Answer:
Step-by-step explanation:
We would like to solve the given quadratic equation by <u>c</u><u>o</u><u>m</u><u>p</u><u>l</u><u>e</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>the</u><u> </u><u>square</u><u> </u><u>method</u> .The given equation is ;
Subtract 12x to both sides ,
Here the co-efficient of x² is already 1 . So , we shall rewrite it as ,
Add 6² on both sides ,
Now LHS is in the form of (a-b)² = a²-2ab+b² ; so that ;
Simplify RHS ,
Put square root on both sides,
Add 6 on both sides,
Separate the two solutions ,
And we are done!
Answer:
Add
3 over 20
3
20
+ 7 over 16
7
16
= 47 over 80
47
80
Step 1 of 2: Add, sub-step a: Find the common denominator.
Find common denominator
3 over 20
3
20
+ 7 over 16
7
16
= ( 3 × 4 ) over ( 20 × 4 )
3 × 4
20 × 4
+ ( 7 × 5 ) over ( 16 × 5 )
7 × 5
16 × 5
= 12 over 80
12
80
+ 35 over 80
35
80
80 is the least common multiple of denominators 20 and 16. Use it to convert to equivalent fractions with this common denominator.
Add
12 over 80
12
80
+ 35 over 80
35
80
= ( 12 + 35 ) over 80
12 + 35
80
= 47 over 80
47
80
Step 1 of 2: Add.Hide
Step 2 of 2: Simplify.
Simplify
47 over 80
47
80
Step 2 of 2: Simplify, sub-step a: Reduce the fraction to the lowest terms.
Reduce the fraction to lowest terms
Answer:
500 minutes
Step-by-step explanation:
100% = x
15% = 75
We multiply 75 by 100 and divide the answer by 15
7500 / 15 = 500 minutes
Answer:
The restrictions will be:
x ≠ 0;
x² ≠ 0 ⇒ x ≠ 0 ;
5x² ≠ 0 ⇒ x² ≠ 0 ⇒ x ≠ 0;
Step-by-step explanation:
As we know that
There are two genuine reasons why domains are restricted.
We cannot divide the expression by 0 as it would be undefined then.
We cannot take the square root of a negative number, as the result will not be a defined.
Considering the expression
As we can not put x = 0 in the denominator as it would make the expression undefined.
In other words, the certain values which make the denominator equal to zero for a rational expression will be restricted values.
Hence, the restrictions will be:
x ≠ 0;
x² ≠ 0 ⇒ x ≠ 0 ;
5x² ≠ 0 ⇒ x² ≠ 0 ⇒ x ≠ 0;
It's 5 because the fraction when you divide. 23.