Expand and simplify ([tex]2x^{2}[/tex]+3)(4x+5)-8x([tex]x^{2}[/tex]-2)

Answers

Answer 1

Answer:

2x(5x + 14) + 15

Step-by-step explanation:

Given: (2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2)

(2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2) = 2[tex]x^{2}[/tex](4x + 5) + 3(4x + 5) - 8x([tex]x^{2}[/tex] - 2)

                              = (8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 15) - 8[tex]x^{3}[/tex] + 16x

                              = 8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 15 - 8[tex]x^{3}[/tex] + 16x

collecting like terms to have,

8[tex]x^{3}[/tex]- 8[tex]x^{3}[/tex] + 10[tex]x^{2}[/tex] + 12x + 16x + 15

10[tex]x^{2}[/tex] + 28x + 15

Thus,

(2[tex]x^{2}[/tex] + 3)(4x + 5) - 8x([tex]x^{2}[/tex] - 2) = 10[tex]x^{2}[/tex] + 28x + 15

                                           = 2x(5x + 14) + 15


Related Questions

Find the area of this semi-circle with radius,
r
= 61cm.
Give your answer rounded to 1 DP.

Answers

Answer:

692.7cm²

Step-by-step explanation:

A = πr²/2 = 220.5 * π [cm²] ≈ 692.72 [cm²]

5.
The model represents the equation 3x - 2<4.
11:00 - 0000
What is the solution for this inequality?
Oxx-2
0x<-3
0x<6
0x<2
Copyright 2020
O
O

Answers

Answer:

Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]

Option D is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]3x -2 < 4[/tex] and find value of x

Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.

[tex]3x -2 < 4[/tex]

Adding 2 on both sides

[tex]3x -2+2 < 4+2\\3x < 6[/tex]

Now, we will divide 3 on both sides

[tex]\frac{3x}{3}<\frac{6}{3}\\x<2[/tex]

So, we get x < 2

Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]

Option D is correct option.

A dog kennel charges $40 to board a dog for one night and $35 per night each night after that. Henry
paid a total of $215 for dog boarding. For how many nights did Henry board his dog?

Answers

Answer: 6 nights

Step-by-step explanation:Step-by-step

Minus 40 from 215 then divide it by 35

Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
PLEASE GIVE ME EXPLANATION

Answers

Answer:

Daniel

Step-by-step explanation:

Daniel ran 5000/40=500=4=125 meters in 1 minutes

Andy ran 4550/37=122.9729... some less than 123 meters in second

Daniel was faster than Andy

hii I really need help!!
sorry if it’s kinda long lol.

question:

Sonia has two packages of hamburger meat. The first package weighs 1.76 pounds and the second package weighs 2.29 pounds. She mixed the two packages together and forms hamburgers that weigh 0.25 pounds each. What is the greatest number of 0.25-pound hamburgers Sonia can make using the hamburger meat she has?

Answers

Answer:

16

Step-by-step explanation:

2.29+1.76=4.05

4.05/0.25=16.2

round down to 16

you would have a little extra but you would only be able to make 16 .25 pound ones

I already have an answer, please clarify the correct answer, thx

Answers

Answer:

ok so y= 25 and x= 27. brainliest pls!

Find the sum.
(12p+ 9) + (4p - 3)
A. 12p+ 6
B. 16p+6
C. 16p+ 12
D. 16p - 6
SUBMIT

Answers

Answer:

B. 16p+6

Step-by-step explanation:

Answer:

B . 16p + 6

Step-by-step explanation:

12p + 9 + 4p -3

collect like terms

(12p + 4p) + (9 - 3)

16p + 6

You want to go on a swamp tour. How long does it take a swamp vehicle that travels at at 3.2 miles per hour to travel across the swamp, from point Z to point Y


AND ACTUALLY ANSWER

Thanks

Answers

The time it will take a vehicle that travels at at 3.2 miles per hour to travel across the swamp, from point Z to point Y is; t = 18 minutes

We can see two main triangles from the image which are;

ΔVWX and ΔYZX

The two triangles are similar and using ratio of similar triangles, we have;

VW/WX = YZ/ZX

Plugging in the relevant values gives;

10/6 = YZ/3

Cross multiply to get;

YZ = 3 * 10/6

YZ = 5 miles

Since speed is given as 3.2 miles per hour and we know that formula for time is;

time = distance * speed

Then; time = 5 * 3.2

time = 16 hours

Read more at; https://brainly.com/question/25400011

IF YOU ANSWER YOU ARE THE BEST

Answers

Answer:

yellow

Step-by-step explanation:

im not sure what its asking so im guessing what the point is

the third option hope this helps have a nice day

SOMEONE PLEASE HELP ME WITH THIS!!!!! ITS GEOMETRY

Answers

Answer:

KG = 7 (A)

m KIH = 28 (B)

m JIH = 96 (D)

m HKI = 68 (B)

m KJI = 84 (C)

Step-by-step explanation:

Notice that the triangle HKJ is identical to HIJ. Since there are lines drawn to each other and both triangles are identical, the lines KG and GI are the same. This means that it is 7.

The triangle KGJ is identical with IGH. Using the recognise angle property, we know that angle JKI is the same as KHI. This means that it is 28.

Angle JIH is the same as angle JKH. Since JKH is 180 - (KHI or 84), we know that the angle JIH is 96.

We can find angle HKI by subtracting 96 by 28 because we know that angle HKI is the same as JIH. This gives us 96-2 8 = 68.

Angle KJI is the same as KHI which is 84. Therefore, KJI is also 84.

Which equation is NOT written in slope-intercept form?

Answers

Answer and Explanation

__________________________________________________________

B) 2x - 5 = 2y + 14

__________________________________________________________

slope intercept form: y = mx + b

__________________________________________________________

B) 2x - 5 = 2y + 14 is the only answer choice that does not isolate y, and place all other terms on the other side; therefore, is your answer.

__________________________________________________________

Hope this helps! <3

__________________________________________________________


Apply the distributive property using the greatest common factor to write an equivalent expression.
Enter your answers in the boxes.
0.3x – 2.7 =T0-0)

Answers

Step-by-step explanation:

0.3x = (0.3)(x).

2.7 = (0.3)(9).

Between the 2 terms, the GCF is 0.3.

Hence,

0.3x - 2.7

= (0.3)(x) - (0.3)(9)

= 0.3(x - 9).

Determine which quadrant each point will be located (-8,2)

Answers

Answer:

The point (-8, 2) is in Quadrant 2.

Step-by-step explanation:

Quadrant 1: (x, y)

Quadrant 2: (-x, y)

Quadrant 3: (-x, -y)

Quadrant 4: (x, -y)

Answer:

The point, -8,2, will be located in quadrant II.


(f +g)x= g(x)+ f (x)

Is the this true or false?

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

This is true by definition.

A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.1
MB. Yesterday, there were 1600 downloads of the song, for a total download size of 5624 MB. How many downloads of the high-quality version were
there?
Number of high-quality version downloads:

Answers

Answer:

Number of high quality version downloads = 880

Step-by-step explanation:

Let,

x be the number of standard version songs downloaded

y be the number of high quality version songs downloaded

According to given statement,

x+y=1600        Eqn 1

2.8x+4.1y=5624     Eqn 2

Multiplying Eqn 1 by 2.8 to eliminate x

2.8(x+y=1600)

2.8x+2.8y=4480     Eqn 3

Subtracting Eqn 3 from Eqn 2

(2.8x+4.1y)-(2.8x+2.8y)=5624-4480

2.8x+4.1y-2.8x-2.8y=1144

1.3y=1144

Dividing both sides by 1.3

[tex]\frac{1.3y}{1.3}=\frac{1144}{1.3}\\y=880[/tex]

Hence,

Number of high quality version downloads = 880

Which statements about circle O are true? Select three options. The radius of circle O is 13. The diameter of circle O is 34. LP is a diameter of circle O. ∠LMP intercepts a semicircle. The measure of arc LP is 90°.

Answers

Answer:

The radius of circle O is 13

LP is a diameter of circle O.

∠LMP intercepts a semicircle.

Step-by-step explanation:

The missing image is attached in the diagram below.

From the diagram;

we can determine the length LP by using the Pythagoras theorem.

i.e.

hypotenuse² = opposite² + adjacent²

LP² = ML² + MP²

LP² = 24² + 10²

LP² = 576 + 100

LP = [tex]\sqrt{676}[/tex]

LP = 26

Since line LP cuts the circle into two equal halves, we can say the line LP is the diameter of circle O.

if the diameter (LP) = 26

Then, the radius r = 26/2 = 13

The radius of circle O is 13.

Similarly, the arc LMP is 180° (∵ inscribed angle is 1/2 the measure of central angle), and LMP is 180°, then ∠LMP intercepts a semicircle.

Answer: A) The radius of circle O is 13.

              C) LP is a diameter of circle O.

              D) ∠LMP intercepts a semicircle.

Step-by-step explanation:

om edge

Choose the correct zeros for the following quadratic function.
f(x) = x^2 + 5x - 14
A. {1,3}
B. {4, -3}
C. {2, -7}
D. {2, -1}

Answers

Answer:

I'm pretty sure its C

Hope that helps :)

(x+7)(x-2)=0
x=-7,2

The answer is C

Please help!!!
What is the solution to this equation?
x- 15 =8
OA. X = -7
OB. X = 23
OC. X = 7
OD. X = -23

Answers

Answer:

23

Step-by-step explanation:

X - 15 =8

+ 15 +15

15+8=23

23-15=8

X =23

A restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. How many eggs does each 5-layer rack hold?

Answers

Answer:

The answer is 125 eggs.

The total number of eggs required will be 125.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. The number of eggs will be calculated as:-

Number of eggs = 5 x 5 x 5

Number of eggs = 125

Therefore, the total number of eggs required will be 125.

To know more about an expression follow

https://brainly.com/question/3188652

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1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and his sister?
(a) Write an equation that represents the situation. (1 point)
(b) Solve the equation from Part (a). Show your work. (3 points)

Answer:
Part A: Write an equation.
If the present age is y, then n times the present age = ny.
If the present age is x, then age n years later/hence = x + n.
If the present age is x, then age n years ago = x – n.
The ages in a ratio a: b will be ax and bx.


Part B: Solve the equation.

John’s age =


John’s sister’s age =

Answers

Answer:

sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

Answer:

36-x=y

y*3=x

x+y=36

Step-by-step explanation:

I wasnt really sure how to write the equation the way you're supposesd to?

John is 27 and his sister is 9. 9*3=27

I just used guess and check sorry

Please Answer the 3 questions in the picture

Answers

1.Proportional reasoning compares ratios to answer questions. We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.

3.The question is how many ways

There are as a many ways to solve a math problem as you can think of.(Some are shorter or easier than others.)

Essentially, an innfinite number.

sorry I have no idea other questions

Jack's football team scored 3 more field goals (x) than touchdowns (y) in
yesterday's game. Write a linear equation that could represent this situation.
2

Answers

Answer:

Why is his name Jack? lol what about Aron or Liam...something hotter i mean he is a football player.

Step-by-step explanation:

Which of the following statements is NOT a property of parallelograms?

1. Opposite angles are congruent.

2. Opposite sides are congruent

3. All angles are right angles.

4. Consecutive angles are supplementary.

Answers

Answer:

3

Step-by-step explanation:

took the test

also parallelograms are the slanted ones so they dont  always have the 90 degree angles.

The non-necessary property of a parallelogram is All angles are right angles.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

GIven that, what can not be a property of parallelograms

All the properties given in the option are correct for a parallelogram, but the option saying all angles should be a right angle, is not a correct one, because it is not necessary for a parallelogram to have all four angles 90°, it is only in two types of special parallelograms, that are rectangles and squares.

Hence, the non-necessary property of a parallelogram is All angles are right angles.

For more references on parallelogram, click;

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Triangle DEF is shown below.


The measure of angle D is 50⁰, the measure of angle E is 80⁰, and the measure of angle F is 10x . What is the value of x ?

Answers

Answer:

Step-by-step explanation:

13

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihi

Answers

Do _____ times ______

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Step-by-step explanation:

how are you

please i need an answer ASAP!!

Answers

They are both 53 degrees
180 minus 127 is 53 so c would be 53 and because of that one theorem b would be 53 as well

The table below shows the population of different duck species at a local pond. Which term best describes the total number of Mallards in the pond?

Duck Pond Samples
Sample 1
Sample 2
Mallard
13
Mallard
12
Wood Duck
4
Wood Duck
2
Green Wing Teal
6
Green Wing Teal
6
American Widgeon
2
American Widgeon
5
Mallard population
duck population
proportion of Mallards
sample of Mallards

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) Mallard population

Step-by-step explanation:

Analyze the student’s work. Is the answer correct? Explain.

Ik its not B

Answers

Answer:

im not 100 percent sure but i think he right

Step-by-step explanation:

Answer:

A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7

Step-by-step explanation:

Edge 2022

1.
(2x3 - 5x2 + 3x + 7) = (x - 2)
a) 2x3 - x2 + x + 9
b) 2x2-x+1
C) 2x2 - x + 1 + 9/x-2
d) 2x2_9x - 15 - 23/x-2

Answers

The correct answer is b

Solve 5/2 x > 5. Graph the solution.

Answers

Answer:

x > 2

see photo

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