The roots of a certain quadratic equation is 1 and 2/3. Determine the equation

Answers

Answer 1

Answer:3x^2-5x+2=0

Step-by-step explanation:

Format of a quadratic equation= ax^2 +bx+c

Let x=1 and 2/3

When x=1

x-1=0.......(1)

When x=2/3

x-2/3=0.........(2)

Compare the equations

(x-1)(x-2/3)=0

x^2-2/3x-x+2/3=0

x^2-5/3x+2/3=0

Multiply all terms by 3

3x^2-5x+2=0


Related Questions

Can someone help me please

Answers

Answer:

The answer to number one is 11√17

The answer to number two is 4

Step-by-step explanation:

In number one: once you get both radicands to be equal, then you can add them. Like of it like 3x+2x. The x’s are like terms, so you can add them together.

In number two: the √5 on the top and bottom cancel out. This leaves 12/3 which is equal to 4.

What is the square root of -1?

Answers

Answer:

Second choice: i

Square root of -1 is an imaginary number, represented as i.

Please mark as BRAINLIEST! Thanks!

Match the Exponential functions to the Y intercept.

Answers

Answer:

f(x)= -10^x-1-10= (0,-101/100)

f(x)= -3^x-2-1= (0,-10/9)

f(x)= -3^x+5-9= (-252)

f(x)= -17^x-1+2 = (0,33/17)

The maximum height of a vehicle that can pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge?

Answers

Answer:

The truck can not safely pass under the bridge

Step-by-step explanation:

The maximum height in inches is 149in.

12 feet times 12 inches = 144 in

144 +5 = 149in

If the truck is 162 inches than it would not be safe for it to pass under the bridge.

I hope this helps you!

i think of a number, add 3 to it and multiply the result by 7.

Answers

Answer:

[tex]7(x + 3)[/tex]

Step-by-step explanation

thinked number = x

add 3 = +3

[tex]x + 3[/tex]

multiply the result by 7

[tex]7( x+ 3)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

the side of a square is 32/5, what is the area of the square

Answers

Answer: 1,024/25 or 40.96

Step-by-step explanation:

The length of one side of a square is 32/5, and all sides of a square have the same length, then all sides of the square have 32/5 as the length.

In order to get the area of the square, you need to multiply one side by another.

32/5 * 32/5 = 1,024/5 (fraction form)

32/5 = 6.4

6.4 * 6.4 = 40.96 (decimal form)

Evaluate and simplify 2ab-1/3e-3d

Answers

Answer: 2ab - e/3 - 3d

Step-by-step explanation:

2ab - 1/3e - 3d

= 2ab - 1e/3 - 3d

= 2ab - e/3 - 3d

Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $50. Now the cost is $59. What is the percent increase

Answers

Answer: 18%

Step-by-step explanation: Percentage of 9 in 50=

9/50 × 100= 0.18×100= 18%

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Angelina wants to put $4,550 in a bank account that earns 5.6% interest compounded quarterly, how much interest will she earn in 8 years?

Answers

Answer:

7,035.95

Step-by-step explanation:

If your Current Principal Is 4,550.00, and your interest rate is 5.6%, then in 8 years you would have 7,035.95 if your interest rate is anually.

If they are wanting to know the interest in 8 years...

8 years =

What is the greatest decimal place value?

Answers

Answer:

the digit farthest to the left

Answer:

The digit farthest to the left.

Step-by-step explanation:

I hope this helps

Based on the data, which table shows a constant of
proportionality of 2 for the ratio of granola to raisins?
Table A
Table B
Table C
Table D

Answers

Answer:

C

Step-by-step explanation:

4/2 =2

12/6 =2

20/10 =2

i think it's C yaaaaaaaaaa

HOW DO I FIND THE AREA OF DEF?

Answers

Answer:

169.7

Step-by-step explanation:

first lets find the other side of the small triangle

cos(30 degrees)=(7*sqrt (3))/x

x*cos(30 degrees)=7*sqrt (3)

x=(7*sqrt (3))/cos(30 degrees)

x=14

14/14=1

so proportion is 1/1

thus the bottom the outer part of the triangle is also 7*sqrt(3)

now, for the area

lets find the 2 side length of the triangle we need

DE: 14+14=28

DF: 7*sqrt(3)+7*sqrt(3)=14*sqrt(3)

let's find EF,

sin(30 degrees)=x/28

x/28=sin( 30 degrees)

x=28*sin( 30 degrees)

x=14

A=(14*sqrt(3))*14*0.5

A=(14*sqrt(3))*7

A= around 169.7

Answer:

≈169.7

Step-by-step explanation:

cos30 = (7[tex]\sqrt{3}[/tex])/x

x= (7[tex]\sqrt{3}[/tex])/cos30 = 14

h = 14+14 = 28

sin30 = EF/28

EF = sin30 * 28 = 14

tan30 = 14/DF

DF = 14/tan30 ≈ 24.248

Area = 24.248*14/2 ≈ 169.74 ≈ 169.7

Bryan’s golf coach suggested he take some golf lessons. The pro at windy fairways charges $20.00 per month plus $10.00 per lesson. The pro at sunny sands charges $100.00 per month for unlimited classes. How many classes does he have to take for both pros be the same price?

Answers

Answer:

8

Step-by-step explanation:

(100 - 20) / 10 = 8

Answer: He has to take a class per month from the both pros

Step-by-step explanation:

Which expression is equivalent to x5 • x2?

Answers

Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

= [tex]x^{5} * x^{2}[/tex]

When bases are same, powers are to be added

= [tex]x^{5+2}[/tex]

= [tex]x^{7}[/tex]

Which one of the following solids can produce this two-dimensional shape when sliced vertically?
Choose 1 answer:

Answers

A cone could be sliced parallel to one of its faces to get a circle.

Solve 3^x - 5. What are the exact and approximate solutions?​

Answers

Answer:

x = log(5) / log(3)

x=1.46497

Step-by-step explanation:

3^x - 5 =0

Add 5 to each side

3^x = 5

Take the log of each side

log 3^x = log 5

We know log a^b = b log (a)

x log (3) = log (5)

Divide side by log (3)

x = log(5) / log(3)

x=1.46497

Suma cyfr szukanej liczby dwucyfrowej jest równa 12. Jeżeli cyfry tej liczby przestawimy, to
otrzymamy liczbę większą o 18 od szukanej liczby. Wyznacz szukaną liczbę

Answers

Answer:

yes

Step-by-step explanation:

Please help me I need to finish today!

Answers

Answer:

C

Step-by-step explanation:

For Youfang, the time spent running is equal to 15 times the week


A sugar cookie recipe that makes 3 dozen cookies calls for 1.5 cups of white sugar. How much white sugar would you need to make 5
dozen cookies?

Answers

Answer:

Brainliest here!

Step-by-step explanation:

3 dozen cookies = 1.5 cups

one dozen cookies= 0.5 cups

5 dozen cookies = 2.5 cups of sugar

500 / 500 equals what 97 points and brainliest answer ASAP if possible

Answers

Answer:

1

Step-by-step explanation:

500/500=1

x / x = 1

Answer:

The answer is 1.

Step-by-step explanation:

This is because when you divide a number with each other then they cancel out to equal 1. This can happen with the letter x. So, x/x = 1.

Going back to the question 500/500 can cancel out to become 1.

The measures of is c.

Answers

Answer:

10

Step-by-step explanation:

By the Pythagorean Theorem:

[tex]c=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]

Hope this helps!

Which statement describes the relationship between x and y? A. As x increases y decreases B. As x increases y increases C. As x increases y increases and then decreases D. As x increases y decreases and then increases

Answers

Its c, as x increases y increases and then decreases

UN RECOLECTOR COMPLETA CUATRO CAJAS DE CAFE CADA CAJA LE CAVE 25/2 DE KILOGRAMOS DE CAFE SI SE RECOJE DIARIAMENTE CUATRO CAJAS¿CUANTOS KILOGRAMOS DE CAFE RECOJE EN TOTAL?

Answers

Answer:

El recolector recoge un total diario de 50 kilogramos.

Step-by-step explanation:

(The following problem is written in Spanish and for such reason explanation will be held in the same language)

La masa total diaria recogida es igual al número de cajas recogidas por día y la capacidad de la caja. Entonces:

[tex]m = n \cdot m_{unit}[/tex]

[tex]m = (4\,cajas)\cdot \left(\frac{25}{2}\,\frac{kg}{caja} \right)[/tex]

[tex]m = 50\,kg[/tex]

El recolector recoge un total diario de 50 kilogramos.

The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sigma = 0.2 in. What percentage of the parts will have lengths between 3.8 in. and 4.2 in.? 34% 68% 95% 99.7%

Answers

Answer:

b) 68%

The percentage of the parts will have lengths between 3.8 in. and 4.2 in

P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %

Step-by-step explanation:

Let 'X' be the normally distributed

mean 'μ'= 4 inches

standard deviation 'σ' = 0.2 inches

Case(i):-

when x₁ = 3.8 inches

[tex]Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{3.8-4}{0.2} = -1[/tex]

Case(ii):-

when  x₂= 3.8 inches

[tex]Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{4.2-4}{0.2} = 1[/tex]

The probability of the parts will have lengths between 3.8 in and 4.2 in

[tex]P( 3.8\leq x\leq 4.2) = P(-1\leq z\leq 1)[/tex]

                        = P(Z≤1) - P(Z≤-1)

                        =  0.5 +A(1) -(0.5-A(1)

                       = 2 A(1)

                       = 2×0.3413

                      = 0.6826

Conclusion:-

The percentage of the parts will have lengths between 3.8 in. and 4.2 in

P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %

Answer:

B

Step-by-step explanation:

E2020

Find the slope of the line
y
=
3
4
x
− 1
.

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:The answer is negative three

Step-by-step explanation:

Please answer no rush first CORRECT answer gets Brainiest.

Answers

the answer would be 2
because -8(17-12) would equal to -40 and -2(8-(-2)) would -20
and -20 over -40 equals to 2 since negative / negative would equal a positive number

The answer is 2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

solve ....... x/2 = 7

Answers

Answer:

x=14

Step-by-step explanation:

x/2=7

*7 on both sides

x=14

Answer: x=14

Step by step explanation:

Step 1: Multiply both sides by 2.

X/2*2=7*2

X=14

It was easy as that:D

Which of the follow best represents the slip of the line?

A - 3
B -1/3
C 1/3
D 3

Answers

Answer:

B

Step-by-step explanation:

The slope is negative since the line decreases from left to right. This means  that the slope is -1/3.

Which of the following reasons can be used to justify statement #4 in the proof?
A Given
B the vertical angle theorem
C the alternative interior angle theorem
D SSS​

Answers

Answer:

SSS postulate because three sides of a triangle are are congruent

Answer:

SSS

It is SSS because it is the end of the proof.

what is the ratio of 2 hours and 115 minutes​

Answers

2 hours = 120 minutes so the ratio is 120minutes:115minutes. Simplified is 24:23
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