Answer:
f(x)=x^2+9x-10
Step-by-step explanation:
Standard Form of Quadratic Function
The standard form of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
The factored form of a quadratic equation is:
[tex]f(x)=a(x-\alpha)(x-\beta)[/tex]
Where [tex]\alpha[/tex] and [tex]\beta[/tex] are the roots or zeros of f, and a is constant.
We know the zeros of the function are 1 and -10. The function is:
[tex]f(x)=a(x-1)(x-(-10))[/tex]
[tex]f(x)=a(x-1)(x+10)[/tex]
Operating:
[tex]f(x)=a(x^2+10x-x-10)[/tex]
Joining like terms:
[tex]f(x)=a(x^2+9x-10)[/tex]
Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:
[tex]\boxed{f(x)=x^2+9x-10}[/tex]
I need help solving this
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:
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
between which two consecutive integers does the negative square root of 20 lie
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.
Estimate the square root of 17 to the nearest tenth.
Answer:
4.1
Step-by-step explanation: Step 1: Calculate. We calculate the square root of 17 to be: √17 = 4.12310562561766.
Step 2: Reduce. 4.12.
Step 3: Round. Round 4.12 so you only have one digit after the decimal point to get the answer: 4.1.
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-
can you guys help, plz i dont understand it
Answer:
21x+6
Step-by-step explanation:
Can someone please help me with the B part? <3
Answer:
v = 13.5 m/s is the answer
mark me as brainliest if u found it helpful
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 = $58.2how 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
Learn more here: https://brainly.com/question/18388216
The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter I
of the rectangle.
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.
To know more about an equation of the line follow
https://brainly.com/question/18831322
#SPJ2
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?
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.
Solve 3(4m - 6) = 12 and explain each step
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.
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
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:
Question 6 of 19
Which of the following numbers is closest to 6?
A. V38
B. 39
C. 35
D. 134
SUBMIT
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.
To learn more about division, click here:
https://brainly.com/question/10571790
#SPJ2
real life example of linear pairs
Answer:
Two angles are said to be linear if they contains a common ray and the sum of the two angles is equal to 180 degrees. A ladder placed against a building is a real life example of a linear pair.
Step-by-step explaination
hope this helped ✨
i need help with this geometry please
Answer:
how may i helps
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:
-1/4x + 6 = y; (2,4)
Answer:
The answer is y = 4 x − 4
Step-by-step explanation:
PLEASE HELP ASAP
Which angle is important using the SAS postulate?
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:
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
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:
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.