Answer:

Step-by-step explanation:
Given

(a): Write as additive inverse.
An additive inverse is of the form a + (-b)
In this case:


So, the expression can be represented as:

(b): Number line representation
When the expression in (a) is solved.
The result is:

This means that the number line must accommodate 7 and -1.
Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.
Option (d) is a wrong representation of 
Hence, (a) is correct
Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
Corner points in this graph are: ( 0,0 ) ( 0,8 ) ( 5,6 ) and ( 8, 0 ).
If we plug those values in : P = 2 x + 3 y
P ( 0,0 )= 0
P ( 0,8 ) = 2 * 0 + 3 * 8 = 24
P ( 6 , 5 ) = 2 * 6 + 3 * 5 = 12 + 15 = 27
P ( 8 , 0 ) = 2 * 8 + 3 * 0 = 16
The maximum value is:
P max ( 6 , 5 ) = 27
Answer: 2
Step-by-step explanation:
1. Convert the mixed numbers to improper fractions,
2. then find the LCD and combine.
So the easiest way to solve this is to use the straight line provided .
180=90+61+x
180=151+x
29=x