Express the product of (1/2x - 5/3) and (1/2x-1) as a trinomial in simplest form.

Answers

Answer 1
Can be simplified to
1/4x^2 -4/3x +5/3
Using the FOIL method
Express The Product Of (1/2x - 5/3) And (1/2x-1) As A Trinomial In Simplest Form.
Answer 2

[tex]\longrightarrow{\green{ \frac{ {x}^{2} }{4} - \frac{4x}{3} + \frac{5}{3} }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( \frac{1}{2} x - \frac{5}{3} ) \times ( \frac{1}{2} x - 1) \\ \\ = \frac{1}{2} x \: ( \frac{1}{2} x - 1) - \frac{5}{3} \: ( \frac{1}{2} x - 1) \\ \\ = \frac{ {x}^{2} }{4} - \frac{x}{2} - \frac{5x}{6} + \frac{5}{3} \\ \\ = \frac{ {x}^{2} \times 3 }{4 \times 3} - \frac{x \times 6}{2 \times 6} - \frac{5x \times 2}{6 \times 2} + \frac{5 \times 4}{3 \times 4} \\\\ = \frac{3 {x}^{2} - 6x - 10x + 20}{12} \\ \\ = \frac{3 {x}^{2} - 16x + 20 }{12} \\\\= \frac{ {x}^{2} }{4} - \frac{4x}{3} + \frac{5}{3} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]


Related Questions

I need help it please

Answers

100 Minutes of practice

Answer:

5 minutes of practice it shows at the bottom

A right triangle ABC is shown below:
The are of the triangle above will equal one-half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8) (1 point)

Answers

i don’t know how to explain it, but the answer is 2
the answer to this question is 2

Factorise x2 - 2x - 3

Answers

(x+1)(x-3)
x= -1,3
This is the answer

The factorization of x² - 2x - 3 is  (x+1)(x-3).

The given quadratic equation is,

x² - 2x - 3

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

Hence to factorize we can write the given quadratic equation as,

⇒ x² - 3x + x - 3

⇒ x(x-3) + (x - 3)

⇒ (x+1)(x-3)

Hence,

x² - 2x - 3 =  (x+1)(x-3)

To learn more about quadratic equation visit:

https://brainly.com/question/30098550

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Kevin paid $8.21 for 6 gallons of gas. How much did one gallon of gas cost (rounded to the nearest cent)

Answers

Answer:

$1.37 (1.368333)

Step-by-step explanation:

6 divided by 8.21

$1.37 ($8.31 divided by 6 )

How does the mean absolute deviation (MAD) of the data in set 2 compare to the mean absolute deviation of the data in set 1?

Set 1: 16, 15, 10, 12
Set 2: 16, 62, 15, 10, 12
The MAD of set 2 is 10 less than the MAD of set 1.
The MAD of set 2 is 13.35 more than the MAD of set 1.
The MAD of set 2 is 10 more than the MAD of set 1.
The MAD of set 2 is 13.35 less than the MAD of set 1.

Answers

Answer:   B, That the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.  

Step-by-step explanation:

Answer:

the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.  

Step-by-step explanation:

the M.A.D of set 2 is 13.35 more that the M.A.D of set 1.  

What is the 11th term of the sequence 7, -21, 63

Answers

Answer: 413343

Step-by-step explanation:

This is a geometric progression. First and foremost, we've to find the common ratio which will be:

= 2nd term / 1st term

= -21/7

= -3

The formula to find the 11th term will be:

= ar^n-1

where,

a = first term = 7

r = common ratio = -3

n = number of terms = 11

Therefore, ar^n-1 = 7 × -3^11-1

= 7 × -3^10

= 7 × 59,049

= 413343

Therefore, the 11th term of the sequence is 413343.

please answer thanks​

Answers

Answer:

ED = 31

DT = 20

Step-by-step explanation:

m< ESD = 90-52=38°

the distance ED = 40×tan 38° = 31.25 = 31

ET = 40 x tan (90-38) = 40×tan 52°

= 51.19= 51

the distance DT = 51-31 = 20

Pablo deposits $5000 into an account that pays simple interest at a rate of 3% per year. How much interest will he be paid in the first 6years?

Answers

Answer:

$5900

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Simple Interest Rate Formula: A = P(1 + rt)

P is principle amountr is ratet is time (in years)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 5000

r = 3% = 0.03

t = 6

Step 2: Find Interest

Substitute in variables [Simple Interest Rate Formula]:                                 A = 5000(1 + 0.03 · 6)(Parenthesis) Multiply:                                                                                       A = 5000(1 + 0.18)(Parenthesis) Add:                                                                                            A = 5000(1.18)Multiply:                                                                                                             A = 5900

solve the following equation algebraically ? please !

Answers

Answer: A

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

The opposite of squared is square root, so you'll have to square root 192 and you'll get the answer 13.86.

The reason it is B, because the x could have been negative, when you're squaring a negative you get a positive. that's why B is the answer because we do not know if it's the negative or positive.

You have a flight at 7:30 you have 1 hour and 27 minutes to get ready and 30 minutes to get to the airport what time do you wake up

Answers

Answer:

5:33 am

Step-by-step explanation:

You need to be at the airport at 7:30

Subtract 30 minutes for travel

7:30 -30 = 7:00

You need 1 hour and 27 minutes to get ready

Subtract 1 hour

7-1 =6:00 am

Subtract 27 minutes

6:00 am - 27 minutes

5: 60 - 27   ( Remember there are 60 minutes in 1 hour)

5:33 am

You need to get up at 5:33 am

Check

5:33 plus 1 hr 27 minutes = 7:00 am + 30 minutes travel = 7:30 am

One of the factors of 34 is chosen at random. What is the probability that the factor is itself a two digit number?

Answers

A factor of 30 is chosen at random. What is the probability, as a decimal, that it is a 2-digit number?

The positive whole-number factors of 30 are:

1, 2, 3, 5, 6, 10, 15 and 30.

So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that

P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors

=38=3×.125=.375

Solve the system of equations



4x + 2y + 1 = 1
2x − y = 1
x + 3y + z = 1

Answers

Answer:

x = 1/4

y = -1/2

z = 9/4

Step-by-step explanation:

Here we have a system of 3 equations with 3 variables:

4*x + 2*y + 1 = 1

2*x - y = 1

x + 3*y + z = 1

The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:

2*x - y = 1

2*x - 1 = y

Now that we have an expression equivalent to "y", we can replace this in the other two equations:

4*x + 2*(2*x - 1) + 1 = 1

x + 3*(2*x - 1) + z = 1

Now let's simplify these two equations:

8*x - 1 = 1

7*x - 3 + z = 1

Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:

8*x - 1 = 1

8*x = 1 + 1 = 2

x = 2/8 = 1/4

Now that we know the value of x, we can replace this in the other equation to find the value of z.

7*(1/4) -3 + z = 1

7/4 - 3 + z = 1

z = 1 + 3 - 7/4

z = 4 - 7/4

z = 16/4 - 7/4 = 9/4

z = 9/4

Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:

y = 2*(1/4) - 1

y = 2/4 - 1

y = 1/2 - 1

y = -1/2

Then the solution is:

x = 1/4

y = -1/2

z = 9/4

In the parallelogram below x=?

Answers

Answer:

x = 12

Step-by-step explanation:

The sides are congruent

5x - 17 = 3x + 7

Subtract 3x from both sides

2x - 17 = 7

Add 17 to both sides

2x = 24

Divide both sides by 2

x = 12

Answer:

X=0.8

Step-by-step explanation:

First collect all the light terms '7' and '17' '-17+7=-10'

And '3x' and' 5x' '3x+5x=8x'

So if you put this as an equation you will have '8x=-10'

Next you do 8 divided -10

Then you get 0.8

a Dhruv sold one second-hand car for 1,10,500 and two second-hand scooters for 7,500 each.​

Answers

Answer:i actually dunno

Step-by-step explanation:

wat

Find the volume of the figure shown below.


A)14 units^3
B)9 units^3
C)None of these answers
D)There’s not enough info
E)24 units^3

Answers

Answer:

E. 24 units³

Step-by-step explanation:

the volume = 4×3×2 = 24

how do you find the rate of change for a function over a given interval

Answers

Step-by-step explanation:

Differentiate it. You will be given a value of x. Substitute into the differentiated equation use the formula for rate of change. You will find the answer

Formula:

[tex]\frac{\alpha y}{\alpha x} =\frac{dy}{dx }[/tex]

What is the answer to 8x < 48

Answers

Answer:

x<6

hope this helps

have a good day :)

Step-by-step explanation:

GHK has been reflected over what line to create the resulting image?

Answers

Answer: y=x

Step-by-step explanation:

Find the vertex of the parabola. y = 3x2 – 30x + 77 a (-2,-5) b. (-5, -2) C. (5,2) d. (2,5) Please select the best answer from the choices provided Ο Α OB ОС D​

Answers

Answer:

[tex]\text{C. }(5,2)[/tex]

Step-by-step explanation:

The x-coordinate vertex of a parabola in standard form [tex]ax^2+bx+c[/tex] is equal [tex]\frac{-b}{2a}[/tex].

In [tex]y=3x^2-30x+77[/tex], we have:

[tex]a[/tex] equals 3[tex]b[/tex] equals -30

Therefore, the x-coordinate of the vertex is equal to [tex]\frac{-(-30)}{2(3)}=\frac{30}{6}=5[/tex].

To find the y-coordinate, simply substitute [tex]x=5[/tex] into the parabola's equation:

[tex]y=3x^2-30x+77,\\y=3(5^2)-30(5)+77,\\y=75-150+77,\\y=-75+77=2[/tex]

Thus, the vertex of the parabola is [tex]\boxed{(5,2)}[/tex]

Helppppppppppppppppppppppppppp the question is post on my page

Answers

The answer is going to be 1650 it’s easy you just gotta read it addition

2x + 5y = 17
what is x
what is y

Answers

Answer:

x = (17 - 5y)/2

y = (17 - 2x)/5

Step-by-step explanation:

nothing else can be done here.

if you are looking for actual numbers as solution, then you have forgotten to put something important here.

to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.

I really don't understand i need help asap. They were asking to find f(-8)

Answers

Answer:

i dont get it either

Step-by-step explanation:

For students who first enrolled in a two year public institution in 2013, the proportion who earned a bachelor's degree in six years was 0.236. The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.
(a) Determine the null and alternative hypotheses.
(b) Explain what it would mean to make a Type I error.
(c) Explain what it would mean to make a Type II error.

Answers

Answer:

H0 : p = 0.236

H1 : p > 0.236

Type 1 error is committed by incorrectly rejecting a true null hypothesis

Type 11 error is committed by incorrectly accepting a false null

Step-by-step explanation:

The null and alternative hypothesis :

H0 : p = 0.236

H1 : p > 0.236

A type 1 error is made when a null hypothesis is incorrectly rejected, Hence in this scenario, a type 1 error will be committed of we conclude that the proportion who earned bachelor's degree is more Than 0.236 when the actual proportion not more than but equal to 0.236

A type 11 error is committed when we fail to reject a false null hypothesis. This means that if the actual proportion who earned a bachelor's degree is more than 0.236 and we fail to reject the null which says the proportion is not more than 0.236

The flags are all the same size and are space equally along the line. Calculate the length of the sides of each flag, and the space between flags by making a system of equations and solving that system..

Answers

Answer:

Step-by-step explanation:

Let the space between flags be "x" and the flag's side is "y"

2x + 3y = 80   ║ × ( - 2 )

5x + 6y = 170

- 4x - 6y = - 160 ..... ( 1 )

5x + 6y = 170 ..... ( 2 )

( 1 ) + ( 2 )

x = 10

2(10) + 3y = 80

y = 20

The space between flags is 10 cm

The flag's sides are the same size and is 20 cm

Someone please help.

Answers

Answer:

Slope = -17

Step-by-step explanation:

We are given the equation of the line to be:

y = -17x + 47/3 which is in the slope-intercept form.

Recall: equation of a line in slope-intercept form takes the following format:

y = mx + b

Where,

m = slope of the line

b = y-intercept of the line

Thus, the slope of the line (m), y = -17x + 47/3 would be -17

The coordinates of parallelogram UVWZ are U(a, 0), W(c − a, b), and Z(c, 0). Find the coordinates of V without using any new variables.


(a, b)


(b, 0)


(c, b)


(0, b)

Answers

Answer:

C

Step-by-step explanation:

Your welcome! :) Good luck!

Instructions: Find the value of x
Please help

Answers

The two chords are the same length given by the 4 short lines through each section.

Because the chords are the same length they need to be equal distance from the center of the circle

X = 9

rectangular garden width 2.3 meters and a length of 2.8 meters what is the area

Answers

Answer:

area = 2.3 x 2.8

area is 6.44 meters

Step-by-step explanation:

area is length multiplied by width

20 points & Brainliest to the one who gets ALL of them correct! NEED HELP ASAP!!! Due today!!!

Verify these Identities & SHOW YOUR WORK:

1. cosx−cosxsin²x = cos³x

2. [tex]\frac{sinx}{1+cosx}[/tex] = [tex]\frac{1-cosx}{sinx}[/tex]

3. cos⁴b−sin⁴b = 1−2sin²b

4. [tex]\frac{siny+cosy}{siny}- \frac{cosy-siny}{cosy}[/tex] = [tex]\frac{secy}{cosy}[/tex]

5. (secx−tanx)² = [tex]\frac{1-sinx}{1+sinx}[/tex]

HELP!!!

Answers

Answer:

30

Step-by-step explanation:

Answer: go on mathaway!!!

Step-by-step explanation:

This dosent really help with ur question but mathaway is free and got me through math

There are 4 good apples and 3 bad apples. You pick 2 apples at random. What is the probability that you pick 1 good apple and 1 bad apple?

Answers

Answer:

[tex]P(Good\ and\ Bad) = 12/49[/tex]

Step-by-step explanation:

Give

[tex]Good = 4[/tex]

[tex]Bad = 3[/tex]

Required

[tex]P(Good\ and\ Bad)[/tex]

This is calculated as:

[tex]P(Good\ and\ Bad) = P(Good) * P(Bad)[/tex]

So, we have:

[tex]P(Good\ and\ Bad) = n(Good)/Total * n(Bad)/Total[/tex]

[tex]P(Good\ and\ Bad) = 4/7 * 3/7[/tex]

[tex]P(Good\ and\ Bad) = 12/49[/tex]

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