What s the answer? 16x-12x=2

Answers

Answer 1

Answer: $x=1/2$ $x=1/2$ $4x=2$

Answer 2

Answer: 16x-12x=2......... 4x=2 /:4....... x=2/4=1/2=0.5

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Ex 3.7
12. find the area between the curve y=x³-2 and the y-axis between y= -1 and y=25

Answers

$y=x^3-2\nx^3=y+2\nx=\sqrt[3]{y+2}\n\n\int \limits_(-1)^(25)\sqrt[3]{y+2}\, dy=\n\int \limits_(-1)^(25)(y+2)^{\tfrac{1}{3}}\, dy=\n\left[\frac{(y+2)^{\tfrac{4}{3}}}{(4)/(3)} \right]_(-1)^(25)=\n$
$\left[(3)/(4)(y+2)^{\tfrac{4}{3}} \right]_(-1)^(25)=\n\left[(3)/(4)(y+2)\sqrt[3]{y+2} \right]_(-1)^(25)=\n(3)/(4)(25+2)\sqrt[3]{25+2}-\left((3)/(4)(-1+2)\sqrt[3]{-1+2}\right)=\n(3)/(4)\cdot27\sqrt[3]{27}-\left((3)/(4)\sqrt[3]{1}\right)=\n(3)/(4)\cdot27\cdot3-(3)/(4)=\n(3)/(4)(81-1)=\n(3)/(4)\cdot 80=\n3\cdot20=\n60$

Yeah, you'd have to use the inverse function to produce this result.

Let's get the inverse function first:

$y={ x }^( 3 )-2\n \n { x }^( 3 )=y+2\n \n x=\sqrt [ 3 ]{ y+2 }$

$\n \n \therefore \quad { f }^( -1 )\left( x \right) =\sqrt [ 3 ]{ x+2 }$

Now, we can solve the problem using:

$\int _( -1 )^( 25 ){ \sqrt [ 3 ]{ x+2 } } dx$

But to solve the problem more easily we make u=x+2, therefore du/dx=1, therefore du=dx.

When x=25, u=27.

When x=-1, u=1.

Now:

$\int _( 1 )^( 27 ){ { u }^{ \frac { 1 }{ 3 } } } du\n \n ={ \left[ \frac { 3 }{ 4 } { u }^{ \frac { 4 }{ 3 } } \right] }_( 1 )^( 27 )$

$\n \n =\frac { 3 }{ 4 } \cdot { 27 }^{ \frac { 4 }{ 3 } }-\frac { 3 }{ 4 } \cdot { 1 }^{ \frac { 4 }{ 3 } }\n \n =\frac { 3 }{ 4 } { \left( { 3 }^( 3 ) \right) }^{ \frac { 4 }{ 3 } }-\frac { 3 }{ 4 }$

$\n \n =\frac { 3 }{ 4 } \cdot { 3 }^( 4 )-\frac { 3 }{ 4 } \n \n =\frac { 3 }{ 4 } \left( { 3 }^( 4 )-1 \right)$

$\n \n =\frac { 3 }{ 4 } \cdot 80\n \n =60$

Answer: 60 units squared.

35.4% expressed as a decimal becomes
A.35.54
B. 0.354
C. 35.0
D.354

Answers

35.4 expressed as a decimal is
B. 0.354

B is the answer because what you do is take 35.4% and divided it by 100 and that gives us our answer.

Find a solution to the inequality x > 7.

Answers

you must isolate the x in order you must divide both of each sides of the inequality by the other variable or coefficients.

Here, x > 7 itself is a solution. It represents x must be less than the 7

Hope this helps!

Thank you if you choose to help

Answers

Answer:

Step-by-step explanation:

12 times 2 is 24

How do you factor 64-x^2 completely?

Answers

$64-x^2$

$This \ fits \ the \ form \ a^2-b^2$

$Rewrite \ it \ where \ a=8 \ and \ b=x$

$Use \ Difference \ of \ Squares$ $a^2-b^2=(a+b)(a-b)$

$(8+x)(8-x)$

What are the two solutions of the equation (-3n)(2n-5)=0

Answers

(-3n)(2n-5)=0
you need to find when -3n=0 and when 2n-5=0
a.
-3n=0
n=0
b.
2n-5=0
2n=5
n=2.5

answer n = 0, 2.5

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