Answer:
<em>x is -34/3 and -26/3</em>
Step-by-step explanation:
Given the expression
3|1/2x+5| + 7 = 5
Removing the modulus sign
3(1/2x+5) + 7 = 5
Subtract 7 from both sides
3(1/2x+5) + 7 - 7= 5 - 7
3(1/2x+5) = -2
Open the bracket
3/2 x + 15 = -2
Subtract 15 from both sides
3/2 x + 15-15 = -2 - 15
3/2 x = -17
3x = -2*17
3x = -34
x = -34/3
<em>Hence the value of x is -34/3</em>
<em>For the negative function:</em>
3(1/2x+5) + 7 = 5
Subtract 7 from both sides
3(-(1/2x+5)) + 7 - 7= 5 - 7
3(-1/2x-5) = -2
Open the bracket
-3/2 x - 15 = -2
Add 15 from both sides
3/2 x + 15-15 = -2 + 15
-3/2 x = 13
-3x = 2 * 13
-3x =26
x = -26/3
<em>Hence the value of x is -26/3</em>
The constant term in the expression is 7
Problema Solution
Terrance and Jesse are training for a long-distance race. Terrance trains at a rate of 6 miles every half hour, and Jesse trains at a rate of 2 miles every 15 minutes.
How long will each person take to run a total of 50 miles at the given rates?
Answer provided by our tutors
d = 50 mi the distance
t1 = the time of Terrance
t2 = the time of Jesse
Terrance trains at a rate of 6 miles every half hour thus his rate is:
v1 = 6/0.5 = 12 mph
Jesse trains at a rate of 2 miles every 15 minutes thus his rate is:
v2 = 2/(15/60) = 8 mph
since speed = distance/time follows time = distance/speed:
t1 = d/v1
t1 = 50/12
t1 = 4 1/6 hr
t1 = 4 hr 10 min
t2 = d/v2
t2 = 50/8
t2 = 6 1/4 hr
t2 = 6 hr 15 min
Terrance will run 4 hours and 10 minutes.
Jesse will run 6 hours and 15 minutes.
Two and a half energy bars it should be the right one.
Answer:
C. 105 
Step-by-step explanation:
<em><u>The formula for a regular polygon is:</u></em>
<em><u /></em>
→ p is the perimeter and a is the apothem
105
