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

pls help
A:1/360
B:1/180
C:1/90
D:1/100

Answers

Answer:  A) 1/360

This is because there are 360 degrees in a full circle.

What is the equation of a line with a
slope of -2 and crosses the vertical axis
at the point (0, 5)?

Answers

Answer:

y=-2x+5

Step-by-step explanation:

the slope is m and the y-intercept is b in the form y=mx+b, and -2 is the slope and 5 is the y-intercept in this equation, so y=-2x+5

Answer:

y=-2x+5

Step-by-step explanation:

y=mx+b

m is the slope which is -2

b is the y intercept which is given in the problem, 5

13 - 7(-2 - 8)
Please solve! :) Will be marking brainliest!!

Answers

Answer: 83

Step-by-step explanation: -7x-2=14 -7x-8=56, 56 + 14 + 13 = 83.

Hope this helps! :)

Please Mark Brainliest!!!

The answer would be 83. To get 83, you first do -2-8, following the P.E.M.D.A.S. rule. You would get -10, and then you times -7 with -10, getting 70 (negative times negative is positive). Lastly, add 13 and 70 together, and you get 83.

solve the equation. 4.6g +9+1.6g +21 what is g

Answers

Answer:

= 6.2g+9

Step-by-step explanation:

6.2g + 30 I cant solve for g since you didn’t provide what it equals

Find the equation of this line

Answers

The points are (-4,2) and (3,-4)
using y2-y1/x2-x1
-4-2/3-2
-6/1
slope (m) is -6
to find b part of equation (y=mx+b) plug in point value for x and y
2=-6(-4)+b (multiply -6 and -4)
2=24+b (subtract 24 over)
b=-22
final equation is y=-6x-22

Round 9.8846387057 to the nearest whole number.

Answers

Answer:

10

Step-by-step explanation:

Hey there! The answer is 10 because if it is 9.5 or higher you will round it up to the nearest number. In this case, you are rounding 9.88, so you round up to the nearest whole number, which is 10.

~I hope I helped you! :)~

Answer:

10

Step-by-step explanation:


What is y + 3 = 7(x − 2) written in standard form?

Answers

Answer:

7 x − y = 17

Step-by-step explanation:

Apply the distributive property.

y + 3 = 7 x+ 7 ⋅ − 2

Multiply  7  by  − 2 .

y + 3 = 7x − 14

Rewrite the equation with the sides flipped.

7 x − 14 = y + 3

Move all terms containing variables to the left side of the equation.

Subtract  y  from both sides of the equation.

7x−14−y=3

Move -14.

7x−y−14=3

Please Answer!!
2t+6<10 or -t+7≤2

Answers

Answer:

the other one is t >= 5. hope this helps

Which equation has the same solution as this equation?
x^2-16x+12=0​

Answers

My answer to this question is x = 0

Abdul was scuba diving 76 feet below the surface of the ocean. To get a closer look at a school of fish, he swam up 28 feet

Answers

Answer:

He is at 48 feet below the surface

Step-by-step explanation:

76-28= 48

Answer: -48 ft.

Step-by-step explanation: -76+28= -48

Please help!
(Please do not answer with links or “idk but good luck”)

2(4z + 9) = 34

Answers

z = 2

Distribute: 8z + 18 = 34
Then subtract 18 from both sides
8z = 16
Divide both sides by 8 to isolate z

Answer: z=2

Step-by-step explanation:

If ΔMTV is reflected across the y-axis, what are the resulting coordinates of point M?

(-2, -5)
(-2, -5)

(5, -2)
(5, -2)

(-2, 5)
(-2, 5)

(-5, 2)
(-5, 2)

Answers

The answer is A (-2,5).

HOPE IT HELPS (◕‿◕✿) SMILE!!


ASAP

Level 3
The volume of a rectangular pool is the product of the pool's area and depth. Suppose a pool that is 12 feet deep has
a volume of 10368 ft? What is the area of the pool?
The area of the pool is
square feet.
The area of the pool is the product of the pool's length and width. Suppose the pool's length is 24 ft. What is the
pool's width?
The pool's width is
feet

Answers

Answer:

The area of the pool is [tex]864\ ft^2[/tex]

The pool's width is 36 ft

Step-by-step explanation:

Volume and Area

The volume of a rectangular pool is the product of the pool's area and depth. We are given the pool's depth d=12 feet and the pool's volume V=10368 [tex]ft^3[/tex]

Since:

[tex]V= d*A[/tex]

Solving for A:

[tex]\displaystyle A=\frac{V}{d}=\frac{10368}{12}=864\ ft^2[/tex]

The area of the pool is [tex]864\ ft^2[/tex]

Now we calculate the pool's width, knowing the area is the product of the pool's length and width. Knowing the length is L=24 ft:

[tex]A=L*W[/tex]

Solve for W:

[tex]\displaystyle W=\frac{A}{L}=\frac{864}{24}=36[/tex]

The pool's width is 36 ft

What is the rate of change of the line through (-2,-2) and (-1,5)?

Answers

Answer:

The rate of change or the slope is 7. (If you were to graph this, you would use 7/1.

Step-by-step explanation:

To find the slope when you're given two sets of points, you must find the distance from the y values and the distance from the x values!

Y values: distance from -2 to 5 is +7

X values: distance from -2 to -1 is +1

7/1 or just 7.

Hope this helps! :)

a restaurant customer left 0.70 as a tip the tax was 8% and the tip was 10% of the after cost which information is not needed to compute the bill after tax and tip what was the total bill

Answers

Answer:the answer is b.

Step-by-step explanation:

help me pleaseee ejejie​

Answers

Answer:

The answer is A

Step-by-step explanation:

when you see x and y side by side in a table, each row is one point on a graph. hope this helps!

Answer:

The answer is A (the first answer) why is because the x axis will always go first on a corrdinate plane point so measure it like this x axis 3 y axis 4 it would look like this (3, 4) hope that helps! Message me if you need more explaination! :)

Faith is driving to a concert and needs to pay for
parking. There is an automatic fee of $7 just to enter
the parking lot, and when she leaves the lot, she will
have to pay an additional $2 for every hour she had her
car in the lot.

Answers

Answer: $7 + 2h = Will be the price she pays when she leaves.

Step-by-step explanation:

1. Find the LCM of 35,14 using prime factorization.

2. Find the LCM of 15,12 using prime factorization.

3. Find the LCM of 5,9,15 using prime factorization.

4. Find the LCM of 8,10,12 Using Prime factorization.


If you answer I promise I will make you the brainiest, like and I will vote 5

Answers

Answer:

Step-by-step explanation:

1) 35 = 5 * 7

  14 = 2 * 7

LCM = 2 * 5 * 7 = 70

2)  15 = 3 * 5

    12 = 2 * 2 * 3

LCM = 2* 2 * 3 * 5 = 60

3) 5 = 5

    9 = 3 * 3

  15 = 3 * 5

LCM = 3*3 * 5 = 45

4)8 = 2 * 2 * 2 = 2³

  10 = 2 *5

   12 = 2 * 2 *3 = 2² * 3

LCM = 2³ * 3 * 5 = 120

Our class buys oranges for 25¢ each and sells them for 50¢ each. If each student in our class of 30 sells 10 oranges, how much money, in dollars, will we make?

Answers

Answer:

$75 Have a nice day!   :)

here is how 50 x 10 = 500    500 x 30 = 15000    15000 divided by 2 = 7500 converted to dollars is $75

Answer:

$75.00

Step-by-step explanation:

50¢-25¢=25¢

30×10=300

300×25¢=7500¢

7500¢=$75$

can you help me please​

Answers

Can you repost with the graph?

Which property is illustrated by the following statement?
9a (bc) = (9a)bc
O A. Commutative Property of Addition
O B. Inverse Property of Multiplication
O C. Commutative Property of Multiplication
O D. Associative Property of Multiplication

Answers

Answer:

Associative Property

Step-by-step explanation:

The associative property states that it doesn't matter where the parenthesis are put, the answer will always be the same

It should be Associative Property Of Multiplication

Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs. Show your work on the right using the draw tool. Log rules are included for reference at the bottom of the slide.

Answers

Answer:

02.

Step-by-step Explanation

[tex]log \frac{3}{2} \\ \\ = log \frac{3 \times 4}{2 \times 4} \\ \\ = log \frac{12}{8} \\ \\ = log 12 - log 8 \\ \\ = 1.1 - 0.9 \\ \\ = 0.2 \\ \\ \huge \red{ \boxed{log \frac{3}{2} = 0.2}}[/tex]

Answer: 0.2

Step-by-step explanation:

We have to find [tex]log \frac{3}{2}[/tex].

We are given log 12 and log 8, the farthest.

Subtract to find the number you have to multiply by.

3 x 4 = 12 and 2 x 4 = 8.

Our next fraction will be [tex]log \frac{12}{8}[/tex]

Now, subtract log 12 (1.1) by log 8 (0.9)

1.1 - 0.9 = 0.2

So, the answer to the question is 0.2

Which statement describes the mapping? A. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value. B. The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value. C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value. D. The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.

Answers

Answer:

The answer is

C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.

Step-by-step explanation:

In mathematics, mapping is used synonymously to a function, and a function is basically a relation between two values or expressions say y and x

like the difference equation relating y and x.

In a function, for every value of x plugged into the function there is always a corresponding value of y.

Example.

Given the function

y=2x+5.

find the value of y when x=0

we are going to substitute x=0 and solve

y=2(0)+5

y=5

so for x=0 y=5

What is the remainder of 74 divided by 7

Answers

Answer:

The division rest of 74 by 7 equals 4, and the value of the quotient is 10. Proof: 74 = (7×10) + 4.

Step-by-step explanation:

hope this helped and is that iready??

The remainder of 74 divided by 7 is 4.

What is Division?

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

When a number is divided by another number, the number which is being divided is the dividend. Divisor is the number which divides the dividend.

Quotient is the value after the division process.

Remainder is the remaining value after the division.

If the dividend is completely a factor of divisor, remainder will be zero.

Otherwise there will be a non zero number as the remainder.

74 is not a multiple of 7.

70 is the multiple of 7 which is closest to 74.

Remainder = 74 - 70 = 4

Hence the remainder is 4.

To learn more about Division, click on the link :

https://brainly.com/question/21416852

#SPJ2

This is for 10 points! Plz

Answers

Answer:

...

Step-by-step explanation:

Table e

5:2

10:4

20:8

Table F

180:5

36:1

216:6

I just want to know if the other answer was right?

please help asappppp!!

Answers

Step-by-step explanation:

3 because I don't really know

What is the midpoint of a line segment with the endpoints of (-4, -4) and (6, 14)

(10, 18)
(2, 10)
(-1, 4)
(1, 5)

Answers

Answer:

The midpoint is ( 1,5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

( -4+6)/2 = 2/2 =1

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

( -4+14)/2 = 10/2 =5

The midpoint is ( 1,5)

pls answer i need answer fast

Answers

Answer:

-24

Step-by-step explanation:

Given expression:

      3z (2y - 4)²

  z = -2 and y = 3

To solve this problem, simply substitute:

       3z (2y - 4)² = 3(-2){2(3) - 4}²

                           = -6(6-4)²

                           = -6 (2)²

                          = -6 x 4

                          = -24

Answer:

The answer is -24

please help!! giving 20 points ! What is the area of this rectangle?

Answers

Answer:

C

Lucky guess if this is wrong i am truly sorry.

c lucky answer but it’s right because of the rectangles pie so

the table shows ordered peirs of the function y= 8 - 2x what is the value of y when x = 8

Answers

Answer:

y = -8

Step-by-step explanation:

All we need to is substitute for x and solve for y.

y = 8 - 2x

y = 8 - 2(8)

y = 8 - 16

y = -8

Best of Luck!

Other Questions
Which of the following statements is correct about the value of16 + 101 ? A. 16 + 101 is neither a rational or irrational number B. 16 + 101 is an integer C. 16 + 101 is an irrational number D. 16 + 101 is a rational number In the diagram, $AB,$ $BC,$ $CD,$ $DE,$ $EF,$ $FG,$ $GH,$ and $HK$ all have length $4,$ and all angles are right angles, with the exception of the angles at $D$ and $F.$If perpendicular $EM$ is drawn from $E$ to $DF$ (a close-up is shown below), and if $x$ is the length of $EM,$ then what is $x^2$?Please help with hints! - no solutions - If u give a full solution I will report u :PAlso, trolls just wanting to get the 50 points will be reported!Thanks for the help in advance :) plese help im in 2nd grade and this is really hard all the kids in my class know it but me 2. Describe the process used to solve an equation with variables on both sides. WILL GIVE BRAINLIEST!! What are the slope and the y-intercept of the linear function that is represented by the graph?On a coordinate plane, a line goes through points (0, 3) and (4, 0). a The slope is Negative four-thirds, and the y-intercept is 4. bThe slope is Negative four-thirds, and the y-intercept is 3. cThe slope is Negative three-fourths, and the y-intercept is 4. dThe slope is Negative three-fourths, and the y-intercept is 3. Derek can do 50 pushups. Roger can do8% fewer than Derek can do. How manypushups can Roger do? What is absolute power? Which form a EM radiation has the most energy Express in the form 1:n 8:24 The graph represents the balance on Harrisons car loan in the months since purchasing the car. 2. Findf(g(x))andg( f(x)).f(x) = 102; 9(1) = 1 + 3 22x^3 y^4+28x^2 y^5+34xy^4 HURRRY PLEASEEEEE!!!In photosynthesis, what two compounds are produced during the light-dependent reaction then used in the light-independent reaction?A) ATP and NADPH B) ATP and ADP C) NADP+ and ADP D) NADPH and NADP+ Show that the points P(3,4) z Q(7,8) , R(11,4) are the vertices of an isosceles triangle. The purpose of the merge and center command is to _____. 79x10 to the power of 7 +6.5x10 to the power of 6Express your answer in scientific notation If an automobile travels at 30 m/sec for 2 minutes, the car have traveled ? What is the necessity of acting from respect for the [moral] law, for Kant? a. Utility b. Duty c. Will d. Egoism the electron config for 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6 5s2 4d10 5p6 6s2 4f14 5d10 6p3 What makes buying a foreclosed property risky?