Explanation

• To find the product of 9 and 994:
• 9 × 994 = 8946
• So, the correct answer is 8946.

Explanation

To translate the statement into an equation, we need to break it down.

The phrase "Two times a number" can be represented as 2x, where x represents the unknown number.

The phrase "taken away from 10" indicates subtraction, so we subtract 2x from 10.

Finally, the phrase "is 4" means that the expression is equal to 4.

Combining these elements, we get the equation:

10 - 2x = 4

Explanation

= -19 + 10

= - 9

***

ND28-1-2023

Explanation

The average of statistical data is called Mean or Arithmatic mean

Explanation

Simplify the following fraction:

$$frac{3}{10} times frac{5}{2}$$

Step-by-step solution:

3×5/10×2​=​

Now simplify $\frac{\mathrm{<span\; class="katex-display"\; style="font-family:\; Overpass,\; sans-serif;\; font-size:\; 14px;"><span\; class="katex">15/</span><span\; style="font-size:\; 0.875rem;">20</span></span>}}{}$

15/20​=3/4​

Explanation

let Ali age=x 

Than saleem =3x

3x-x=18

2x=18

x=18/2=9

3*9=27

Explanation

When rounding to 2 decimal places, check the third decimal place.

The second decimal place remains unchanged since the third decimal is 0 (less than 5).

Therefore, 6.260 rounds to 6.26.

Explanation

To find the least common multiple (LCM) of 6 and 8, we need to list the multiples of each number:

Multiples of 6: 6, 12, 18, 24, ...

Multiples of 8: 8, 16, 24, ...

The smallest number that appears in both lists is 24, so the LCM of 6 and 8 is: 24

Explanation

(9+36) * 100= 4500

******

RY 31-12-2022

Explanation

To determine if a given linear polynomial x−a is a factor of a polynomial f(x), we need to check whether f(a)=0. This is based on the Factor Theorem, which states that n

x−a is a factor of f(x) if and only if  f(a)=0.

Here are the steps to check if  f(x) at x = a is a factor of f(x):

1. Evaluate f(x) at x=a: Substitute a into the polynomial f(x).
2. Calculate f(a).
3. Check the result:

f(a)=0, then x−a is a factor of f(x).

f(a) is not equal to 0, then x−a is not a factor of f(x)