14.) |3x + 2| - 8 > 21
|3x + 2| > 21 + 8
| 3x + 2| > 29
3x + 2 > 29 3x + 2 < -29
3x > 29 - 2 3x < -29 - 2
3x > 27 3x < -31
x > 27/3 x < -31/3 or - 10 1/3
x > 9
so the answer for this is : x > 9 or x < -31/3 <===
open circle on -10 1/3, shaded to the left and open circle on 9, shaded to the right
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15.) 4|x - 17 | < = 16
| x - 17 | < = 16/4
| x - 17 | < = 4
-4 < = x - 17 < = 4
-4 + 17 < = x - 17 + 17 < = 4 + 17
13 < = x < = 21 <===
closed circle on 13, closed circle on 21, shaded in between
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16.) 14 + |3 - 2x| > = 10
| 3 - 2x | > = 10 - 14
| 3 - 2x | > = -4
this has no solution because an absolute value cannot equal a negative number
1.5 miles/ .6 hours = 2.5 miles per hour
her walking rate is 2.5 miles per hour
d= r * t
4.5 miles = 2.5 * t
divide each side by 3.5
4.5 /2.5 = t
1.8 = t
t = 1.8 hours
11 am - 9 am = 2 hours
She will make it to work on time because 1.8 hours < 2 hours
Answer:
idont know ✌️
Step-by-step explanation:
Answer:
it now has 851 games left
Step-by-step explanation:
Using the law of cosines, it is found that the distance across the lake is of 978.5 feet.
<h3>What is the law of cosines?</h3>
The law of cosines states that we can find the angle C of a triangle as follows:
in which:
- c is the length of the side opposite to angle C.
- a and b are the lengths of the other sides.
In this problem, the parameters are:
a = 800, b = 900, C = 70º.
Hence the distance across the lake is c, found as follows:
c² = 800² + 900² - 2(800)(900)cos(70º)
c² = 957491
c = 978.5.
The distance across the lake is of 978.5 feet.
More can be learned about the law of cosines at brainly.com/question/2491835
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