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2 years ago

What substitution Should be used to re-write 26(x^3+1)^2-22(x^3+1)-3=0 as a quadratic function?

Mathematics

1 answer:

mel-nik [20]2 years ago

7 0

Answer:

$x^3+1$

Step-by-step explanation:

$26(x^3+1)^2-22(x^3+1)-3=0$

Comparing to

$A(u)^2+B(u)+C =0$

Where A,B,C are constants

You should see that we need to substitute the $x^3+1$ with u.

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The sum of two consecutive integers is 65. what are the two integers? show steps please.

Gnoma [55]

Hi student, let me help you out! :)

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We are asked to find the two integers, given that they are consecutive, and their sum is 65.

$\triangle~\fbox{\bf{KEY:}}$

Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

$\longmapsto\sf{x+x+1=65}$

Combine like terms:

$\longmapsto\sf{2x+1=65}$

Subtract 1 from both sides of the equal sign:

$\longmapsto\sf{2x=64}$

Divide both sides by 2:

$\longmapsto\sf{x=32}$

To find the second integer, subtract the first integer from the sum of the two integers:

$\longmapsto\pmb{65-32}$

$\longmapsto\pmb{33}$

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0

1 year ago

Given f(x) = 3x + 1, solve for x when f(x) = 7.

irakobra [83]

Answer:

f(7) = 22 or x =2

Step-by-step explanation:

f(x) = 3x + 1
f(7) = 3(7) + 1
f(7) = 21 + 1
f(7) = 22

<u>Or if the equation meant it like this:</u>

f(x) = 3x + 1
7 = 3x + 1
6 = 3x
2 = x

4 0

2 years ago

Read 2 more answers

Please help! I will mark you as brainliest!

aivan3 [116]

Answer:

Area = 12 square centimetres

5 0

3 years ago

Read 2 more answers

The revenue (in millions of dollars) from the sale of x units at a home supply outlet is given by R(x)equals=0.210.21x. The p

Natalka [10]

Answer: a) c(x) = 0.124x + 1.1, b) 13 units

Step-by-step explanation: Revenue function = R(x) = 0.21x

Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

c(x) = 0.124x + 1.1

Break even point is the point where total revenue equals total cost

R(x) = c(x)

0.21x = 0.124x + 1.1

0.21x - 0.124x = 1.1

0.086x = 1.1

x = 1.1/0.086

x = 12.79 which is approximately 13 units

4 0

2 years ago

ANSWER FAST MY DUDEZ!<br> What is the value of x in the equation <br> 1.8- 3.7x = 4.2x + 0.3

Inessa [10]

1.8- 3.7x = 4.2x + 0.3

Move 4.2x to the other side

Sign changes from +4.2x to -4.2x

1.8-3.7x-4.2x= 4.2x-4.2x+0.3

1.8-3.7x-4.2x= 0.3

1.8-7.9x= 0.3

Move 1.8 to the other side

Sign changes from +1.8 to -1.8

1.8-1.8-7.9x= 0.3-1.8

-7.9x= 0.3-1.8

-7.9x= -1.5

divide both sides by -7.9

-7.9/-7.9x= -1.5/-7.9

x= 0.18987341

Answer: x= 0.18987341

8 0

3 years ago