Answer:
(12,-6)
Step-by-step explanation:
we have
----> inequality A
---> inequality B
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)
<u><em>Verify each point</em></u>
Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B
case 1) (0,-1)
Inequality A
![-1\leq \frac{4}{3}(0)+5](https://tex.z-dn.net/?f=-1%5Cleq%20%5Cfrac%7B4%7D%7B3%7D%280%29%2B5)
----> is true
Inequality B
![-1\geq -\frac{5}{2}(0)+5](https://tex.z-dn.net/?f=-1%5Cgeq%20-%5Cfrac%7B5%7D%7B2%7D%280%29%2B5)
----> is not true
therefore
The ordered pair is not a solution of the system
case 2) (0,3)
Inequality A
![3\leq \frac{4}{3}(0)+5](https://tex.z-dn.net/?f=3%5Cleq%20%5Cfrac%7B4%7D%7B3%7D%280%29%2B5)
----> is true
Inequality B
![3\geq -\frac{5}{2}(0)+5](https://tex.z-dn.net/?f=3%5Cgeq%20-%5Cfrac%7B5%7D%7B2%7D%280%29%2B5)
----> is not true
therefore
The ordered pair is not a solution of the system
case 3) (-6,-6)
Inequality A
![-6\leq \frac{4}{3}(-6)+5](https://tex.z-dn.net/?f=-6%5Cleq%20%5Cfrac%7B4%7D%7B3%7D%28-6%29%2B5)
----> is true
Inequality B
![-6\geq -\frac{5}{2}(-6)+5](https://tex.z-dn.net/?f=-6%5Cgeq%20-%5Cfrac%7B5%7D%7B2%7D%28-6%29%2B5)
----> is not true
therefore
The ordered pair is not a solution of the system
case 4) (12,-6)
Inequality A
![-6\leq \frac{4}{3}(12)+5](https://tex.z-dn.net/?f=-6%5Cleq%20%5Cfrac%7B4%7D%7B3%7D%2812%29%2B5)
----> is true
Inequality B
![-6\geq -\frac{5}{2}(12)+5](https://tex.z-dn.net/?f=-6%5Cgeq%20-%5Cfrac%7B5%7D%7B2%7D%2812%29%2B5)
----> is true
therefore
The ordered pair is a solution of the system (makes true both inequalities)
Answer:
25
Step-by-step explanation:
i just subtracted 58 from 33.
Well $25 is the standard price initially.
$10 is added every hour as a constant rate.
Therefore a. 25 + 10h is the right expression
Answer:7/12
Step-by-step explanation:there are 12 coins in total and 7 of them are pennies