1/10x + 6 = 2/5x
6 = 2/5x - 1/10x
6 = 4/10x - 1/10x
6 = 3/10x
6 / (3/10) = x
6 * 10/3 = x
60/3 = x
20 = x <=== the gas tank can hold 20 gallons
Answer:
11. x=15 , 12. x=-16, 13 x is greater than or equal to 15 , 14 x=-3 , 15 x=-3, 16 x=15/2 , 17 x is greater than is equal to -4, 18: x is greater than -11
Step-by-step explanation:
11. 4x+15=75
subtract 15
4x=60
divide
x=15
12. 2x = -32 (subtract 13 from each side)
divide
x=-16
13. multiply each side by
-3/2
x is greater than or equal to 15
14. -3x -18 + 5 = -4
isolate x
-3x=9
x=-3
15. -5x-30 +5=-10
isolate x
-5x = 15
x= -3
16. 2x + 16 = 6x - 14
isolate x
4x = 30
x= 15/2
17 isolate x
x is greater than is equal to -4
18. isolate x
x is greater than -11
Answer:
D 2400 ft^2
Step-by-step explanation:
His joumey maps out a right angles triangle with base 80 and height 60.
The required area = 1/2 * 80 * 60
= 2400 ft^2
Answer:
4(6+x)
Step-by-step explanation:
Answer:
i) D: All real numbers
ii) R: 
iii) Y-int: b=2
Step-by-step explanation:
i) The given absolute value function is

The domain is all values of x that makes the function defined.
The absolute value function is defined for all values of x.
The domain is all real numbers.
ii) The given function is 
The function has vertex
.
The function is reflected in the x-axis.
This means the vertex is the maximum point on the graph of the function.
The maximum y-value is 5.
The range is therefore
or ![(-\infty,5]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C5%5D)
iii) To find the y-intercept, put
into the function.




The y-intercept is (0,2) or 
See attachment for graph.