The absolute value is defined as
So for example, if <em>x</em> = 3, then |<em>x</em>| = |3| = 3, since 3 is positive. On the other hand, if <em>x</em> = -5, then |<em>x</em>| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.
For the inequality |7 + 8<em>x</em>| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.
• If 7 + 8<em>x</em> ≥ 0, then |7 + 8<em>x</em>| = 7 + 8<em>x</em>, so that
• Otherwise, if 7 + 8<em>x</em> < 0, then |7 + 8<em>x</em>| = -(7 + 8<em>x</em>), so that
The solution to the inequality is the union of these two intervals.
Correct question is;
Peter wants to make four necklaces that are the same way. He asked his friends to cut the string for the necklace 15 paper clips long. Would all the lengths be the same? Explain your think
Answer:
No, the lengths would not be the same. This is due to the fact the the paper clips could be in different sizes.
Step-by-step explanation:
We are told that he wants to make four necklaces that are the same way and that he told his friends to cut the string for the necklace 15 paper clips long.
Now, we are not told the sizes of the paper clips and we know that paper clips come in different sizes. Thus the paper clips in which the strings are cut could be in different sizes. Therefore, the lengths wouldn't be the same due to that.
So the height will equal 95.50 inches.
So if you double the height the volume is 1800cm3 and that is double the original volume
And if you double the height the volume is 3600cm3 and that is the triple the original volume
Answer:
Step-by-step explanation:
<u>Since ΔFHG ≅ QRC, the corresponding angles are congruent:</u>
- ∠F = ∠Q
- (2x + 10)° = (3x + 1)°
- 3x - 2x = (10 - 1)°
- x = 9°
<u>Then, the angle Q measures:</u>
The value would be 829.89.
The formula we use is
,
where A is the total amount, p is the principal, r is the rate expressed as a decimal number, n is the number of times per year the interest is compounded, and t is the number of years.
We will use 800 for p; 5.25/100 = 0.0525 for r; 365 for n; and (255/365) for t (since it is not a full year):
