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

HELP PLSPLS QUICKPLSSSSSSSSSSSS

Answers

Answer:

Step-by-step explanation:

11/12 - 5/8 =  ? Make the denominator the same (multiply the first term by 2 and the second term by 3).

22/24 - 15/24 = ? Just simplify/solve. 22-15=7.

7/24

OPTION A = 7/24

Jasmine is flying a kite. The kite has an angle of depression of 47 degrees and is flying on 35 feet of string. If Jasmine is holding the end of the string at 5 feet off the ground, how high above the ground is the kite? Draw a picture. Round your answer the nearest tenth.

Answers

I really don’t know the answer because you don’t explain whether it’s on edg or something else. Reply back if on edg and I’ll give answer!!

Let y = 7x + 4. what is x when y = 18?

Answers

Answer:

2

Step-by-step explanation:

Teresa is going with her family to watch

professional barrel racers. Her family

buys 6 tickets. They have a coupon for

$1.50 off each ticket. They pay $52.50

altogether for their tickets. Write an

equation that you could use to represent

the situation. What is the price of a ticket

before using the coupon?

Answers

Answer:

6 * (x - 1.50) = 52.50 ; 10.25

Step-by-step explanation:

Given that :

Number of tickets purchased = 6

Coupon off per ticket = 1.50

Total Amount paid for tickets = $52.50

Let x = initial price of ticket :

Number of tickets purchased * (Initial ticket price - coupon) = total amount paid

6 * (x - 1.50) = 52.50

6x - 9 = 52.50

6x = 52.50 + 9

6x = 61.50

x = 61.50 / 6

x = 10.25

Hence, initial price of ticket = $10.25

Can someone explain how to do this. And if you can, can you answer one question and tell me what the color is + show work. Thank you so much!

Answers

8x-5=27
8x=32
x=4
Color it red!

1. Add 5 to both sides (combine like terms)
2. divide both sides by 8
3. You get your answer!!

what is the answer to this: 24x2+25x−47=(−8x−3)(ax−2)−53? thank you for answering.
Who has heard the song Friday Night by Vigiland?

Answers

Answer:

-3 is the correct answer for this problem

Step-by-step explanation:

of course ive heard that song, its a great song to me. it reminds me of what people see me as and how people treat me. it also reminds me of who i am and that everything is possible as long as you truly want it and set your heart to it.

You purchase a remote-controlled drone for d dollars. Your friend purchases a drone that costs $35 more than your drone. Your brother purchases a drone that costs three times as much as your friend's drone. Write and simplify an expression that represents the cost (in dollars) of your brother's drone.

Answers

Answer:

[tex]Brother = 105 + 3d[/tex]

Step-by-step explanation:

Given

[tex]Drone = d[/tex]

Friend = $35 more expensive than yours.

Brother = 3 * as much as your friend

Required

Write an expression for the cost of your brother's drone

I'll solve by analysing the question one sentence after the other

You:

[tex]Drone = d[/tex]

Your friend:

Friend = $35 more expensive than yours.

This means

[tex]Friend = 35 + You[/tex]

Substitute d for You

[tex]Friend = 35 + d[/tex]

Your brother:

Brother = 3 * as much as your friend

This means:

[tex]Brother = 3 * Friend[/tex]

Substitute 35 + d for Friend

[tex]Brother = 3 * (35 + d)[/tex]

Open bracket

[tex]Brother = 3 * 35 + 3*d[/tex]

[tex]Brother = 105 + 3d[/tex]

Using the equation y=4x-1 to create a table

Answers

i just went to 5 bc you didn’t specify how much you needed

What number needs to be added to 4 and 7 so that the ratio of
the first number to the second becomes 2:3?

Answers

Answer:

a.

Step-by-step explanation:

whats 5+7? I need this in like 2 secs tysm :)

Answers

Answer:

12 it's that simple easy math

Which of these brands have the lowest cost per unit? PLEASE HELP MY FIRST MATH GRADE OF THE QUARTER IS ON THE LINE!

Answers

Answer:

you need a dotted point starting at 3 and going to to the right

Step-by-step explanation:

the dotted point means x < , x > and since it is greater you always go to the right

Complete the equation to find the quotient of 2,275 and 7.

2,275 ÷ 7=(___÷ 7) +(140 ÷ 7)+(35 ÷__)
=300+___+5
=_____

Answers

9514 1404 393

Answer:

2100720325

Step-by-step explanation:

The various partial quotients can help you figure it out.

  2275 ÷ 7 = 2100 ÷ 7 + 140 ÷ 7 + 35 ÷ 7 = 300 +20 +5 = 325

__

2100 ÷ 7 = 300

140 ÷ 7 = 20

35 ÷ 7 = 5

__

300 +20 +5 = 325

AB=3x
BC=10
AC=4x+1
X=
AB=
AC=​

Answers

solution:

AB +BC = AC

3x +10 = 4x-1

10-1 = 4x-3x

9 = x

X=9

AB =3×9=27

AC = 4×9+1 =37

3x+10=4x+1
-4x. -4x
-1x+10=1
-10 -10
-1x/-1=-9/-1
x=9

AB= 3x
AB=3(9)
AB=27
AC=4x+1
AC=4(9)+1
AC=36+1
AC=37

Two cars were at a gas station, a red car and a blue car. The red car filled up with 12 gallons of gas and was able to travel. The blue car filled up with 15 gallons of gas and was able to travel 330 miles. What was the gas mileage of each car? Which car got better gas mileage?

Answers

Answer:

Red Car Gas mileage:

= Distance travelled/ Gas used

= 300/12

= 25 mpg

Blue Car gas mileage:

= 330/15

= 22 mpg

The car with the better mileage is the one that goes further per gallon of gas which is the Red Car.

answer for brainly and points thank you

Answers

Answer:

It’s A

Step-by-step explanation:

Used math-way

Answer:

a

Step-by-step explanation:

s;gewgue ghsvsZhyszuhvzs
Help me with this

Answers

Answer:

The slope is 1

Step-by-step explanation:

Point slope equation is y-y1/x-x1

-2-(-1)/-3-(-2)

-2+1/-3+2

-1/-1=+1

what is the solution of -2x - 5y = -47 4x - 2y = -2 ​

Answers

Answer:

x= 7/2 <--fraction y=8

Step-by-step explanation:

lmk if that is incorrect

What is the formula for finding simple interest and what did each of the variables mean ?

Answers

Answer:

S.I = (P × R × T)/100

where;

P - principal

R - rate

T - time

what is the answer to x + 5 = -6

Answers

Answer:

x=-11

Step-by-step explanation:

If you subtract the 5 on both sides, you get -11.

I should explain further. So if you subtract the 5 on the left side, it will cancel out. Subtracting the 5 on the right side will give you the equation, -6 - 5, which is equal to -11.

Find all solutions to the following system of equations. (x-2)^2+(y+3)^2=4 and x-y=3

Answers

Equation form:

x=2, y=-1

x=0, y=-3

5. What is the percent change
in the price of a gallon of
nd ,
gas, to the nearest whole
percent? Is it an increase or
a decrease?

Answers

Answer: 6679

Step-by-step explanation: beautiful.

IS THIS A FUNCTIONS OF NOT
I NEED HELP

Answers

1, 3, 5 are functions because they pass the vertical line test

Answer:

graph 4: yes

graph 5:no

graph 6: no

graph7: no

graph 8: yes

graph 9: no

Step-by-step explanation:

correct me if im wrong

and use vertical line test to figure these put next time :3

HELP MATH LAST ONEE!! :D MARKING BRAINLISEST!

Answers

Answer:

y = -11

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept → (0, b)

We have the slope m = 0 and the point (0, -11) → b = -11.

Substitute:

y = 0x - 11 = -11

It's a horizontal line.

Answer:

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] when [tex]b[/tex] is the y-intercept and [tex]m[/tex] is the slope

The slope is already given in the question: 0

The y-intercept is the value of y when x is equal to 0. We can see that the given point, (0,-11) also tells us this. When x is equal to 0, y is equal to -11. Therefore, the y-intercept of the line is -11.

Finally, we plug the slope and the y-intercept back into the original equation.

[tex]y=mx+b\\y=0x+(-11)\\y=0-11\\y=-11[/tex]

I hope this helps!

Use trig identities to verify this expression:
((1-tan^2(x))/(sec^2(x))=cos(2x).

Answers

Answer:

See below

Step-by-step explanation:

Verify the expression:

((1-tan^2(x))/(sec^2(x))=cos(2x)

-----------------------

(1-tan^2(x))/(sec^2(x) =(1-tan^2(x))/(1/cos^2(x) =(1-tan^2(x))*cos^2(x) =cos^2(x) - sin^2(x) = cos^2(x) - (1 - cos^2(x)) =2cos^2(x) - 1 =cos(2x)

Done

what is the slope-intercept form of a line

Answers

The first of the forms for a linear equation is slope-intercept form. Equations in slope-intercept form look like this: y = mx + b. where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis.

I Hope This Helps! (^_^)

melissa began atop a hill that was 1,350 feet high. she descended 120 feet, took a break and then descended 235 more feet. Which expression shows the change in melissa elevation​

Answers

1500 is the answer I did this a while ago I think not sure
I believe the answer is 1,500

Bananas cost $1.05 a pound at the market. If Conner
bought 3.4 pounds, what was the total cost?

Answers

Answer:

I think the answer is 3.57 because 3.4 x 1.05 is 3.57

The answer is $3.57, $1.05 x 3.4= $3.57

help with this question​

Answers

Answer: answer for a is 690 and answer for b is 3910

Step-by-step explanation:

for first you times 4600 by .15 and than you get and than you subtract 690 from 4600.

Rigoletto's Portraits specializes in making circular portraits of people. A large portrait is 78 in. in diameter. A medium portrait is 26 in. in diameter. Estimate the difference between the areas of the two sizes of portraits. Use 3.14 for mc018-
. Round your answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

Pls help me. 7th grade math

Answers

Answer:

there is a 2/6 chance because there are 2 odd numbers and being spun twice.

Step-by-step explanation:

Answer:

there is a 2/6 chance

Im in 7th grade math lma.o

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