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.
Answer:
C
Step-by-step explanation:
Rather than picking, let's try to construct one from the description.
reflected over the x axis means -
the vertex is usually at (0,0), now how do we move a graph? or in other words translating it.
To move left and right you use
where if you subtract h you move right and if you add h you move left. we go from (0,0) to (-4,2). so 0 to -4 is 4 left, so that means we add 4.
To move up and down we use
Here if v is positive you move up and if v is negative you move down. going from (0,0) to (-4,2) it moves up 2
So now we put them all together
And if you look, C matches that exactly.
Answer:
The sequence <u>is</u> geometric and the common ratio is 2
Step-by-step explanation:
A sequence is geometric if each term (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.
Examples: 1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.
Also, --> 4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because
4 * 1/2 = the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.
In this case, 3 * 2 = 6
6 * 2 = 12
12 * 2 = 24
The sequence <u>is</u> geometric and the common ratio is 2
Answer:
7.85 cm
Step-by-step explanation:
The circumference of a circle can be found using the following formula.

The diameter is 2.5 centimeters. Therefore, we can substitute 2.5 cm in for d.

Now, find the circumference.
- In terms of pi:



-Using 3.14 as pi



-Using 3.14159... as pi


Hi , the answer is 52% , because 13 divided by 25 equals to 0.52 , we move the decimal two spaces to the right , so the answer is 52.