The value of the expression (5)³
1 answer:
You might be interested in
Answer:
x >= -7 ................(1a)
x >= 3 ...............(2a1)
Step-by-step explanation:
f(x) = .............(0)
find the domain.
To find the (real) domain, we need to ensure that each term remains a real number.
which means the following conditions must be met
x+7 >= 0 .....................(1)
AND
x^2+2x-15 >= 0 ..........(2)
To satisfy (1), x >= -7 .....................(1a) by transposition of (1)
To satisfy (2), we need first to find the roots of (2)
factor (2)
(x+5)(x-3) >= 0
This implis
(x+5) >= 0 AND (x-3) >= 0.....................(2a)
OR
(x+5) <= 0 AND (x-3) <= 0 ...................(2b)
(2a) is satisfied with x >= 3 ...............(2a1)
(2b) is satisfied with x <= -5 ................(2b1)
Combine the conditions (1a), (2a1), and (2b1),
x >= -7 ................(1a)
AND
(
x >= 3 ...............(2a1)
OR
x <= -5 ................(2b1)
)
which expands to
(1a) and (2a1) OR (1a) and (2b1)
( x >= -7 and x >= 3 ) OR ( x >= -7 and x <= -5 )
Simplifying, we have
x >= 3 OR ( -7 <= x <= -5 )
Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.
<u>ANSWER: </u>
Division, multiplication, addition is the correct sequence of operations for solving
<u>SOLUTION: </u>
Given, equation is
We need to solve the given equation in correct sequential order.
So, let us follow the BODMAS rule.
BODMAS means sequence of operations are brackets, orders, division, multiplication, addition, subtraction
Now,
As the term in brackets cannot be processed further we can go for next term.
Now the division operation has to be done first according to BODMAS
- 0.125(x+35)= -7
Multiplication comes second in order.
-0.125x+4.375= -7
On rearranging the terms, we get
-0.125x+4.375+7=0
Now perform addition according to BODMAS
-0.125x+11.375=0
0.125x=11.375
Hence division, multiplication, addition is the correct sequence of operations for solving