle 1)⇒ Given :
Radius is 5Diameter is 10 (Can be known by adding the radius together.)Using the formulas
[tex]A=\pi r^{2} \\d=2r[/tex]
Solving for [tex]A[/tex]
[tex]A=\frac{1}{4} \pi d^{2} =\frac{1}{4} *\pi *10^{2}[/tex] ≈ [tex]78.53982[/tex]
[tex]A[/tex] ≈ [tex]78.54...rounded[/tex]
Solution: (Circle 2)⇒ Given :
Diameter is 16 Radius is 8Using the formulas
[tex]A=\pi r^{2} \\\d=2r[/tex]
Solving for [tex]A[/tex]
[tex]A=\frac{1}{4} \pi d^{2} *\pi *16^{2}[/tex] ≈ [tex]201.06193[/tex]
[tex]A[/tex] ≈ [tex]201.06...rounded[/tex]
How much time will it take for an object to move 9 meters, if it moves 2 m/s? show your solution
Step-by-step explanation:
How much time will it take for an object to move 9 meters, if it moves 2 m/s?How do you find the speed of a falling object?
Calculate the final free fall speed (just before hitting the ground) with the formula v = g*t = 9.80665 * 8 = 78.45 m/s. Find the distance traveled by the falling object, using the equation s = 0.5 * g * t^2 = 0.5 * 9.80665 * 8^2 = 313.8 m.
Answer:
4.5
Step-by-step explanation:
4.5 x 2 = 9
very simple
