Answer:
m=1
Step-by-step explanation:
Answer: m=-1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
m-(-(4+m)+2)=0
1.1 Pull out like factors :
2m + 2 = 2 • (m + 1)
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
2.2 Solve : m+1 = 0
Subtract 1 from both sides of the equation :
m = -1
Answer:
$4
Step-by-step explanation:
12÷4=3
7÷7=1
3+1=4
therefore she spent 4 dollars
Answer:
See below
Step-by-step explanation:
The starting point of 0 has a value of 3. The common difference of 2 is added at each step increse in n.
n f(n)
0 3
1 5
2 7
3 9
4 11
The can be modeled by the equation y = 2x+3
Part A:
Look at the image attached to my answer for the graph of the inequalities.
There are two different lines provided, one with a more negative slope than the other. The shaded area between them represents the solution set.
The green line is 2x+y≤8, the blue line is x+y≥4
Part B:
To test if (8, 10) is included, substitute x = 8 and y = 10 into both inequalities. If it doesn't satisfy one of them, then it isn't included in the solution area.
2(8) + 10 ≤ 8
16 + 10 ≤ 8
26 ≤ 8... 26 is NOT less then or equal to 8
Thus, (8, 10) cannot be a solution since the inequality is not true.
Part C:
I'm going to choose a random point from the graph, (2, 3). For your answer, any point in the shaded region where both x and y is positive will work.
The point (2, 3) means that Sarah can buy 2 cupcakes and 3 pieces of fudge to get at least 4 pastries for her siblings while staying within her 8 dollar budget.
Let me know if you need any clarifications. Happy Studying~