Which point is NOT part of the solution of the inequality y < |3x| + 1?
1 answer:
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Answer and explanation:
1. 9:12 or or 9 to 12
It has 9 first because there are 9 lions and then 12 after because there are 12 elephants.
2. 8:16 or or 8 to 16
It has 8 first because there are 8 giraffes and then 16 after because there are 16 otters.
3. 9:10 or or 9 to 10
It has 9 first because there are 9 lions and then 10 after because there are 10 seals.
4. 10:12 or or 10 to 12
It has 10 first because there are 10 seals and then 12 after because there are 12 elephants.
5. 12:9 or or 12 to 9
It has 12 first because there are 10 elephants and then 9 after because there are 9 lions.
6. or
or
I just multiplied it first the first one by 2, second one by 10, and 3rd one by 4.
7. or
or
I just simplified it first, then I multiplied the simplified one by 6 for the second one, and for the 3rd one I multiplied the simplified by 10.
8. or
or
I just simplified it first, then I multiplied the simplified one by 2 for the second one, and for the 3rd one I multiplied the simplified by 10.
9. 3:4 is equivalent to 6:8, 30:40, 12:16
I multiplied it first by 2, then by 10, then by 4.
10. 5:7 is equivalent to 10:14, 50:70, 25:35
I multiplied it first by 2, then by 10, then by 5.
11. 9:2 is equivalent to 18:4, 90:20, 27:6
I multiplied it first by 2, then by 10, then by 3.
12.
a. 48
So first, the ratio we know is 5:4 which in other words is 5x:4x. We also know that there are 60 clownfish. So that means 5x = 60 --> x = 12. So then 4x has to equals 12 x 4 which is 48.
b. 36
So first, the ratio we know is 4:3 which in other words is 4x:3x. We also know that there are 48 angelfish. So that means 4x = 48 --> x = 12. So then 3x has to equals 12 x 3 which is 36.
Hope this helped! <3
Answer:
Hence the maximum possible volume will be the 778.53 c.c
Step-by-step explanation:
Given:
A rectangle with 13 x 26 dimensions
And corners are cut to form side squares.
To Find:
Maximum possible volume for box
Solution :
Consider a rectangle of 13 x 26 dimension with and side of square at corner be x.
(Refer the attachment)
Now,
Formulating the volume equation for the box
So corner square sides we are going to fold up which makes height of the box
and remaining part will be length and breadth
As shown in fig,
Length=26-x
breadth=13-x
And height will be x
To get maximum volume differentiate the above equation,
Now ,Solve the Quadratic Equation to get x values,
=0
x=[-b±(b^2-4ac)^1/2]/2a
x=[78±Sqrt[(78)^2-4*338*3)]/2*3
x=[78±Sqrt(3028)]/6
x=[78±55.027]/6
x=78+55.027/6 or x=78-55.027/6
x=22.17 or x=3.8288
Use these values in 6x-78 to know which value posses the max and min value for the function.
So when x=22.17
6x-78=6*22.17-78
=55.02>0 i.e function will have minimum value .
When x=3.8288
6*3.8288-78
=-55.0272<0 i.e. Function will have maximum value
Now, the function will defines the maximum volume
