Hello,
Answer:
The last graph (2;3)
Step-by-step explanation:
2x + 3y = 12
2x – 3y = 0
2x + 3y = 12
2x = 3y
3y + 3y = 12 ⇔ 6y = 12 ⇔ y = 12/6 = 2
2x + 3 × 2 = 12 ⇔ 2x + 6 = 12 ⇔ 2x = 6 ⇔ x = 6/2 = 3
Answer:
1/18
Step-by-step explanation:
The probability of rolling a 1 is 1/6 because there are 6 numbers. You multiply that probability by the probability of getting a 2 or 3 which is 2/6 or 1/3 to get 1/18.
<span>The vertex of the parabola is the highest or lowest point of the graph.
</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3)
Lets work with this now: </span>x^2 -2x +3
x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2
Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8
The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8
This will be the max of the parabola as there is - for the highest factor (-4x^2)
The max: x=1, y= -8
Answer:
The given congruence is false.
Step-by-step explanation:
Given : Expression 
To find : Determine whether the congruence is true or false ?
Solution :
The congruence is in the form 
where, x is the dividend
y is divisor
r is the remainder
So, We find 
We know, 10 is completely divide by 5 and we get quotient is 2 and remainder is 0.
As 
Therefore, The given congruence is false.
Answer:
Decimal: 0.33
Percent: 33.33
Step-by-step explanation:
First 3/1 =0.33333333333 and so on
so put first to numbers 0.33
Second move decimal to right 2 places.
0.33 -> 03.3-> 33.0 or 33
There you go
