Simplify the following expression (3x-5)(4-9x)+(2x+1)(6x^2+5)

Answers

Answer 1
Expand out the brackets and simplify, largest indices first.
12x³-21x²+67x+30

Related Questions

i need help with this plz i have no idea what to do

Answers

Answer:

When  Item Price * (%) is < or > to $ Off

Step-by-step explanation:

ANSWER PLS OR NOTHING WILL HAPPEN

Answers

Answer: 8

Step-by-step explanation:

Answer:

[tex]( - 4)( - 2) = \boxed{8}[/tex]

A fox leaves its den and travels 725 yards northeast, then 950 yards west. How far, in yards is the fox from its den

Answers

Answer:

1,675

Step-by-step explanation:

add it

Using Pythagoras, the distance of the fox from its den would be 533.26 yards

Hypotenus = 900 yards

Adjacent = 725 yards

Distance from den = opposite

Opposite = √hypotenus² - adjacent²

Distance = √(900)² - (725)²

Distance = √810000 - 525625

Distance = √284375

Distance = 533.26 yards

Therefore, the fox is 533.26 yards from his den.

Learn more : Opposite = √hypotenus² - adjacent²

Luke likes running. He runs 2 1⁄2 miles every 1⁄2 hour. Complete the table to find out how far he runs in each time interval. Which one shows his unit rate (miles per hour)?

Answers

5, 7 and 1/2, 10, 20
Add 2 and 1/2 each 1/2 an hour

A line passes through the point (-6,7) and has a slope of -4/3. Write an equation in slope-intercept form for this line.

Answers

Answer:

Step-by-step explanation:

y-7= -4/3 (x+6)

y-7= -4/3x-8

add 7 to both sides

y= -4/3x-1

The equation in slope-intercept form for the given line is 3y = -4x -3

What is Equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that a line passes through the point (-6,7) and has a slope of -4/3.

Standard equation of a line = y = mx + c where m is the slope,

Therefore, putting values of x and y to get the value of c

7 = -6*-4/3 + c

c = 7 - 8

c = -1

Equation = y = -4x/3 -1

Or, 3y = -4x -1

Hence, the equation of a line passing through the point (-6,7) and has a slope of -4/3 is 3y = -4x -1

For more references on Equation, click;

https://brainly.com/question/10413253

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How are prism and cylinders are alike ?

Answers

Answer:

They are both 3 dimensional shapes. A cylinder is essentially a prism for a circle.

Step-by-step explanation:

Step-by-step explanation:

- They are both 3 dimensional

-They both have 2 bases

CAN SOMEONE PLEASE HELP ME ON THE TOP ONE !!!!!!

Answers

the linear equation is
slope-intercept form y=-3x+18
standard form 3x+y=18

slope is -3

y intercept is (0,18)

Answer:

[tex]the \: slope \: is \to \boxed{-3} \\ the \: y \: intercept \to \boxed{18}[/tex]

Step-by-step explanation:

[tex]the \: solpe \: \boxed{m} = \frac{9 -1 2}{3 - 2} = -3 \\ y = mx + c \\ 12 = (-3)(2) + c \\ c = 12 + 6 = 18[/tex]

A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola yx. What are the dimensions of the rectangle with the maximum​ area? What is that​ area?

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, the complete question is:

A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y 81-x², what are the dimensions of the rectangle with the maximum area? what is the area?

Solution:

Given the parabola:

y = 81 - x²

Let the points (a,0) and (-a, 0) be points on the axis, this points touch the parabola at (a, 81 - a²) and (-a, 81 - a²).

Points (a,0), (-a, 0), (a, 81 - a²), (-a, 81 - a²) form the rectangle.

The length of rectangle = distance between (a,0) and (-a, 0) or between (a, 81 - a²) and (-a, 81 - a²) = 2a

The breadth of rectangle = distance between (a,0) and (a, 81 - a²) or between (-a, 0) and (-a, 81 - a²) = 81 - a²

Area of rectangle (A) = length × breadth = 2a × (81 - a²) = 162a - 2a³

A = 162a - 2a³

The maximum area is at dA / da = 0

dA / da = 162 - 8a² = 0

162 - 6a² = 0

6a² = 162

a² = 27

a = 5.2 units

Length = 2a = 2(5.2) =  10.4 units

Breadth = 81 - a² = 81 - 5.2² = 54 unit

Area = length × breadth = 54 × 10.4 = 561 unit²

Which ordered pairs are solutions to the equation 5x+12y=15?

Answers

:)))))))))))))))))))))))))))))
Some ordered pair solutions are:

• (0,5/4)
• (1,5/6)
• (2,5/12)

Hope this helps!

A fair six-sided die is rolled. Find the probability of getting a 4.​

Answers

Answer:

A fair six-sized die is rolled. Find the probability of getting at least a 4.

There are 6 outcomes and three of them are 4, 5 or 6, so the probability of greater than or equal to 4 is 3/6=½.

Houses can be either domed or octagonal.
True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Houses can be either domed or octagonal: True

A rocket is launched from a tower. The height of the rocket , y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.

Y=-16x^2+147x+118

Answers

Answer:  Max height = 455.6 feet

========================================================

Explanation:

The general equation

y = ax^2 + bx + c

has the vertex (h,k) such that

h = -b/(2a)

In this case, a = -16 and b = 147. This means,

h = -b/(2a)

h = -147/(2*(-16))

h = 4.59375

The x coordinate of the vertex is x = 4.59375

Plug this into the original equation to find the y coordinate of the vertex.

y = -16x^2+147x+118

y = -16(4.59375)^2+147(4.59375)+118

y = 455.640625

The vertex is located at (h,k) = (4.59375, 455.640625)

The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet

6/root of 12. Rationalize the denominator

Answers

Answer:

Step-by-step explanation:

hi

[tex]\dfrac{6}{\sqrt{12}}=\dfrac{2\times 3}{\sqrt{2^2\times 3}}=\dfrac{3}{\sqrt{3}}=\sqrt{3}[/tex]

thanks

There are a total of 120 bicycles and tricycles in a shop. There are 302 wheels in allmany bicycles and how many tricycles are in the shop?

Answers

Answer: There are  62 tricycles in the shop.

Step-by-step explanation:

Given: Number of wheels in a bicycle = 2

Number of wheels in a tricycle = 3

Let x = Number of bicycles , y = Number of tricycles.

As per given , we have

x+y =120       (i)

2x+3y=302       (ii)

Multiplying 2 on both sides of (i)

2x+2y=240      (iii)

Subtract (iii) from (ii) , we get

y= 62

Put value of y in (i) , we get

[tex]x+62=120\\\\\Rightarrow\ x=120-62\\\\\Rightarrow\ x= 58[/tex]

Hence, there are 58 bicycles and 62 tricycles in the shop.

If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered? perfect-square trinomial difference of squares factor by grouping sum of cubes

Answers

Answer:

c

Step-by-step explanation:

just took the quiz

Answer:

The answer is C) factor by grouping

Step-by-step explanation:

Edge 2020

What is the angle of elevation?

Answers

Answer:

Step-by-step explanation:

tan x° = [tex]\frac{3}{4}[/tex] ⇒ ≈ 36.87° ≈ 36.9°

solve (x-4)^2=5.
Answers:
A. x=9 and x=1
B. x=5+(square root)4
C. x=-4+(square root)5
D. x=4+(square root)5

Answers

Answer:

don't dout yourself

Step-by-step explanation:

never give up thanks for the free points

A random survey of 30 students found that 17 played a musical instrument. If the school has 450 students, predict how many do not play an instrument.

Answers

Given:

A random survey of 30 students found that 17 played a musical instrument.

Total number of students = 450

To find:

Estimated number of students who do not play an instruments.

Solution:

A random survey of 30 students found that 17 played a musical instrument.

Let E be the event that student play an instrument.

So, probability that a student plays an instrument is

[tex]P(E)=\dfrac{17}{30}[/tex]

Probability that a student do not play an instrument is

[tex]P(E')=1-P(E)[/tex]

[tex]=1-\dfrac{17}{30}[/tex]

[tex]=\dfrac{13}{30}[/tex]

Now, number of students who do not play an instruments is

[tex]450\times P(E')=450\times \dfrac{13}{30}[/tex]

[tex]450\times P(E')=195[/tex]

Therefore, 195 students do not play an instrument.

Put brackets in the expression to make the following true. 4 - 7 - 8 + 6 = -17

Answers

4 - 7 - ( 8 + 6 ) = -17

Please answer this correctly without making mistakes

Answers

Answer:

The answer is $0.07 cents per inch

Step-by-step explanation:

If you take 6 feet into inches (72)

and divide the total cost by the amount of inches (5.04 / 72)

You get the answer

What is the annual interest for a principal of $3,500 at a simple annual interest
rate of 2.3%?

Answers

Answer:

Step-by-step explanation:

Given principal p =$3500

Time t =1 year

Rate of interest r =2.3%

So annual interest=p×r×t/100

=3500×2×2.3/100

=7000×2.3/100

=16100/100

=161.

So annual interest is $161

Helpppppppp pleaseeeee

Answers

Answer:

108 cm^2

Step-by-step explanation:

A= 1/2 b×h

so

1/2 12×18

In late June 2012, Survey USA published results of a survey stating that 55% of the 579 randomly sampled Kansas residents planned to set off fireworks on July 4th. Determine the margin of error for the 55% point estimate using a 95% confidence level. The margin of error is: _____% (please round to the nearest percent)

Answers

Answer:

The Margin of Error E [tex]\simeq[/tex] 4.1 %

Step-by-step explanation:

Given that:

The sample size = 579

The sample proportion [tex]\hat p = 55\%[/tex] = 0.55

From the confidence interval of 95%

The level of significance ∝ = 1 - C.I = 1 - 0.95 = 0.05

The critical value of [tex]Z_{\alpha/2 } = Z_{0.025} = 1.96[/tex]

Thus;

The Margin of Error E = [tex]Z_{\alpha/2 } \times \sqrt{{\dfrac {\hat p ( 1 - \hat p }{n}}[/tex]

The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 1 - 0.55) }{579}}[/tex]

The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 0.45 )}{579}}[/tex]

The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.2475}{579}}[/tex]

The Margin of Error E = [tex]1.96 \times \sqrt{{4.2746114 \times 10^{-4}}[/tex]

The Margin of Error E = [tex]1.96 \times .020675[/tex]

The Margin of Error E = 0.040523

The Margin of Error E [tex]\simeq[/tex] 0.041

The Margin of Error E [tex]\simeq[/tex] 4.1%

Write an equation in standard form for the line, where the points (-2, -1) and (0, 4) are on the line

Answers

Answer:

An equation in standard form for the line is:

[tex]\frac{5}{2}x-y=-4[/tex]

Step-by-step explanation:

Given the points

(-2, -1) and (0, 4)

The slope between two points

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)[/tex]

[tex]m=\frac{4-\left(-1\right)}{0-\left(-2\right)}[/tex]

[tex]m=\frac{5}{2}[/tex]

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Putting the point (-2, -1) and the slope m=1 in the line equation

[tex]y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)[/tex]

[tex]y+1=\frac{5}{2}\left(x+2\right)[/tex]

[tex]y=\frac{5}{2}x+4[/tex]

Writing the equation in the standard form form

As we know that the equation in the standard form is

[tex]Ax+By=C[/tex]

where x and y are variables and A, B and C are constants

so

[tex]y=\frac{5}{2}x+4[/tex]

[tex]\frac{5}{2}x-y=-4[/tex]

Therefore, an equation in standard form for the line is:

[tex]\frac{5}{2}x-y=-4[/tex]

about how many 18s are there in 250?a.10 b.12 c.15​

Answers

Answer:

C. 15

Step-by-step explanation:

It's 13.888 about 14, so 15 is the closest answer.

b

Step-by-step explanation:

taking 250÷18=13.88~

shasha worked in the garden for 3 hours and 40 minutes. she started at 8:30am. at what time did she stop?

Answers

Answer:

Sasha stopped working at 12:10 PM

Step-by-step Explanation

8:30 + 3 hours and 40 minutes = 12:10 PM

Mark as brainliest if it's right!

Answer:

12:10 p.m

Step-by-step explanation:

3 hours from 8:30 is 11:30 a.m.

Now we add 30 minutes to 11:30 and you get 12:00

Add the remaining 10 minutes and you get 12:10 p.m

I hope this helped, please mark Brainliest, thank you!

Hadley paddled a canoe 2 miles in 1/9 of
an hour How far could Hadley paddle in
1 hour?

Answers

Answer: 18 miles

explanation: set up a proportion. (2 over 1/9 = x over 1). cross multiply, 2x1=2, then divide 2/(1/9)=18.

9a + 8 - 20-3-50
Answer

Answers

Answer:

9a-65

Step-by-step explanation:

simply write 9a+(add the remaining numbers all together)

What is the value of the function at x=−2?

Answers

Answer:

y = 3

General Formulas and Concepts:

Reading a Cartesian PlaneReading and labeling coordinates

Step-by-step explanation:

The question is asking us what the y-value is when x = -2.

According to the graph, when x = -2, y = 3.

Therefore, y = 3.

In science class, Polly learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Polly wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year?

Answers

Answer:

They make 4 approximately tons of oxygen each year.

Step-by-step explanation:

( 250lbs × 32 ) ÷ 2000 = 4t

250 pounds because each tree makes about 250 pounds of oxygen a year.

× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.

÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.

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