Answer:
The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i )
Step-by-step explanation:
Given equation as :
3 x² + 6 x +15 = 0
The value of x fro the quadratic equation a x² + b x + c = 0 is obtained as
x =
So , from given eq , the value of x is now obtain as
x =
Or, x =
Or, x =
∴ x = ( - 1 + 2 i ) , ( - 1 - 2 i )
Hence The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i ) Answer
Answer:
graph g(x)=1/4 x^2 - 2
Step-by-step explanation:
You are to replace x with (1/2x) in the expression x^2-2
So you have (1/2x)^2-2
1/4 x^2-2
Graph some points for g(x)=1/4 x^2-2
The vertex is (0,-2) and the parabola is open up.
I would graph 2 more points besides the vertex
x | g(x) ordered pairs to graph
----------- (-1,-1.75) and (0,-2) and (1,-1.75)
-1 -1.75
0 -2
1 -1.75
Answer:
720 mL ; 1080 ml
Step-by-step explanation:
Givenn:
Apple syrup : water = 2 : 3
Fruit juice volume made using the ratio above = 1800 ml
Sum of ratio = 2 + 3 = 5
Litres of Apple syrup :
(Syrup ratio / total) * total volume of fruit
(2 / 5) * 1800
= 0.4 * 1800
= 720 ml
Litres of water :
(water ratio / total) * total volume of fruit
(3 / 5) * 1800
= 0.6 * 1800
= 1080 ml
Answer:
<em>C. -4.01</em>
<em>H. -7</em>
Step-by-step explanation:
<u>Solving inequalities:</u>
We have a set of numbers to verify which ones of them make the below inequality true

Rearrange

Operating

Flipping

The set of solutions contains every number less than -4
There are only two numbers less than -4 in the set of options:
C. -4.01
H. -7