Factories 24x^2-41x+12

Answers

Answer 1

Answer:

(3x - 4)(8x - 3)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 12 and sum = - 41

The required factors are - 32 and - 9

Use these factors to split the x- term

24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )

= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term

= (3x - 4)(8x - 3) ← in factored form


Related Questions

Need to find surface area please help

Answers

so the trapezoidal prism is really 4 rectangles and 2 isosceles trapezoids.

so we can simply get the area of each of those shapes and sum them up and that's the area of the prism.

[tex]\bf \stackrel{\stackrel{\textit{front and back}}{\textit{trapezoids}}}{2\left[ \cfrac{6(4+12)}{2} \right]}+\stackrel{\stackrel{\textit{left and right}}{\textit{rectangles}}}{2(6\cdot 6)}+\stackrel{\textit{top rectangle}}{(4\cdot 6)}+\stackrel{\textit{bottom rectangle}}{(6\cdot 12)} \\\\\\ 6(16)+72+24+72\implies 96+168\implies 264[/tex]

Samantha wants to use her savings of $1,150 to buy shirts and watches for her family. The total price of the shirts she bought was $84. The watches cost $99 each. Choose the inequality that would be used to solve for the maximum number of watches Samantha can buy with her savings.

A.99 + 84x ≤ 1,150
B. 99x + 84 ≥ 1,150
C.99x + 84 ≤ 1,150
D.99 + 84x ≥ 1,150

Answers

It would be C because you don’t know how many watches so there is a variable, x. Then the price has to be less then or equal to because the amount is the most she can use so it can’t be greater.

The required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given;

The cost of the shirt she bought = $ 84,

And the cost of each watch she bought = $ 99,

Now Suppose she bought x watches,

So, the cost of x watches = 99x dollars,

Also, her total spending = 84 + 99x

Since she has a total budget of $1,150,

That is her spending can not be exceed $ 1,150, ( or spending must be less than or equal to $ 1150 )

⇒ 99x + 84 ≤ 1,150

Hence the required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ2

write the expression in factored form. m^2-4

Answers

Answer:

(m-2)(m+2)

Step-by-step explanation:

a²-b²=(a-b)(a+b)

let m be a and 2 be b

m^2-2²=(m-2)(m+2)

For this case we must factor the following expression:

[tex]m ^ 2-4[/tex]

According to the formula of difference of squares we have:

[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]

We have to:

[tex]a = m\\b = 2[/tex]

So, we have:

[tex]m ^ 2-4 = (m + 2) (m-2)[/tex]

Answer:

The factored expression is:[tex]m ^ 2-4 = (m + 2) (m-2)[/tex]

Alex, his two sisters, and his dad are going to a movie. Alex
and his sisters can get student tickets. Adult tickets are three
dollars more than student tickets. Which algebraic expression
represents how much Alex and his family will spend to go to
the movies?

Answers

Let x represent student tickets
Let y represent adult tickets

y = 3.00 + x ..... (1)

Total cost
= 3x + y (3 student tickets and 1 adult ticket)
= 3x + 3+ x (sub equation (1))
= 4x + 3


What is the value of x?​

Answers

Answer:

139

Step-by-step explanation:

a pentagon has degrees that add up to 540 so considering youre given 401 degrees the remaining angle has to be 139

This shape is 540 degrees

100+100+112+89+x=540
X=139

Hope this helps !

If f(x)=0. 5(3-x), what is the value of f(-3)?

3
1. 5
0. 5
0​

Answers

[tex]

f(x)=0.5(3-x) \\

f(-3)=0.5(3-(-3)) \\

f(-3)=0.5\cdot6 \\

f(-3)=3

[/tex]

Hope this helps.

r3t40

What is the y intercept of the line whose equation is y=1/x-3

Answers

Answer:

x-intercept: (1/3,0)

y-intercept: none

Answer:

-3

Hope this helps! Please mark as brainliest.

y+ 2/y is it a polynomial in one variable or not? And if so, why?

Answers

Answer:

no because you have division by a variable

Step-by-step explanation:

If you have y   +   2/y as an expression, this expression is not a polynomial expression because you have division by variable.

You are looking for an expression with only positive or 0 integer exponents.  

Here are some examples of a polynomial:

5

5x+1

5x^2+x+1

-x

-x+1

3x^3+5x+1

4x^4+7x^2+x+1

and so on...

Here are some examples of expressions that aren't polynomials:

5+sqrt(x)

5+|x|

|x|-5

x^2+5|x|

5/x^3

6x^(-2)

and son on....

HELP NEEDED, will give Brainlist answer!

Answers

Answer:

(x^2-8x+7)  +      (-8x+9)/(4x^2+3x-2)

Step-by-step explanation:

Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordinates of the image after a reflection over the x-axis

Answers

Answer:

A'(-2, -3)  B'(0, -3)  C'(-1, 1)

Step-by-step explanation:

change the signs for the Y coordinates because you are reflecting over the X-Axis. so 3 becomes -3, and -1 becomes 1. leave the X coordinates unchanged.

The reflection triangle ABC over the x axis is A'(–2, -3), B'(0, -3), and C'(–1, 1).

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation

If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y).

The reflection of A(–2, 3), B(0, 3), and C(–1, –1) over the x axis is A'(–2, -3), B'(0, -3), and C'(–1, 1).

Find out more on Transformation at: https://brainly.com/question/1462871

In the literal equation below, what do C and F represent?
F = C + 32

Answers

Hi!

Let's take a look at the equation:

F = C + 32

What do we notice?

C and F are both variables.

Variables are unknown numbers represented by a letter.

In this case, C and F are the variables.

Hope this helps!

- Melanie

What is the value of log^7343

Answers

Answer:

3.86 (or 3.9)

Step-by-step explanation:

There's a logarithm function on a graphing calculator

The answer for this is 3.9

GIVING BRAINLIEST PLS HELP

Answers

Answer:

The first one: f(x) = 2

Step-by-step explanation:

In this case, we can see that for ALL values of 'x' the value of y=f(x) doesn't change, it's the same. That's why the function represented by the graph is f(x) = 2.

Answer:

f(x) =2

Step-by-step explanation:

Looking at the graph, the value of y does not change.  y always equals 2

y=2

Since this is in function notation

f(x) =2

Find the area of a trapezoid with a height of 23, base 1 of 10 and base 2 of 18

Answers

Formula of Trapezoid
Area= (b1+b2)/2*h

Area= (10+28)/2 * 23
Area= 38/2 * 23
Area= 19*23
= 437
Hope this helps!

Three times a number minus ten is equal to the sum of twice the same number and five. The equation below represents the situation. 3x - 10 = 2x + 5. What is the value of x? HELP FAST!!!!!!!!!!

Answers

Your answer is x = 15

You can find this simply by rearranging the equation:
3x - 10 = 2x + 5
(+ 10)
3x = 2x + 15
(- 2x)
x = 15

I hope this helps!

Write 60 as a product of prime factors in index form

Answers

Answer:

The prime factors of 60 are 2, 3, and 5.

Miguel’s bank is offering savings accounts with 4% interest compounded continuously, If Miguel invests $500 how much will he have after 2 years

Answers

Answer:

After 2 years Miguel will have in his account $541.64

Step-by-step explanation:

The formula for calculating compound interest continuously is:

[tex]A=pe^{rt}[/tex]

Where A is the amount of money obtained after t years.

r is the compound interest rate and p is the initial amount

In this case we have that:

[tex]p=\$500\\\\t=2\ years\\\\r=0.04[/tex]

Then we must find the final amount A

[tex]A=500e^{0.04(2)}[/tex]

[tex]A=\$541.64[/tex]

May I have help on question 14

Answers

Answer:

y=mx+b

(6,6)    (3,8)

6m+b=6

3m+b=8

6m+b-3m-b=-2

3m=-2

m = -2/3

-2+b=8

b=10

y = -2/3x+10

I choose 12.

-2/3(12)+10

=2

so put x as 12; y as 2.

Answer:

We want to add an x value we have not used before. A function has EVERY X IN A DOMAIN going to ONLY ONE Y value.

6,3,9,7 are already used for x.

so you can put in x = 8 and y = 12 as an answer. That will work and show a function. There are also other answers.

Step-by-step explanation:

State a true conclusion. 1) If a ● b = 0, then a = 0 or b = 0 2) 3x = 0 Conclusion:

Answers

Answer:

Conclusion: x = 0

Step-by-step explanation:

given: If a ● b = 0, then a = 0 or b = 0

then for 3x = 0, either 3 = 0 (not possible because 3 is obviously not zero) or x = 0 (answer)

X= 0 is the answer to your question

Question 1 of 10
Which of the following functions is graphed below?​

Answers

attach picture, where is below

The function that is graphed below is y = |x - 8| + 2.

Option A is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto-one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph of the function y = |x - 8| + 2 is a V-shaped graph with the vertex at the point (8, 2).

The function is defined as the absolute value of the difference between x and 8, plus 2.

When x is less than 8, the expression inside the absolute value bars, (x - 8), is negative, so the function becomes y = -(x - 8) + 2.

Simplifying this expression, we get y = -x + 10, which is the equation of a line with a slope of -1 and a y-intercept of 10.

This line goes downwards to the left of the vertex (8, 2).

When x is greater than 8, the expression inside the absolute value bars, (x - 8), is positive, so the function becomes y = (x - 8) + 2.

Simplifying this expression, we get y = x - 6, which is the equation of a line with a slope of 1 and a y-intercept of -6.

This line goes upwards to the right of the vertex (8, 2).

At the vertex (8, 2), the function takes the minimum value of 2.

Overall, the graph of the function y = |x - 8| + 2 is a V-shaped graph with the vertex at (8, 2), and two lines with slopes of -1 and 1 on either side of the vertex. The graph is symmetrical about the vertical line x = 8.

Thus,

The function that is graphed below is y = |x - 8| + 2.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Samuel is in charge of ordering lunch..

Answers

Answer:

The correct answer is D.

The correct identity Samuel should use is: D. (20 x 6) + (4 x 6) = 24 x 6

To find the total cost of ordering 24 lunch specials at $6.00 each, Samuel needs to compute 24×6.

The distributive property states that:

a×(b+c) = (a×b)+(a×c)

In this problem, we can break down 24 into 20 and 4, and then apply the distributive property.

This gives us:

24×6 = (20+4)×6

= (20×6) + (4×6)

Kite DCFE is inscribed in circle A shown below: (the picture)

If the measure of arc DEF is 266°, what is the measure of ∠DEF? Only enter numeric answer. Do not enter any units.

Answers

Check the picture below.

let's recall that a circle has a total of 360°, so the arcDCF is 360 - 266 = 94, and is the intercepted arc by the inscribed ∡DEF.


Will mark brainiest, thank, and rate to the best answer!!



The table shows the number of blue marbles and red marbles that four friends have collected.


Which person has the lowest ratio of blue to red marbles?

Jasmine

Aaron

Lucian

Gretchen

Answers

Hola! My name is Zalgo and I am here to help you out today. So, let's observer everyone's ratio and if it can be simplified, we can simplify ti to make it easier. Jasmine has 12:10, Aaron has 3:2, Lucian has 10:10 and Gretchen has 14:2. If we simplify Jasmines, for every 6 blue, she has 5 red (6:5). Lucian has an equal ration if we simplify it (1:1) and Gretchen would have 7 blue for every 1 red (7:1). So, the person with the lowest ration would be Lucian.

I hope that this helps! :3

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Gracias! XT)

Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have data shown in the table:

For Jasmine, the ratio of blue to red marbles:

12:10

6:5

For Aaron, the ratio of blue to red marbles:

3:2

For Lucian, the ratio of blue to red marbles:

10:10

1:1

For Gretchen, the ratio of blue to red marbles:

14:2

7:1

Thus, Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

NEED NOW!!!
Which equation represents a linear function?
y – 2 = –5(x – 2)
x + 7 = –4(x + 8)
y – 3 = y(x + 4)
y + 9 = x(x – 1)

Answers

Answer:

The first one: y - 2 = -5(x - 2)

Step-by-step explanation:

Answer:

the function y – 2 = –5(x – 2) is linear.

Step-by-step explanation:

We need to find the correct option from provided options which represents a linear function

Since, the linear equation is in the form of y=mx+c where m is slope of line.

In first part y – 2 = –5(x – 2)

Simplify, the function

[tex]y -2 = -5x + 10[/tex]

Add both the sides by 2, in above equation

[tex]y = -5x +12[/tex]

This function is in the form of y=mx+c

so, this is a linear function

In second part x + 7 = –4(x + 8)

Simplify, the function

[tex]x+7= -4x+32[/tex]

subtract both the sides by 7, in above expression

[tex]x= -4x+32-7[/tex]

[tex]x= -4x+25[/tex]

add both the sides by 4x,

[tex]x +4x= 25[/tex]

[tex]5x= 25[/tex]

divide both the sides by 5,

[tex]x =5[/tex]

This is not in the form of y=mx+c

so, this is not a linear function

In third part y – 3 = y(x + 4)

Simplify, the function

[tex]y-3= yx+4y[/tex]

add both the sides by 3,

[tex]y= yx+4y+3[/tex]

This is not in the form of y=mx+c

so, this is not a linear function

In fourth part y + 9 = x(x - 1)

Simplify, the function

[tex]y+9= x^{2}-x[/tex]

subtract both the sides by 9,

[tex]y= x^{2}-x-9[/tex]

This is not in the form of y=mx+c

so, this is not a linear function

Therefore, the function y – 2 = –5(x – 2) is linear.

Rational numbers are _____ natural numbers always sometimes never

Answers

Sometimes.

This is because natural numbers are 1, 2, 3, 4, 5...
Rational numbers are all numbers that can be simplified into a fraction.

Answer:

The correct answer would be B, Sometimes.

Step-by-step explanation:

Rational numbers are sometimes the natural numbers.

Rational numbers are the numbers that can be expressed as a quotient or fraction of two integers. Rational numbers can be in the form of decimals or natural numbers. Natural Numbers are the normal integers like 1, 2, 3, 4, etc. So the resulting numbers of any equation will give a rational number or a natural number. So it is so correct to say that rational numbers are sometimes the natural numbers.  

Can someone please help me

Answers

Multiply by 28 for the ounces

1*28= 28

3*28=84

Divide by 28 for 140

140/28= 5

Answers:

84 grams

5 ounces

First box is 84
Second box is 5

1/28=3/x
X=84

3/84=x/140
X=5
Hope this helps!

please help me! asap thank you ill mark brainliest

Answers

8n + 12 +(-9) -(-6n)

12 + -9 = 12-9 = 3

8n - (-6n) = 8n + 6n = 14n

The equation becomes 14n + 3

11. A machine fills 150 bottles of water every 8
minutes. How many minutes it takes this machine
to fill 675 bottles?
A. 26 MINUTES
B. 36 MINUTES
C. 46 MINUTES nababa
D. 35 MILES​

Answers

Answer:

36 minutes

Step-by-step explanation:

In order to find how many minutes it takes to fill 675 bottles, we need to find how many bottles the machine produces in one minute.

To do so, we can divide 150 by 8, which would give us the total amount of bottles produced in one minute.

150/8 = 18.75

So, 18.75 bottles are produced in one minute

To find the total number of minutes it takes to fill 675 bottles, we can divide 675 by the number of bottles produced in one minute, which is 18.75

675/18.75 = 36

Therefore, it takes the machine 36 minutes to fill 675 bottles.

Given : Machine fills 150 bottles of water every 8 minutes

[tex]\mathsf{\implies Machine\;fills\;1\;bottle\;of\;water\;in\;\left(\dfrac{8}{150}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;(675 \times 1)\;bottles\;of\;water\;in\;\left(675 \times \dfrac{8}{150}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(675 \times \dfrac{4}{75}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(135 \times \dfrac{4}{15}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(9 \times 4}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\boxed{\mathsf{36}}\;minutes}[/tex]

Sally's total restaurant bill, including 10% tax and a $3 tip, came to $19.60. What percent tip did she leave the server? Round to nearest tenth

Answers

Step-by-step explanation:

[tex]19.60 - 3 = 16.60 \\ \frac{3}{16.60} = 0.2206 \\ 0.2206 \times 100 = 22.06\%[/tex]

What are the length and width of a rectangle if
the length is 10 meters longer than the width and the
area is 56 square meters?

Answers

Answer:

4 is the width, 14 is the length

Other Questions
After the end of the socialist movement in Oklahoma, most party members began to support which political party? A. the Populists B. the Progressives C. the Democrats D. the Republicans When Quentin ordered a tennis racquet recently, he agreed to pay a 7% shipping and handling charge. If Quentin paid $9.45 in shipping and handling, bow much must the racquet have cost? Urgent!!!!!!!!!!!!! Factor completely 5y^2-2y-3 Upon which of the senses does the author seem to rely most heavily?a.sight and smellc.feel and sightb.sound and feeld.taste and sight Guys please help!! Show your work! Any answers help Which point is on the graph of f(x)= 3 4^x? Using Subjunctive VerbsUse the drop-down menus to choose the correct verb form to complete each sentence.All I ask is that he A. clean B. cleans the basement after his friends leave.If she A. is B. were in charge of the fundraiser, she would raise a lot of money.I wish that this room A. was B. were warmer.He would have gone to your birthday party, if he A. has B. were known about it.Jill's teacher recommends that she A. take B. takes advanced placement science next year.The customers insist that they A. are B. be moved to a new table. The point-slope form of the equation of the line that passes through (9, 2) and (1, 3) is y 3 = (x 1). What is the slope-intercept form of the equation for this line? Calculate y dA where R is the region between the disks x^2+y^2 Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 20,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,659 hours. Round your answer to four decimal places. Which general staff member directs management of all incident-related operational activities to achieve the incident objectives? Vendors provide restaurants with what?O A.cooked itemsOB. raw materialsOC. furnitureOD. menu recipes pls help :3What does this map portray?a.The spread of ash surrounding Vesuviusc.Places to visit around Vesuviusb.The terrain surrounding Vesuviusd.none of the above when are the expressions 3x +12 and 3(x+4) equvialent Which of the following is a key reason the Industrial Revolution led to urbanization? Since we have computer algebra systems that can solve polynomial division problems for us, why is it necessary to learn how to do these things by hand? The diagnals of a parallelogram are congruent. Which could be the parallelogram? A. Trapezoid B. Rectangle C. KiteD. Rhombus Which word means both 'tools" and "the skills or procedures necessary tomake and use those tools"?A. AdvancementB. IndustryC. DevelopmentD. Technology Paul to Ava salaries ratio is 3:4. If Paul's salary is $87,000, what is Ava's salary? What is square root of -98 + 71