Answer:
The value of x is 3
Step-by-step explanation:
=> −6 + x = −3
=> x = -3+6
=> x = 3
Answer:
Look for where both functions have the same y value. For example, when x = 3 in #7, both are 5. So the solution is (3,5).
Step-by-step explanation:
Each table has two functions. This forms a system of equations. A system of equations is essentially two conditions that must both be met to produce a solution. A solution can be found as where the two equations are equal. In the table, look for where both functions have the same y value for some x. This will be where the values are the same in the same row. This is the solution and is written as an (x,y) point.
7. When x = 3 both functions are 5. The solution is (3,5).
Answer:
(-5, -2)
Step-by-step explanation:
Note that on the interval (-5, -2), the line segment representing the graph is pointed downward: y decreases as x increases.
Answer:
The points are (-16,7),(10,7),(-3,-6) and (-3,20)
Step-by-step explanation:
We have that one endpoint is at (-3,7) and the length is 13 units.
A point that is 13 units horizontally to the left and right will have the same y-coordinate but with x-coordinates that are 13 units from -3.
![| - 3 - x| = 13](https://tex.z-dn.net/?f=%20%7C%20-%203%20-%20x%7C%20%20%3D%2013)
![( - 3 - x) = 13 \: or \: - ( - 3 - x) = 13](https://tex.z-dn.net/?f=%28%20-%203%20-%20x%29%20%3D%2013%20%5C%3A%20or%20%5C%3A%20%20-%20%28%20-%203%20-%20x%29%20%3D%2013)
![x = - 16 \: or \: x = 10](https://tex.z-dn.net/?f=x%20%3D%20%20-%2016%20%5C%3A%20or%20%5C%3A%20x%20%3D%2010)
Hence we have (-16,7) and (10,7)
Also a point that is 13 units vertically up and down will have the same x-coordinate but with y-coordinates that are 13 units from 7.
![|y - 7| = 13](https://tex.z-dn.net/?f=%20%7Cy%20%20-%207%7C%20%20%3D%2013)
![(y - 7) = 13 \: or \: - (y - 7) = 13](https://tex.z-dn.net/?f=%28y%20-%207%29%20%3D%2013%20%5C%3A%20or%20%5C%3A%20%20-%20%28y%20-%207%29%20%3D%2013)
![y= - 6 \: or \: y = 20](https://tex.z-dn.net/?f=y%3D%20%20-%206%20%5C%3A%20or%20%5C%3A%20y%20%3D%2020)
Hence we again have (-3,-6) and (-3,20)
Qualify for free shipping. Earthen red clay costs $0.75
per pound, and porcelain white clay costs $1.10
per pound.
To summarize the situation, the artist writes the inequality:
0.75r+1.1w≥100
, where r
is the number of pounds of earthen red clay, and w
is the number of pounds of porcelain white clay.
Which graph's shaded region shows the possible combinations of earthen red clay and porcelain white clay the artist can buy to qualify for free shipping?