Write a quadratic function h whose zeros are 9 and 1

Answers

Answer 1

Answer:(x^2)-10x+9

Step-by-step explanation:

Zeroes would be 9 and 1, so the equation would be (x-9)(x-1), and multiplying with FOIL gives us xsquared -10x+9

Answer 2

If the given zeroes of the equation are 9 and 1 the quadratic equation will be x²-10x+9.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

Any function of the form

[tex]\rm f(x) =ax^2+bx+c[/tex]

where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

It is given that the zeroes of the equations are,9 and 1,

The equation with zeroes is represented as,

(x-a)(x-b) =0

Substitute the given values,

(x-9)(x-1) = 0

Open the bracket and perform the arithmetic operations,

(x(x-1) -9(x-1) = 0

x²-x-9x+9=0

x²-10x+9

Thus, if the given zeroes of the equation are 9 and 1 the quadratic equation will be x²-10x+9.

Learn more about quadratic equations here:

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Related Questions

i need all questions please, will be giving brainliest and please make sure the answers are correct

Answers

9 8 22
21 5 6
70 9 0
0 80 33
1 6 2

Please answer 1 and 2! Thank you!

Answers

Answer:

there is nothing here so??

Answer:

where??? uhhhhhhhh lol

The State Furniture Company makes tables. The number of tables made on a given day is shown by the expression 20h , where h is the number of hours the company is open that day. What is a reasonable set of values for h?

Answers

Answer:

z

Step-by-step explanation:

sdggsgsgdd

Answer:

im sorry

Step-by-step explanation:

i ned help on the same question

simplify each of the following ratios.
e) 2/3 : 3/2 : 5/8​

Answers

Answer:

32/45

Step-by-step explanation:

2/3 : 3/2 : 5/8

Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:

2/3 ÷ 3/2 ÷ 5/8

Dividing fractions is the same as multiplying them by the reciprocal.

2/3 * 2/3 * 8/5

Now simplify:

32/45

32 and 45 have no common factor, hence the final answer is 32/45

Answer:

32/45

Step-by-step explanation:

2/3 : 3/2 : 5/8.

Remember, a ration and a fraction are both division. Therefore you can rewrite the problem like so:

2/3 ÷ 3/2 ÷ 5/8

Dividing fractions is the same as multiplying them by the reciprocal.

2/3 * 2/3 * 8/5

Now simplify:

32/45

32 and 45 have no common factor, hence the final answer is 32/45

May I have brainliest please? :)

3 + 2x -y =0
-3 -7y = 10x​

Answers

Answer:

(-1, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

3 + 2x - y = 0

-3 - 7y = 10x

Step 2: Rewrite systems

3 + 2x - y = 0

Add y to both sides:                    3 + 2x = y

Step 3: Redefine systems

y = 2x + 3

-3 - 7y = 10x

Step 4: Solve for x

Substitution

Substitute in y:                     -3 - 7(2x + 3) = 10xDistribute -7:                        -3 - 14x - 21 = 10xCombine like terms:            -14x - 24 = 10xAdd 14x on both sides:        -24 = 24xDivide 24 on both sides:     -1 = xRewrite:                                 x = -1

Step 5: Solve for y

Define original equation:                    -3 - 7y = 10xSubstitute in x:                                     -3 - 7y = 10(-1)Multiply:                                                -3 - 7y = -10Add 3 to both sides:                            -7y = -7Divide -7 on both sides:                      y = 1

Step 6: Graph

Check the solution set.

Determine if the following table represents a linear function. If so, what's the rate of change?

x y
2 3
4 6
6 9
8 12

a-No (non-linear function)


b-Yes; rate of change =23

c-Yes; rate of change = 2


d-Yes; rate of change =32

Answers

The Answer would be C

Express it in slope form

Answers

Answer:

y=1/3x-4

Wish i could explain but i gtg

Step-by-step explanation:

Someone help me please.


Find the measure of 0.(to the nearest tenth)

Answers

Answer:

I don't believe any are correct, from what I know its 36.9.

Step-by-step explanation:

sorry I know this isn't help full good luck!

2 cadenas de operaciones distintas cuyo resultado sea 325 utilizando las 4 operaciones básicas

Answers

Answer:

Dos cadenas de operaciones matemáticas distintas, cuyo resultado sea 325 utilizando las 4 operaciones básicas (suma, resta, multiplicación y división) pueden ser las siguientes:

((2 + 8) / 2) x 65 = 325

10 / 2 x 65 = 325

5 x 65 = 325

325 = 325

((300 / 10) x 15) - 130 + 5 = 325

(30 x 15) - 130 + 5 = 325

450 - 130 + 5 = 325

325 = 325

The 2 different chains of operations resulting in 325 using the 4 basic operations are;

[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]

and;

[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]

According to the question, we are to find 2 different chains of operations resulting in 325 using the 4 basic operations.

The four basic operations are addition(+), subtraction(-), division(÷) and multiplication (×).

One of the chains of operation will be:

[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]

Another chain of reaction will be:

[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]

Learn more here: https://brainly.com/question/22224175

The sum of a two-digit number is 11. The reverse number is 9 greater than the original number. Find the reverse number.

Answers

Answer:

56

Step-by-step explanation: so 5+6=11, 65 is th

reverse of 56, 56+9=65

f(x)=3x^2 – x+5, 2f(–3) – f(2)

Answers

The answer is, f(x) = 6x-1

Find the value of the expression 0.5^10/0.5^7

Answers

Answer:

The solution is:

[tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]

Step-by-step explanation:

Given the expression

[tex]0.5^{10}\div 0.5^7[/tex]

Solving

[tex]\frac{0.5^{10}}{0.5^7}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

so

[tex]\frac{0.5^{10}}{0.5^7}=0.5^{10-7}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:10-7=3[/tex]

[tex]=0.5^3[/tex]

[tex]=0.125[/tex]        ∵ [tex]0.5^3=0.125[/tex]

Therefore, the solution is:

[tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]

Find the difference -1/8-(-6 7/8)

Answers

Answer:

The difference is 6 3/4

Step-by-step explanation:

Plz give brainliest I am trying to rank up.

The area of a circle is equal to

Answers

Answer:

A=[tex]\pi r^{2}[/tex]

Help me!!!

What is the polar form of -273-6/?
O 2V6 (cos(") + isin (3)
O 475 (cos () + isi (20)
o 2V7 (cos(7") + sin(47)
O 483 (cos(47) + isin (47)

Answers

See attachment for answer:

Help

The diameter of the circle is 8in

Answers

Answer:

25.13 or 8pi

Step-by-step explanation:

Rita charges $60 for 5 tutoring session. What is the cost per session?

Answers

Answer:

$12=$60÷5. 12dollars is the answer

Calculate the TOTAL mechanical energy of a pendulum (mass 4 kg) as it swings from its highest point to its lowest point. Use your equations for gravitational potential energy and kinetic energy to determine these values based on the data given below. Total energy is the sum of gravitational potential energy and kinetic energy. In this problem, round gravity to: g = 10 m/s2.
**** BONUS POINTS ADDED FOR ANSWER****

Answers

Answer: its should be 2.0 and 4.5 on it ✨

Step-by-step explanation: trusttt me

The diameter of a circle is 20 centimeters. What is the radius?

Answers

Answer:

10

Step-by-step explanation:

radius is the middle point of a circle, therefore divide it in half.

The graph models the path of a soccer ball, showing the vertical distance, in yards, as a function of the horizontal distance, in yards.

Answers

let f(x)=-3x^3 + 21x^2 + 4x+4. what is the valu of f(-4)? can anyone answer this please

2 is less than or equal to x is less than or equal to 4

Solve: 3x – 8 = 6(1 – 2x) + 16

Answers

Answer:

x=2

Step-by-step explanation:

3x-8=6-12x+16

3x+12x=22+8

15x=30

x=2

Answer:

x=2

Step-by-step explanation:

It's right bc I took the test and got it 100%

They who answer first, brainliest is thy prize

Answers

Answer:

Quotient: 3x+3

remainder: -2x+5

Step-by-step explanation:

Use polynomial long division

A company borrows $52,500 for 5 years at a simple interest of 3.5% to buy cabinets.

Answers

I=Prt is the correct formula to find simple interest.
I=52500(.035)(5)
I=9187.5

Answer: $9,187.50

6/7 ÷ 1/6



this is for flash cuz hes smart​

Answers

Answer:

5.1

Step-by-step explanation:

What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?

Answers

Answer:

(x+1)^2+(y+4)^2=16

Step-by-step explanation:

equation of the circle

(x-x0)^2+(y-y0)^2=r^2

where x0 and y0 is center of circle

and r is radius of the circle.

we know that the center point is the middle of the diameter

so x0=(x1+x2)/2

x0=(3+(-5))/2=-2/2=-1

y0=(-4+(-4))/2=-8/2=-4

so the midpoint or the center of circle is the points (-1,-4)

the formula to find the distance between two. points is √[(x2-x1)^2+(y2-y1)^2]

so r is the distance between the center point and one of the diameter endpoints.

let us take points (3,-4) and center point (-1,-4)

√(-1-3)^2+(-4-(-4))^2=

√(-4)^2+0^2=

√16=4

so the radius of the circle is 4

now the equation of the circle will be

(x-(-1))^2+(y-(-4))^2=4^2

(x+1)^2+(y+4)^2=16

Find the value of y when x = -5

Answers

Answer:

there isn't even a y here

Step-by-step explanation:

Did you not write the while question?

23) Solve for :
-3x + 14 > -13.

Answers

Answer:

x < 9

Step-by-step explanation:

-3x + 14 > -13

-3x > -13 - 14

-3x > -27

-x > -27 ÷ 3

-x > -9

x < 9

Answer:

explaination. a ah. is

if f(x)= 1/x+2, what is f(3+h)?

A. 1/ (x+2)(3+h)
B. (3+h)/(x+2)
C. 1/(3+h)
D. 1/ h+5​

Answers

Answer:

D. 1/h+5

Step-by-step explanation:

f(x)=1/3+h+2

F(x)=1/h+5

Scott runs 3 miles in 27 minutes.
How many miles does he run per minute?

Answers

Answer: 1/9 of a mile

Step-by-step explanation:

3/27=x/1

27x=3

Divide by 27

3/27=1/9

Answer:

9

Step-by-step explanation: 9 +9 +9=27

What is the slope of the line represented by the equation 3x+4y=12?

Answers

Answer:

-3/4

Step-by-step explanation:

3x+4y=12

-3x -3x

4y=-3x+12

÷4 ÷4

y=-3/4x+12

Answer:

-3/4 or -0.75

Example:

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