Write the polynomial as a product of a difference and a sum: b^2-4/9

Answers

Answer 1

Answer:

[tex] \sf \huge \boxed{ \boxed{(b + \frac{2}{3} )(b - \frac{2}{3} )}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:algebraPEMDAStips and formulas:[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]let's solve:[tex] \sf \: rewrite : \\ ( {b})^{2} - ( \frac{2}{3} {)}^{2} [/tex][tex] \sf use \: the \: formula : \\ (b + \frac{2}{3} )(b - \frac{2}{3} )[/tex]

Answer 2

Answer:

Solution given:

[tex]b^{2} -\frac{4}{9}[/tex]=[tex]b^{2} -\frac{2^2}{3^2}=b^2 -(\frac{2}{3})^2[/tex]

it is in the form of x²-y²=(x+y)(x-y)

so

[tex]b^2 -(\frac{2}{3})^2=(b+\frac{2}{3})(b-\frac{2}{3})[/tex] is A required polynomial.

Step-by-step explanation:


Related Questions

The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes. The advertised duration of the trip is 2 hours and 15 minutes. The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they are on time 95% of the time. How much do they have to reduce the standard deviation

Answers

Answer:

2.88 minutes

Step-by-step explanation:

Solution can be found in attachment.

Nicolas was testing
H0 : mu = 24
H0 : μ = 24
His test statistic was t = -1.79. Assume that the conditions for inference were met. What is the approximate P-value for Nicolas' test?
A. 0.0441.
B. 0.0505.
C. 0.0882.
D. 0.1010.

Answers

Answer:

B. 0.0505

Step-by-step explanation:

Test statistics technique is used to assess the condition whether to accept or reject the null hypothesis. Test statistics value is compared with the p-value in order to determine the status of null hypothesis. Nicolas test has t-value of 1.79 and degrees of freedom is assumed to be 11. The p-value for the Nicolas test is 0.0505.

Answer:

D. 0.1010

Step-by-step explanation:

X
38°
750
x= -
degrees

Answers

It's pretty simple
Given: A = 38
B = 75
Solution:
The sum of all angles of a triangle = 180
So,
A + B + C = 180
38 + 75 + C = 180
C = 180 - 113
C = 67

Help me please I give brainliest and be serious

Answers

Answer:

y=120

Step-by-step explanation:

y=0.75x-0.15x

x=200

y=0.75x200-0.15x200

y=150-30

y=120

I hope this helps :D

What is the measure of angle TSU?

Answers

Answer:

63°

Step-by-step explanation:

TSU = 180 - 117 = 63

Answer:

plz give them brainliest

Step-by-step explanation:

how many solutions does this problem have 2x – 4 = 2(x – 2)​

Answers

Answer:

= 0

Step-by-step explanation:

Let's solve your equation step-by-step.

2x−4=2(x−2)

Step 1: Simplify both sides of the equation.

2x−4=2(x−2)

2x+−4=(2)(x)+(2)(−2)(Distribute)

2x+−4=2x+−4

2x−4=2x−4

Step 2: Subtract 2x from both sides.

2x−4−2x=2x−4−2x

−4=−4

Step 3: Add 4 to both sides.

−4+4=−4+4

0=0

Mar 12, 8:09:33 PM
Triangle MNO is similar to triangle PQR. Find the measure of side RP. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
O
Q
21
49
M M
N
13
P
Answer:
Submit Answer

Answers

seems to be that RP=69

Select all the reasons why random samples are preferred over other sampling methods. A random sample is likely to give you a sample that is representative of the population. A random sample is likely to give you a sample that is representative of the population. If you select a random sample, you can determine how many people you want in the sample. If you select a random sample, you can determine how many people you want in the sample. A random sample is a fair way to select a sample because each member of the population has an equal chance of being selected. A random sample is a fair way to select a sample because each member of the population has an equal chance of being selected. A random sample is always the easiest way to select a sample from a population.

Answers

Answer:

The following statement below are reasons why random sampling are preferred over other sampling:

O.  A random sample is a fair way to select a sample because each member of the population has an equal chance of being selected.

O.  A random sample is always the easiest way to select a sample from a population.

O.  A random sample is likely to give you a sample that is representative of the population.

Step-by-step explanation:

Please help will give brainliest

Answers

Answer:

25 is the area because5 times 5 equals 25

Step-by-step explanation:

hope this helps

Answer:

25

Step-by-step explanation:

Dan has ¾ of a cake left over from his birthday party. His best friend Amy ate 1/7 of the leftover cake. How much of the cake does Dan have left?

Answers

Answer:

9/14 of cake left

Step-by-step explanation:

3/4 left and 1/7 of that eaten:

3/4 - 3/4(1/7) = (3/4) (1 - 1/7) = (3/4)(6/7) =18/28 = 9/14

Answer:

9/14

Step-by-step explanation:

tell me in I'm wrong

Help please it’s for home work

Answers

Slope would be 2
Y intercept would be 2
y = 2x + 2

Find the indicated function values for the following function:
f(x) = 2x² - 3x + 4
7. f(-2) =
a. 18
b. 2
C. 6
d. none of the above

Answers

Answer:

7. A

8. C

Step-by-step explanation:

7. 2(-2)^2 - 3(-2) + 4 = 18 (A.)

8. 2(3a)^2 - 3(3a) + 4 = C

Explain the order in which you should compute the operations in the expression below.

[(33 / 3) + 1] - 2^2

Answers

1. You would divide the 33/3 first to get 11

2. Then you would add 1 to that answer to get 12

3. Then you would subtract 2^2 from that to get 8

Your answer would be 8.

Yesterday there were 100 people in my shop. 25% of them bought something. How many People did not buy something?​

Answers

Answer:

75 people did not buy something

75

Step-by-step explanation:

25% of people bought something

25/100 x 100% = 25 people bought something..

100 people in your shop - 25 people bought something

= 75 people did not buy something

What is the volume of a rectangular prism with a height of 6 m, a length of 4 m, and a
width of 2 m?

Answers

48

Volume = length x width x height
4(2) = 8
8(6) = 48

Find two numbers the quotient is between. Then estimate the quotient.

170 ÷ 4

Multiply 4 by multiples of 10 to estimate the quotient. The quotient is between
and
.

The estimate for the quotient is
.Find two numbers the quotient is between. Then estimate the quotient.

170 ÷ 4

Multiply 4 by multiples of 10 to estimate the quotient. The quotient is between
and
.

The estimate for the quotient is
.

Answers

Urdu it’s between 16 and 20
The estimate for the quotient is 16

what's 2x3x4x7x6x9x0​

Answers

Answer:

0

Step-by-step explanation:

=)

Cameron is berry picking at the Berry Best farm. He wants to pick a total of 2 gallons of berries. After 30 minutes of picking, he has 6 pints of berries. For how many more minutes does Cameron need to pick berries to reach his goal?​

Answers

Answer:

50 minutes

Step-by-step explanation:

2gal×4 qt in a gallon= 8 qt

8qt× 2pt in a qt= 16pt

16pt÷6 pt= 2.66

2.66×30= 80 min

80min-30min= 50 minutes

Please Help! One natural number is 4 more than the other one. The product of the two numbers is three times the square of the smaller number. Find the numbers.​

Answers

Answer:

Let n and n+4 be the numbers. Then:

n² + 3(n+4)=66

n²+3n-54=0

(n+9)(n-6)=0

n=6 or -9

n+4=10

Assuming positive integers only, the numbers are 6 and 10…..

Step-by-step explanation:

100% right

Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.

What are Natural numbers?

Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.

Let the first number(bigger number) be 'a', and the smaller number be b.

As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,

a = b + 4

Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,

[tex]ab = 3(b^2)\\[/tex]

As the value of a = b+4, substitute the value of a,

[tex](b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2[/tex]

Thus, the value of b is 2.

In order to get 'a' add 4 to the value of b, therefore, the value of a is,

[tex]a = b+4\\\\a = 2+4 \\\\a=6[/tex]

Hence, the two natural numbers are 4 and 6.

Learn more about Natural numbers:

https://brainly.com/question/17429689

Solve the following system of equations with the substitution method

Answers

The answer is (X,Y) = (8,24)

Gabrielles age is three times Mikes age. The sum of their age is 88 what is Mikes age?

Answers

Answer:

22

lets say that mike's age is x.

then gabrielle's age is 3x

that means that

x+3x=88

4x=88 /:4

x=22

Answer:

22

Step-by-step explanation:

PLZZZ HELPPPPP THE ASSINGMENT IS ALREADY LATE PLSS SOMONE HELP​

Answers

Answer:

16291.8

Step-by-step explanation:

271.53×60

Multiply 271.53 and 60 to get 16291.8.

16291.8

Evaluate b2−16a+5 when a=1/2 and b=7.

Answers

Answer:

11

Step-by-step explanation:

7x2=14

16x1/2=8

14-8=6

6+5=11

The evaluation of the given equation when the a is 0.5 and b = 7 so it should be considered as the 46.

Evaluation of the given equation;

Since the equation is

[tex]b^2 - 16a + 5[/tex]

So,

[tex]= (7)^2 - 16(0.5) + 5[/tex]

= 49 - 8 + 5

= 46

Hence, The evaluation of the given equation when the a is 0.5 and b = 7 so it should be considered as the 46.

Learn more about an equation here: https://brainly.com/question/14170257

What is the best fit line for the given data

Answers

I’m pretty sure it’s 3

HELPPPP VERY FAST!
Lisa had five dollars her friend had some amount of money together they had $20 how much money did Lisafriend have

Answers

Answer:

$15... 20-15=5

Step-by-step explanation:

Her friend more rich than her, lol

Answer:

Lisafriend has $15 (5+15=20)

Benjamin is 3 inches less than twice as tall as his little brother. Write an expression for Benjamin's height. How tall is Benjamin if his brother is 28 inches tall?

Answers

28*2-3=53 inches
Or 4’5”

help anyone trying to get my assignments done over the weekend!!

Answers

The answer is A the tax would be 3.50 which is 7% of 50.

Leonardo puts $450 in a bank account that earns 3.5% simple interest. How much interest will he earn in four years?

Answers

Answer:

$63

Step-by-step explanation:

Answer:

$63

Step-by-step explanation:

Which expression can be used to represent the volume of the prism

Answers

Answer:

Volume of the given figure = 54 cubic units.

Step-by-step explanation:

[tex]volume \: = length \times width \times height \\ here \: length = 9units \: width = 2units \: \: height \: = 3units \\ \\volume = 9 \times 2 \times 3 \\ = 54 \: cubic \: units[/tex]

6 divided by 2^5 (9x4-5^5+8)

Answers

Answer:

577.6875

Step-by-step explanation:

(6 / (2^5)) * ((9×4) - (5^5) + 8) = 577.6875

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