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>
Answer:
ratio of regular to diet soda = 16/9
Step-by-step explanation:
Jessica brought a cooler to the family picnic filled with 32 cans of regular soda and 18 cans of diet soda. This means
Number of cans of regular soda = 32
Number of cans of diet soda = 18
Total number of soda brought to the family picnic = number of cans of regular soda + number of cans of diet soda
= 32 + 18= 50
the ratio of regular soda cans to diet cans in the cooler= 32/18
Divide numerator and demo minator by 2, we have 16/9.
The fraction cannot be reduced further. So ration of regular to diet soda = 16/9
Answer:
a.- slope= 36
Interpretation : The cable car travels 36 meter per minute
b.- y = 36x + 100
c.- 640 meters
Step-by-step explanation:
a.-
Find slope using the slope formula : 
Plug in the two given points: 
Subtract the numbers : 
Reduce the fraction : 36
b.-
Using the given y-interspet (100) and the slope create an equation: y = 36x + 100
c.-
Using the equation you created plug in 15 for x to find the
distance: y = 36 (15) + 100
Multiply the numbers : y = 540 + 100
Add the numbers : y = 640
