Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*x^2-(8)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
23x2 - 8 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
8x2 - 8 = 8 • (x2 - 1)
Trying to factor as a Difference of Squares:
3.2 Factoring: x2 - 1
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check : x2 is the square of x1
Factorization is : (x + 1) • (x - 1)
Equation at the end of step
3
:
8 • (x + 1) • (x - 1) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Equations which are never true:
4.2 Solve : 8 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.3 Solve : x+1 = 0
Subtract 1 from both sides of the equation :
x = -1
Solving a Single Variable Equation:
4.4 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
Two solutions were found :
x = 1
x = -1
What is 2/3 divided by 4/5.
It is about 0.83 in decimal or 10 twelfths (10/12) in fraction form. I hope this helped! So sorry if it's wrong!!!
Your teacher asks the class to evaluate the expression. Your classmate gives an incorrect answer of 256. Evaluate the expression. Then find the likely error
Answer:
What expression?
Step-by-step explanation:
Which statement describes the graph
Answer:
D. The graph crosses the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10.
Step-by-step explanation:
For this case, the first thing you should observe is that you have a different function in two distinct intervals.
We have then:
For [-10, 2]:
The linear function has a positive slope, therefore it grows and cuts the y-axis at the point (0, 5)
For [2, 10]:
We have a constant function whose equation is:
y = 5
Hope i helped!
A family traveled about 185 miles each day
on a 5-day trip. Their van averaged 17 miles
per gallon during the trip. Which of these
numbers is closest to the total number of
gallons of gasoline used?
triangle 35 degrees x 25 degrees y=?
Step 1: Find all of the angles inside the triangle
The sum of the interior angles of a triangle is 180 degrees. Therefore, 35 + 25 + x will equal 180.
35 + 25 + x = 180
60 + x = 180
x = 120
Step 2: Find y
X and Y make a straight line. A straight line is 180 degrees, so X and Y are supplementary angles. Therefore, X + Y will equal 180.
120 + y = 180
y = 60
Hope this helps!! :)
Christian wins his track races 95% of the time. If he ran 20 races this month, how many races did he win?
95÷100of the time
if he ran 20 races rhus month
95÷100×20 =19
You bought a car for $16,800. You got a
loan a 3.75% interest. After all of your
payments you paid $19,950 for the car. How
long was your loan?
Answer:
less then a month
Step-by-step explanation:
3.75% of 16800 is 6300 wich + 16800 = 23100
Answer:
less then a month
Step-by-step explanation:
3.75% of 16800 is 6300 wich + 16800 = 23100
En la fabricación de un automóvil, se requiere pintarlo, secarlo y pulirlo. La compañía Motores Épsilon produce tres tipos de automóviles: el Delta, el Beta y el Sigma. Cada Delta necesita 10 horas de pintado, 3 horas de secado y 2 horas de pulido. Un Beta necesita 16 horas de pintado, 5 horas de secado y 3 horas de pulido, mientras que un Sigma necesita 8 horas de pintado, 2 horas de secado y 1 hora de pulido. Si la compañía dispone de 240 horas para pintado, 69 horas para secado y 41 horas para pulido al mes ¿Cuántos automóviles de cada tipo produce?
Answer: s=10 b=5 d=8
Step-by-step explanation:Sus tres variables son d, b, s que representan respectivamente el número de Deltas, Betas y Sigmas.
Para configurar el sistema de ecuaciones, sume el número de horas tarea por tarea. La primera ecuación será solo para la cantidad de horas dedicadas a pintar, la segunda para secar y la tercera para pulir.
La primera ecuación: cada modelo tiene una cantidad diferente de horas dedicadas a la pintura. Multiplique esa cantidad de horas por la cantidad de autos de ese modelo (sus variables d, bo c) para obtener la cantidad total de horas dedicadas a pintar todos los autos de ese modelo. Luego, ajústelo al número total de horas que la empresa pasó pintando.
10d + 16b + 8s = 240
Repita para la segunda y tercera ecuaciones y debería obtener:
10d + 16b + 8s = 240
3d + 5b + 2s = 69
2d + 3b + 1s = 41
Para ponerlo en una matriz, cree una matriz aumentada de 3x4 y conecte los números.
Stoplight A changes color every 42 seconds and Stoplight B changes color every 30 seconds. Both stoplights changed color 10 seconds ago. After how many seconds will the stoplights change color at the same time again *
200
190
210
180
Answer:
210
Step-by-step explanation:
LCM of 42sec and 30 sec=210 sec
Hi, Select from the Drop-down menu’s please (:
2 places to the right
2 zeros
Solve the following equations, leaving your answer as a fraction where appropriate: 3(x + 12) = -4(3x – 8)
Answer:
3x+36=-12x+32
15x=-4
x=-4/15
Step-by-step explanation:
PLS MARK ME BRAINLIEST
The product of twice a number and 6 is the same difference of 11 times a number and 8/7
Answer:
i dont understand soory
Please solve this asap find the segment lengh
Answer:
JL = 7.3
Step-by-step explanation:
4x - 1.3 = x + 3.2
4x - x = 3.2 + 1.3
3x = 4.5
x = 4.5/3
x = 1.5
JL = 5(1.5) - 0.2
= 7.3
4(2x - 7)-2x = -10
-2
Answer:
x = 8/3
Step-by-step explanation:
Find the equation of the line with slope 7 that goes through the point
(0,8). Write your answer in slope-intercept form.
(6²+2²)÷4−10 Can someone HElp?
Answer:
The answer is -20/3
Step-by-step explanation:
(6² + 2²) ÷ 4 - 10
36 + 4 ÷ (-6)
40/(-6) = -20/3
Thus, The answer is -20/3
-TheUnknownScientist 72
Answer:
0
Step-by-step explanation:
6^2 + 2^2 = 36 + 4 = 40 Evaluate what is in the brackets.
40/4 = 10 Divide by 4
10 - 10 = 0 Subtract 10
The answer is zero.
Find the product, reduce answer to lowest term if necessary.
1. 1/2 of 1/2 of 36 _____
2. 1/3 of 1/3 of 9 _____
3. Find 7/9 of 81 _____
4. Four-fifths of 750 is what number _____
5. triple 4 4/5= ____
6. What is the sum of 2/5 of 20 and 1/4 of 16 _____
7. What is the difference between 1/2 of 50 and 1/3 of 60 _____
8. What is 32 more than 2/5 of 100 _____
9. 3 1/3 of 21 minus 3 1/3 of 14 ______
10. 2/5 of 15 plus 3/5 of 15 is ______
answer this pls
Step-by-step explanation:
please mark me as brainlest
Can someone explain how you get a answer for this problem?
Answer:
You Calculate the primiter to 1.5 and solve it
A cricket team gained 10 meters during their game. Express how many meters they gained as an integer What is the opposite of that integer?
Answer:
Step-by-step explanation:
10 and -10
What is the distance between these points: (3,-16) and (-10,-12)
Answer:
13 points
Step-by-step explanation:
Hope this helps answer your question!
estimate and find the sum:
420,983 + 39,932
740,758 + 263,043=477,715
HELP PLEASEEE omg
find x
Answer:
x = 1
Step-by-step explanation:
BC is similar to EF
they have similar sides with DE and BA having one tickDF and CA have two ticks angle D and angle A are the same13x - 12 = 7x - 6 is the equation
6x - 12 = -6
6x = 6
x = 1
Let's check!
13(1) - 12 = 7(1) - 6
13 - 12 = 7 - 6
1 = 1
Solve the equation p^2 - 4p = 10 by completing the square
Answer:
Step-by-step explanation:
p² - 4p = 10
add the square of half of the "b" value to each side of the equation
b/2 = -4/2 = -2
-2² = 4
p² - 4p + 4 = 10 + 4
p² - 4p + 4 = 14
(p - 2)(p - 2) = 14
(p - 2)² = 14
p - 2 = √14
p = 2 + √14
an astronaut who weighs 86 kg on earth would weigh 14 1/3 kg on moon. what is the astronauts weigh on moon written as an improper fraction
Answer:
14 x 3 = 42
42 + 1 = 43
improper fraction: 43/3
2. Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x^2+2x+7=21 The number of positive solutions to this equation is_____ The approximate value of the greatest solution to the equation, rounded to the nearest hundredth is_____.? I don't usually ask for help but it would be nice.
Answer:
The number of positive solutions to this equation is one
Step-by-step explanation:
The number of solutions of a given quadratic equation is determine by the discriminant.
4. Marcus scored 87 points in 5 games. Diana scored 153 points in 9 games. Who scored more
points per game? Show how you know.
Answer:
Marcus scored more points per game
Step-by-step explanation:
Given:
Marcus scored 87 Points in 5 games
Diana scored 153 in 9 games
To Find:
Who scored more points per game?
Solution:
To Find who scored more Have to Divide.
87 ÷ 5 = 17.5 → Marcus
153 ÷ 9 = 17→ Diana
17.5(Marcus) is 0.5 more than 17(Diana)
Therefore Marcus scored more points per game.
Hey can anyone help pls thank you !
Answer:
x = 16
Step-by-step explanation:
The angle vertically opposite (4x - 17) is also (4x - 17) , then
4x - 17 and 8x + 5 are same- side interior angles and sum to 180° , that is
4x - 17 + 8x + 5 = 180
12x - 12 = 180 ( add 12 to both sides )
12x = 192 ( divide both sides by 12 )
x = 16
Answer:
x = 16
Step-by-step explanation:
From the diagram (attached along with answer) ,
∠ABY = 8x + 5
∠ZYQ = 4x - 17
∠ABY = ∠XYQ = 8x + 5 (∵ Corresponding angles are equal)
∠XYQ + ∠ZYQ = 180° (∵ Linear pair)
[tex]=> 8x + 5 + 4x - 17 = 180[/tex]
[tex]=> 12x - 12 = 180[/tex]
[tex]=> 12x = 180 + 12 = 192[/tex]
[tex]=> x = \frac{168}{12} = 16[/tex]
#4M1735H
If half of two third of a number added to one thirds of three fourth is x times the number. The number is
Answer:
wow you dont know :0
Step-by-step explanation:
:0:0:):): ):):):):):):):):):):):):):):):):):):):
I REALLY NEED HELP WITH THIS
Answer:IT would be c
Step-by-step explanation:Calculating average value of function over interval. Here we find the average value of x^2+1 on the interval between 0 and 3.Practice: Definite integrals over adjacent intervals. This is the currently selected item. Functions defined by integrals: switched interval. Finding derivative with fundamental theorem of calculus: x is on lower bound. Finding derivative with fundamental theorem of calculus: x is on both bounds.Divide cos ( x) ( sin ( x) − 1) cos ( x) ( sin ( x) - 1) by 1 1. Divide 0 0 by 2 2. If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. Set the first factor equal to 00 and solve. Tap for more steps... Set the first factor equal to 0 0. hope this is hopeful
square root of 44
how do you get it
Answer:
6.633
Step-by-step explanation:
√44
= 6.633