Step-by-step explanation:
Given
- 4( 3x - 5 ) > - 28
Dividing both sides by - 4 we get
3x - 5 > 7
Adding 5 on both sides we get
3x - 5 + 5 > 7 + 5
3x > 12
Dividing both sides by 3 we get
x > 4
Answer:
8
Those little "sticks" are called absolute value.
For example, the absolute value of 2 is 2, and the absolute value of −2 is also 2. The absolute value of a number may be thought of as its distance from zero along real number line.
Thus, it doesn't matter if the number is positive or negative. As it only counts its <u>d</u><u>i</u><u>s</u><u>t</u><u>a</u><u>n</u><u>c</u><u>e</u><u> </u><u>f</u><u>r</u><u>o</u><u>m</u><u> </u><u>0</u><u>,</u><u> </u><u>o</u><u>n</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>n</u><u>u</u><u>m</u><u>b</u><u>e</u><u>r</u><u> </u><u>l</u><u>i</u><u>n</u><u>e</u><u>.</u>
I hope it helps.
<h2>
Answer:</h2>
<em><u>Recursive equation for the pattern followed is given by,</u></em>

<h2>
Step-by-step explanation:</h2>
In the question,
The number of interaction for 1 child = 0
Number of interactions for 2 children = 1
Number of interactions for 3 children = 5
Number of interaction for 4 children = 14
So,
We need to find out the pattern for the recursive equation for the given conditions.
So,
We see that,

Therefore, on checking, we observe that,

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.
<u>At, </u>
<u>n = 1</u>

which is true.
<u>At, </u>
<u>n = 2</u>

Which is also true.
<u>At, </u>
<u>n = 3</u>

Which is true.
<u>At, </u>
<u>n = 4</u>

This is also true at the given value of 'n'.
<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

2 hours = 120 minutes. Divide 120 by 2, which is 40. So she has 40 minutes for each assignment