how can you solve quadratic equation in one variable using factoring method?
The steps are;
look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant and the coefficient of x²Factor the common value from both brackets and get the required variableLet us assume the quadratic equation x² - 2x + 1 = 0
To solve this by factoring;
Step 1: We will first look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant andthe coefficient of x²
For the given equation, the two values are -1 and -1
The quadratic equation becomes;
x² - 1x - 1x + 1 = 0
x² - x - x + 1 = 0
(x²-x)-1(x-1) = 0
Step 2: Factorize the common value from both brackets
x(x-1)-1(x-1) = 0
x-1 = 0 and x - 1 = 0
x = 1twice
The given steps are the ways you can solve quadratic equations in one variable using factoring method
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You and your sister help your neighbor rake their lawn. Your sister can rake at a rate of 2
square meters per minute, and you can rake at a rate of 4 square meters per minute. You
start at the same time. After how many minutes will you rake 8 square meters more than
Your sister?
Answer:
4 minutes
Step-by-step explanation:
Min. Sister. You
1. 2. 4
2. 4. 8
3. 6. 12
4. 8. 16
If has a decimal approximation of 3.4, then is between which two integers? In your final answer, include all calculations.
Answer: It is between 3 and 4.
Step-by-step explanation:
Integers are whole numbers and its opposite, for example, -5,-4,-3,-2,-1, 0, 1,2,3,4, 5 ,....
Meaning that 3.4 is not an integer so it fall between two integers and those integers has to be positive because 3.4 is a positive number.
3.4 is slightly greater than 3 but is less than 4.
Meaning that 3.4 is between the integers 3 and 4.
Battery wholesaler produces 5200 batteries. Of those batteries produced, 8% are defective. How many batteries are defective?
40
416
650
41,600
Answer:
416
Step-by-step explanation:
Took the quiz. :<C
Write the equation of each line in slope-intercept form. A line that passes through
(-4, 8) and (4, 6)
Answer:
[tex]y=-\frac{1}{4}x+7[/tex]
Step-by-step explanation:
Write in slope-intercept form, y = m x + b .
Answer:
4y=x+20
Step-by-step explanation:
gradient
8-6/-4-4
= 1/4
y-6=1/4(x-4)
4y-24=x-4
4y=x+20
Michael invests USD 20 000 at 9.6% p.a. compounded monthly.
How long will it take for his investment to reach USD 25 000?
Given :
A = 25000
P = 20000
r % = 9.6 % = 0.096
n = 12
To Find :
The time taken say t.
Solution :
We know, compound interest is given by :
[tex]A=P(1+\dfrac{r}{n})^{n.t}[/tex]
Taking log both sides :
[tex]A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years[/tex]
Hence, this is the required solution.
What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form
Answer:
[tex]\frac{5}{12}[/tex]m²
Step-by-step explanation:
Given parameters:
Base = [tex]\frac{5}{3}[/tex]m
Height = [tex]\frac{1}{2}[/tex]m
Unknown:
Area of the triangle = ?
Solution:
The area of a traingle is given as:
Area = [tex]\frac{1}{2}[/tex] x base x height
Insert parameters and solve;
Area = [tex]\frac{1}{2}[/tex] x [tex]\frac{5}{3}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{12}[/tex]m²
Answer:
Step-by-step explanation:
5/10
15-7m=-5-2m solve the equation
What is the relationship between the two shapes?
A. They are similar and congruent.
B. They are similar but not congruent.
C. They are congruent but not similar.
D. They are neither congruent nor similar.
What is the slope and equation of a line parallel to the x-axis passing through (3,7)?
Answer:
We know that the equation is y=7 because it passes through point (3,7), and 7 is the y-coordinate of that point (remember we don't really care about the 3 because since the line is parallel to the x-axis, it will pass through all values of x, so the 3 is irrevalent).
Step-by-step explanation:
The equation of the line passing through the point (3,7) and parallel to the x-axis is y =7.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
We know that the equation is y=7 because it passes through the point (3,7), and 7 is the y-coordinate of that point (remember we don't really care about the 3 because since the line is parallel to the x-axis, it will pass through all values of x, so the 3 is prevalent.
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Jason has three more than four times the amount of money that Jeff has. Together they have $72 How much does each person have?
Answer:
$58.20$13.80Step-by-step explanation:
Let Jason's money be x and Jeff's money be y
x = 4y + 3x + y = 72Substitute x in the second equation
4y + 3 + y = 725y = 69y= 69/5y = $13.80Then
x = 4*13.8 + 3 = $58.23x + 5y + z = 2
x + 2y + 3z = 6
2x + 4y + 2z = 9
x divided by six eqauls twentyfive
x/6=25
Answer:
x = 150Step-by-step explanation:
x / 6 = 25
x = 25 (6)
x = 150
Answer: x=150
Step-by-step explanation:
can you guys help, plz i dont understand it
Answer:
21x+6
Step-by-step explanation:
Jacob has unlocked 6 less than
twice as many game levels as
Shannon. If Jacob has unlocked 14
levels, how many levels has
Shannon unlocked?
Answer:
Shannon has unlocked 40 levels.
Step-by-step explanation:
14 + 6 = 20
20 * 2 = 40
Use the vertical line test to determine whether or not the graph is a graph of a function.
Answer:
25. Not a function because when you use vertical line test, you came across two points at the same time.
26. This is a function because when you vertical line test, you don't come across two points at the same time.
Step-by-step explanation:
A large toy weighs 5/8 pound. How many small toys
that each weigh 5/16 pound have a combined weight
equal to the weight of the large toy?
18. Supongamos que tras una encuesta se ha concluido que si se elige al azar a una persona, la probabilidad de que esté a favor de la retransmisión de partidos de fútbol es de 0,8; de que esté a favor de la existencia de canales de televisión de pago, de 0,4;y de que esté a fa vor de la retransmisión de partidos de fútbol y tam bién de la existencia de canales de pago, de 0,3 a) Calcula la probabilidad de que una persona esté a favor de la retransmisión de partidos de fútbol o de la existencia de canales de televisión de pago.
Responder:
0,9
Explicación paso a paso:
Sea P (MuT) la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago
probabilidad de que esté a favor de retransmitir partidos de fútbol sea P (M) = 0,8
Probabilidad de que esté a favor de la existencia de canales de televisión de pago P (T) = 0,4
La probabilidad de que esté a favor de la retransmisión de partidos de fútbol y también de la existencia de canales de pago sea P (MnT) = 0,3
Usando la fórmula de notación de conjuntos
P (MuT) = P (T) + P (M) - P (MnT)
Sustituir los parámetros dados
P (MuT) = 0,4 + 0,8-0,3
P (MuT) = 1,2-0,3
P (MuT) = 0,9
De ahí que la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago es de 0,9.
Answer:Responder:
0,9
Explicación paso a paso:
Sea P (MuT) la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago
probabilidad de que esté a favor de retransmitir partidos de fútbol sea P (M) = 0,8
Probabilidad de que esté a favor de la existencia de canales de televisión de pago P (T) = 0,4
La probabilidad de que esté a favor de la retransmisión de partidos de fútbol y también de la existencia de canales de pago sea P (MnT) = 0,3
Usando la fórmula de notación de conjuntos
P (MuT) = P (T) + P (M) - P (MnT)
Sustituir los parámetros dados
P (MuT) = 0,4 + 0,8-0,3
P (MuT) = 1,2-0,3
P (MuT) = 0,9
De ahí que la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago es de 0,9.
Step-by-step explanation:
Solve using the standard algorithm.
a. 0.3 + 0.82 = ____________
b. 1.03 + 0.08 = ___________
Answer:
A= 1.12
B= 1.11
Step-by-step explanation:
A. 0.82 B. 1.03
+ 0.3 + 0.08
______ _______
1.12 1.11
What is the vertex of the graph shown?
Answer:
(0,2)
Step-by-step explanation:
To find vertex all you have to do is look were the bend part of the line is on the x-axis or y-axis iin this case its on the y-axis
Brainiest would be noice
High Hopes^^
Barry-
1 mile divided by 2 laps =
There are 4 laps in one mile, therefore, "1 mile divided by 2 laps" = 2.
What is division?Division is the process of dividing a number by a given number.
Given, the statement "1 mile divided by 2 laps".
The statement written in mathematical form is:
(1 mile)/2 laps
There are 4 laps in one mile, therefore, substitute 1 mile = 4 laps into the above equation:
(4 laps)/2 laps
= 2
Hence, "1 mile divided by 2 laps" = 2.
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Mia can purchase a 40-ounce jar of peanut butter for $5.20 or a 15-ounce jar for $2.70. How much does Mia save per ounce by buying the 40-ounce jar? Pleaseeee help hurry in time.
What is the angle relationship? Meaning, what is the angle for this?
I’ll give brainliest to whoever answers right! :)
Answer:
Easy. Alternate interior angle.
Step-by-step explanation:
between which two consecutive integers does the negative square root of 20 lie
-1/4x + 6 = y; (2,4)
Answer:
The answer is y = 4 x − 4
Step-by-step explanation:
Why the following triangles are congruent!
Answer:
They have equal ticks and angles. They are congruent because they are equal in all sides and angles.
Step-by-step explanation:
Kyle has $200 to spend on a camera and a camera case. If he wants to spend three times as much on his camera as on the case, what is the most he should spend on the camera case?
Answer:
$50
Step-by-step explanation:
I took $200 divided by 4 (he wants to spend 3 times as much) so he would spend $50 on case and $150 on camera
simplify this surd expression
Answer:
4√6
Step-by-step explanation:
i need help with geometry
Answer:
5
Step-by-step explanation:
What is the equation of a line that is parallel to y = 6x + 7 and passes through (0.9)?
Answer:
y = 6x + 9
Step-by-step explanation:
Because the gradient is the same in parallel lines and the y intercept is different.