This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3
Second part: when (6x + 2) is negative.
-(6x + 2) < 10 Divide both sides of inequality by -1 and change the sign.
(6x + 2) > -10
6x + 2 > -10
6x > -10 - 2
6x > -12 Divide both sides by 6.
x > -12/6
x > -2.
Combined solution: x < 4/3 and x > -2
-2 < x < 4/3.
Graph is a line on the number line between -2 and 4/3.
-2 and 4/3 are excluded from solution.
1 = Hundred tens of thousandths.
0 = tens of thousandths.
6 = thousandths.
5 = hundredths.
3 = tenths.
4 = units.
Answer: 2x -5
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
- <em>John has × marbles </em>
John=x
- <em>Max has twice (multiplied by 2) as many.max give gives john 5 of his marbles.
</em>
We have to multiply by 2 the number of marbles that John has (x), and subtract 5.
Max = 2x -5
Feel free to ask for more if needed or if you did not understand something.
Answer:
29
Step-by-step explanation:
Use definition of conditional probability:

where
A = the student is a freshman,
B = the student is a male
From the table,

So,

Answer: 131.37 and the volume is 341.25
Step-by-step explanation: