Write a quadratic function in standard form with zeros 1 and -10

Answers

Answer 1

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]


Related Questions

Can someone please help me with the B part? <3

Answers

Answer:

v = 13.5 m/s is the answer

mark me as brainliest if u found it helpful

Write the equation of each line in slope-intercept form. A line that passes through
(-4, 8) and (4, 6)

Answers

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

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?

Answers

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

-1/4x + 6 = y; (2,4)

Answers

Answer:

The answer is y  =  4 x  −  4

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

Answers

35 is the most closest to 6

1 mile divided by 2 laps =

Answers

The answer is 800 meters
1 mile is 1600 meters or four laps
So if you divide 1600 by 2 you get 800 meters

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.

Answers

$5.20/40=0.13
$2.70/15=0.18
0.18-0.13=$0.05

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.

Answers

i’d help you but i don’t know the two shapes !:( post a pic
i need the pic of the shapes

how can you solve quadratic equation in one variable using factoring method?

Answers

Take a quadratic equation in standard form:
If there exists a sum of two numbers that equal b, whose addends produce a product that equals c, you can rewrite the quadratic as a product of two binomials.

For example, take .
When thought through thoroughly, -5 has addends -2 and -3 that produce 6 when multiplied.
Thus, we can rewrite the quadratic as.

I hope this helps! You can ask for clarifications if needed. :)

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 variable

Let 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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If has a decimal approximation of 3.4, then is between which two integers? In your final answer, include all calculations.

Answers

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.

I need help solving this

Answers

i think the correct one is D

x divided by six eqauls twentyfive

x/6=25

Answers

Answer:

x = 150

Step-by-step explanation:

x / 6 = 25

x = 25 (6)

x = 150

Answer: x=150

Step-by-step explanation:

PLEASE HELP ASAP
Which angle is important using the SAS postulate?

Answers

2,3 I think I’m not sure

Estimate the square root of 17 to the nearest tenth.

Answers

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.

Use the vertical line test to determine whether or not the graph is a graph of a function.

Answers

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:

i need help with this geometry please

Answers

Answer:

how may i helps

Step-by-step explanation:

when it says parallel
ALWAYS KEEP THE SLOPE THE SAME
so if it’s y=3x-4
keep the 3x
and change the -4
so you could say
y= 3x -3 or y= 3x +5
both work

Why the following triangles are congruent!

Answers

Answer:

They have equal ticks and angles. They are congruent because they are equal in all sides and angles.

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?

Answers

Answer is 2
Divide (5/8)/(5/16)
Which equals 2

Solve 3(4m - 6) = 12 and explain each step

Answers

distribute the 3 to 4m and 6. this makes 12m-18=12
now add 18 to both sides.
12m=30
now divide by 12
m=30/12

What is the slope and equation of a line parallel to the x-axis passing through (3,7)?

Answers

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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can you guys help, plz i dont understand it

Answers

Answer:

21x+6

Step-by-step explanation:

between which two consecutive integers does the negative square root of 20 lie

Answers

You could do the negative square root of 16 and the negative square root of 25 to get -4 and -5. So this means the answer is negative square root of 20 is in between -4 and -5

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.

Answers

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:

What is the vertex of the graph shown?

Answers

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-

What is the equation of a line that is parallel to y = 6x + 7 and passes through (0.9)?​

Answers

Answer:

y = 6x + 9

Step-by-step explanation:

Because the gradient is the same in parallel lines and the y intercept is different.

real life example of linear pairs

Answers

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 ✨

Jason has three more than four times the amount of money that Jeff has. Together they have $72 How much does each person have? ​

Answers

Answer:

$58.20$13.80

Step-by-step explanation:

Let Jason's money be x and Jeff's money be y

x = 4y + 3x + y = 72

Substitute x in the second equation

4y + 3 + y = 725y = 69y= 69/5y = $13.80

Then

x = 4*13.8 + 3 = $58.2

What is the angle relationship? Meaning, what is the angle for this?
I’ll give brainliest to whoever answers right! :)

Answers

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

Answers

Answer:

416

Step-by-step explanation:

Took the quiz. :<C

The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter I
of the rectangle.

Answers

So for the perimeter, there will be 2 of each side. 3(2)+6(2)= 18.
The perimeter is 18 feet.
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