Explanation

To solve the equation 4x - 3 = 9:

Add 3 to both sides:

4x = 12

Divide both sides by 4:

x = 3

Explanation

We are asked to find the value of $b$.

Step 1: Start with the given

$$abc = a^2 quad text{and} quad ac = 2$$

Step 2: Substitute
$ac=2$ into the first equation

abc=a^2 ⇒b(ac)=a^2⇒b(2)=a^2

Step 3: Solve for b

$$$$
2b=a^2⇒b=a^2/2​

Explanation

Step-by-step explanation:

Let x , x+1, x+2, x+3 , x+4 are first consecutive numbers

Sum of five consecutive numbers = 60 (Given)

=> x+(x+1)+(x+2)+(x+3)+(x+4) = 60

=> 5x + 10 = 60

=> 5x = 60 - 10

=> 5x = 50

/* Divide each term by 5, and we get

=> x = 50/5

=> x = 10

Therefore,

First number = x = 10

Explanation

Explanation

$$abc=?\text{and }ac=2$$

You want to find the value of $b$ in terms of $a$, assuming:.

$$abc\text{ is implied to be known, or }abc=someexpression.$$

If we assume:

$$abc = a cdot b cdot c quad text{and} quad ac = 2,$$

Then:

$$abc=a\cdot b\cdot c=b(ac)=b\cdot 2=2b$$

So:

$$$$
abc = 2b Rightarrow b = frac{abc}{2}

Explanation

  f(x) = |x| has a cusp at x = 0, making it non-differentiable there.

A function is differentiable at a point if its derivative exists at that point. 

The absolute value function, (f(x)=|x|), has a sharp corner at (x=0). 

Functions with sharp corners are not differentiable at those points.

Explanation

x - 3 =4

x = 4 + 3

x = 7

Explanation

Explanation

a - b = 3

a2 + b2 = 2

the formula used: (a-b)2 = a2 +b2 -2ab

Calculation:

a - b = 3

squaring both sides 

a2 + b2 - 2ab = 9 

2 - 2ab = 9

2 - 9 - 2ab = 0 

-7/2 = ab

Explanation

Firstly, subtract 2x from both sides of the equation to obtain 3x+3=9.

Then subtract 3 to achieve 3x=6.

Finally, divide both sides by 3 to obtain the final answer of x=2.

5x-3=2x-9

5x-2x=9+3

3x=12

x= 12/3

x=4