Answer:
Thus, the value of expression is .
Step-by-step explanation:
Given : 3 + (2 + 8)power 2 ÷ 4 × 1 over 2 to the power of 4
Mathematically written as
We apply BODMAS,
Where ,
B stands for brackets
O stands for order
D stands for division
M stands for multiplication
A stand for addition
S stands for subtraction.
Consider the given expression,
Using BODMAS rule, solving for brackets first,
Thus, the value of expression is
Let's try the actual solution of the system
<span>y = –2x + 1
y = –2x – 3
Note that the slopes of the graphs of these two lines are the same: -2.
That means that the lines are parallel to one another.
Only the y-intercepts (1 and -3) are different.
Since the 2 lines never intersect, the system has no solution.
</span>
Answer:
k = - 
, k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = -
k - 2 = 0 ⇒ k = 2
Answer:
Step-by-step explanation:
Instead of dividing both sides by 5, it is multiplied
5x + 3 = 6 {Subtract 3 from both sides}
5x + 3 - 3 = 6-3
5x = 3 {Divide both sides by 5}
5x/5 = 3/5
x = 3/5
