The sum of two numbers is 32. One number is 3 times as large as the other. What are the numbers?
1 answer:
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Graph the system of linear inequalities
x + y > 5
- x - y < -5
First we graph x + y >5
Step 1: replace > symbol by = sign
x + y =5
step 2 : Solve the equation for y
x + y =5 (subtract x from both sides)
y = 5 - x
step 3: Now we make a table . plug in some number for x and find out y
x -----> y
-1 -----> 6 ( y=5-x => y=5-(-1)= 6)
0 -----> 5 ( y=5-x => y=5-(0)= 5)
1 -----> 4 ( y=5-x => y=5-(1)= 4)
Step 4: we graph the table.
step 5: Shade the region that satisfies our inequality
x + y > 5. Greater than symbol implies that we shade the graph to the right
Graphing second inequality - x - y < -5
All terms have negative sign . so divide all the terms by -1. When we divide an inequality by -1 its sign changes
- x - y < -5 becomes x + y > 5
Follow the same steps to graph this inequality
After dividing the second equation by -1 , we got the same as the first equation.
So we will get the same graph
Both graphs overlaps
The graph of first and second inequality overlaps
The graph is attached below
Answer:
"Multiply the previous value by 2"
Step-by-step explanation:
Let's check the first 2 terms for all the answer choices.
1. Add to the previous value:
Doesn't match.
2. Subtract from the previous value:
Doesn't match.
3. Divide the previous value by 2:
Doesn't match.
4. Multiply the previous value by 2:
DOES WORK!
Also, doing the same thing with all the other values would give us matching answer. So this choice is right.