simplified form
(3x+2)(4x² –5x+7)

Answers

Answer 1

Answer:

12x³ - 7x² + 11x + 14

Step-by-step explanation:

(3x + 2)(4x² - 5x + 7)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x² - 5x + 7) + 2(4x² - 5x + 7) ← distribute parenthesis

= 12x³ - 15x² + 21x + 8x² - 10x + 14 ← collect like terms

= 12x³ - 7x² + 11x + 14


Related Questions

QUWX is a field in the shape of a Trapezium whose parallel sides are 121m and 56m and the non parallel sides are 82m and34m. find the cost of ploughing the field at Rs 14.89 per square kilometre.(help with this one​)

Answers

Answer:

hence the total cost to plough the trapezium field

is Rs. 893500.50

Step-by-step explanation:

the required answer may be wrong .... but this is the way to do it....

hope this helped you...☺️

comment if any confusion

What is the slope of this line?

Answers

Step-by-step explanation:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Answer:

slope = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (3, 2) ← points on graph

m = [tex]\frac{2-5}{3-7}[/tex] = [tex]\frac{-3}{-4}[/tex] = [tex]\frac{3}{4}[/tex]

Which of the following systems of inequalities has no solution?

Answers

Answer:

c

Step-by-step explanation:

See the attached graph.  There's no overlap between the two individual solution sets.

Write the equation of the line through
(4, 4) and (2, 2) in point-slope form.

Answers

Answer:

y-4=1x-4

Step-by-step explanation:

put in format : y2-y1=m(x2-x1)

y-4 = 1(x-4)

distribute

y-4=1x-4

LAM 1 Mod 6 Question 4b-s2.

Answers

Answer:

there is one line of symmetry if you look closely at the shape

A blank 2-column table with 3 rows. Column 1 is labeled Column A and Column 2 is labeled Column B. A blank graph has label B on the x-axis and label A on the y-axis. Weather data is collected to analyze wind speed according to temperature. Identify the variables as either input or output to label the table and graph. Column A = Column B = Label A = Label B =

Answers

A= temperature column B= wind speed. Label A= wind speed label B= Temperature

What is the slope of the line passing through the points (6, 7) and (1, 5)?

Answers

Answer: it’s a fraction and it’s 2/5

Step-by-step explanation:

The slope is 2/5, 5-7 divided by 1-6=2/5

When negative five is subtracted from a number the result is 10.

Find the number.

O 15
O -5
O -15
O 5​

Answers

.............................

Answer:

D. 5

Step-by-step explanation:

Ok, so the number is represented by n.

n-(-5)=10.

Negative Times Negative makes Positive. The equation is now:

n+5=10

Subtract 5 from both sides.

n=5

What is 4 plus 3 plus 6 plus 10

Answers

23 is the ejejhdbdbndndjdndbdbdbhd

Answer:

23

Step-by-step explanation:

4+3+6+10

4+3 = 7

7 + 6 = 13

13 + 10 = 23

This is super easy, no offense

estimate 1.75 * 12.5

Answers

Answer:

21.875, round as needed.

Step-by-step explanation:

1.75 * 12.5

21.875

You can also round to:

21.88

21.9

22

Just depends on what your teacher is asking

\frac { 3 ^ { p + 1 } - 3 ^ { p } } { 2 \times 3 ^ { p } } = 1​

Answers

Answer:

Given equation:

[tex](3^{p+1} - 3^p) /(2 *3^p) = 1[/tex]

Solving for p:

[tex]3^{p+1} - 3^p = 2 *3^p[/tex][tex]3*3^p - 3^p = 2 *3^p[/tex][tex]2 *3^p =2 *3^p[/tex]

p - any real number

We can state the initial expression is correct for any value of p.

Answer:

True for all p

Step-by-step explanation:

Given equation:

  [tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]

Multiply both sides by [tex]2 \times 3^p[/tex]:

[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]

Add [tex]3^p[/tex] to both sides:

[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]

[tex]\implies 3^{p+1}=3 \times 3^p[/tex]

Rewrite 3 as 3¹:

[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 3^{p+1}=3^{1+p}[/tex]

[tex]\implies 3^{p+1}=3^{p+1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies p+1=p+1[/tex]

Subtract 1 from both sides:

[tex]\implies p+1-1=p+1-1[/tex]

[tex]\implies p=p[/tex]

Therefore as both sides are equal, true for all p.

Complete the following statement. Write your answer as a decimal or whole number. % of $600 = $120

Answers

Answer: 20%

Step-by-step explanation: 600*0.20 = 120

Do u think temperature and pressure have any effect on gasses ​

Answers

Answer:

Gay Lussac's Law - states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. If you heat a gas you give the molecules more energy so they move faster. This means more impacts on the walls of the container and an increase in the pressure.

Step-by-step explanation: An increase in the number of gas molecules in the same volume container increases pressure. A decrease in container volume increases gas pressure. An increase in temperature of a gas in a rigid container increases the pressure

Answer:

yes I think that temperature makes it hotter or

colder depending on the temperature of it or the surroundings and the pressure I don't honestly don't think it effects them

In a certain Algebra 2 class of 29 students, 8 of them play basketball and 16 of them play baseball. There are 11 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answers

Answer:

18/29

Step-by-step explanation:

The probability that a student chosen randomly from the class plays basketball or baseball is 18/29

How to determine the probability?

The given parameters are:

Students = 29Basketball = 8Baseball = 16Neither = 11

The number of students that play basketball or baseball is:

Basketball or Baseball = Students - Neither

This gives

Basketball or Baseball = 29 - 11

Basketball or Baseball = 18

The probabilty is then calculated as:

P = Basketball or Baseball/Students

This gives

P = 18/29

Hence, the probability that a student chosen randomly from the class plays basketball or baseball is 18/29

Read more about probability at:

https://brainly.com/question/251701

Two people wrote a book together. They agreed to share the royalties so that the senior author received twice as much as the
junior author. What is each author's share of a $2400 royalty check?

Answers

Answer:

Junior author = $800

Senior author = $1600

Step-by-step explanation:

The check is split between the senior author and junior author in the ratio of 2:1

2:1 = $2400

Add the ratios together:

2 + 1 = 3

3 parts = $2400

Find one part of the total check by dividing both sides by 3:

1 part = $800

The junior author would get $800, and the senior author would get double, $1600

write the equation for the slope intercept form

Answers

Answer:

y=2/3x-1

Step-by-step explanation:

Andy is hanging wallpaper in his kitchen. He is able to cover 2/2 fifths of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall?
The number of rolls per wall is????

Answers

Answer:

8

Step-by-step explanation:

to be honest tho I don't even know

what is the explicit rule for the geometric sequence 1/64, 1/16, 1/4, 1

Answers

Answer:

[tex]\frac{1}{\sqrt[n]{64}}[/tex]

Step-by-step explanation:

[tex]\frac{1}{\sqrt[1]{64}} =\frac{1}{64}[/tex]

[tex]\frac{1}{\sqrt[2]{64}} =\frac{1}{16}[/tex]

[tex]\frac{1}{\sqrt[3]{64}} =\frac{1}{4}[/tex]

[tex]\frac{1}{\sqrt[4]{64}} =\frac{1}{1}[/tex]

A container manufacturing company was contracted to design and manufacture cylindrical cans for fruit juice. The volume of each can needs to be 0.946 liters. In order to minimize production costs, the company wishes to design cans that require the smallest amount of material possible. (This means that you need to design a can with volume=.946 liters and the smallest possible surface area. Explain the relationship between the surface area and the amount of material.)

Answers

The volume of the cylinder is the amount of fruit juice it can contain.

The relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

The given parameter is:

[tex]\mathbf{V = 0.946}[/tex]

The volume of a cylinder is calculated as:

[tex]\mathbf{V = \pi r^2 h}[/tex]

Make h the subject

[tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

The surface area (A) of a cylinder is:

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

Substitute [tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \pi r \times \frac{V}{\pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{V}{r}}[/tex]

Differentiate

[tex]\mathbf{A' = 2\pi r - Vr^{-2}}[/tex]

Set to 0

[tex]\mathbf{2\pi r - Vr^{-2} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 2\pi r = Vr^{-2}}[/tex]

Multiply through by r^2

[tex]\mathbf{ 2\pi r^3 = V}[/tex]

Solve for r

[tex]\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{0.946}{r}}[/tex]

So, we have:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Hence, the relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Read more about surface areas and volumes at:

https://brainly.com/question/3628550

Function 1 is defined by following table what function has greater y- intercept?

Answers

Answer:

They both have the same y intercept

Step-by-step explanation:

(1,0)(0,3)

(0,3)(1,-1)

jada has $20 to spend on games and rides at a carnival. Games cost $1 each and rides are $2 each.

which equation represents the relationship between the number of games, x , and the number of rides, y,
that Jada could do if she spends all her money?
A: x + y =20
B: 22 + 4 = 20
C: 0+2y=20

Answers

Answer:

I believe its A

Step-by-step explanation:

Hope it helps

The answer is a :)) hope this helps

What is the function form of:
8x + 2y = -2
y = ?

Answers

Answer:

-4x-1

Step-by-step explanation:

-4x-1

Solve the system of equations by the substitution method. x+4y=6 y=3−x

Answers

Answer:

x = 2, y = 1

Step-by-step explanation:

x + 4y = 6 and y = 3 - x have to be rearranged: x + 4y = 6 and x + y = 3

You subtract the equations to eliminate one of the variables (x) so that the other can be found

-6/1 x - 3/5 divided by -0.25

Answers

Answer:

-14.4

Step-by-step explanation:

-6x(-0.6)x(-4)= -14.4

[tex] - \frac{6(5 - 2x)}{5x} [/tex]

i hope its help

Doug entered a canoe race. He rowed 3 ½ miles in ½ hour. What is his average speed in miles per hour

Answers

Answer:

7 miles per hour

Step-by-step explanation:

3.5 times 2.

Hellur, I need help with geometry homework....

Answers

Answer:

24

Step-by-step explanation:

all 3 corners of any triangle adds to 180

the big triangle gives you 94 and 41 which equals 135. even though there's a line cutting off the last corner it still counts towards the 180 of the big triangle

180 - 135 = 45

now you know 2 corners of the smaller triangle

111+45 = 156

156+x= 180

x= 24

A metal strip is being installed around a rectangular workbench that is 8 feet long and 4 feet wide. If the stripping costs ​$4 per​ foot, find the total cost of the stripping.

Answers

Answer:

$144

Step-by-step explanation:

Length*Width*Price

12*3 = 36

36*4 = 144

$144

Is the triangle isosceles, equilateral, or
neither?
70°
55°
55°
A. isosceles
B. equilateral
C. neither

Answers

Answer:

It is isosceles triangle because its base angles are equal .

plz mark me brainest

Answer: A. isosceles

Step-by-step explanation:

an isosceles triangle is a triangle that has two sides of equal length.

You can read about isosceles triangle more : https://en.wikipedia.org/wiki/Isosceles_triangle

please give me a brainliest answer

Shannon swam 100 meters in 56.24 seconds. Rick swam 100 meters
in 59.48 seconds. Rick took how many seconds longer to swim
100 meters than Shannon?


I’m kinda in a rush anyone mind helping?

Answers

Answer:

find the difference between the two times by subtracting them;

59.48-56.24= 3.24 seconds

Step-by-step explanation:

Where on the coordinate plane is the point (-85, 52) located?

Answers

Right answer but i am not conform

x = - 85

y = 52

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