Part A
To graph this, we plot open holes at -2 and 3 on the number line. Shade between these open holes to represent values between -2 and 3, but we don't include the endpoints.
See figure 1 below.
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Part B
Solve the first inequality to get
Now solve the second inequality
We have 
The graph will have an open hole at -3 and a closed/filled in circle at 1. We shade everywhere but the region between these marked values. The left portion in blue represents stuff smaller than -3; the right portion in red represents values equal to 1 or larger.
See figure 2 below.
Answer:
0, 5/4
Step-by-step explanation:
If 
, you get 0=0, which is obviously true.
As long as K is not 0, you can divide by k and get 
which is solved by 
Answer: Yes, Daniel has enough money to buy 2 pens.
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Explanation:
x = cost of one pencil
y = cost of one pen
4x = cost of 4 pencils
3y = cost of 3 pens
4x+3y = cost of 4 pencils and 3 pens
100 - (4x+3y) = amount Daniel has left = 7 dollars
100-(4x+3y) = 7 is one equation we can form
Another equation we can form is x = y+3 because "each pencil costs $3 more than each pen".
Let's plug that into the first equation and solve for y.
100-(4x+3y) = 7
100-(4(y+3)+3y) = 7
100 - (4y+12+3y) = 7
100 - (7y+12) = 7
100 - 7y - 12 = 7
-7y + 88 = 7
-7y = 7-88
-7y = -81
y = -81/(-7)
y = 11.57 is the cost of one pen
2y = 2*11.57 = 23.14 is the cost of two pens.
Since this is less than $25, this means he has enough to buy two pens. This assumes that we either ignore tax, or the tax is already included in the listed prices.
9514 1404 393
Answer:
- agency: $14,306
- agent: $3,576.50
Step-by-step explanation:
The agency's commission was ...
0.046 × $311,000 = $14,306
The agent's commission was ...
0.25 × $14,306 = $3,576.50
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The agency made $14,306; the agent earned $3,576.50.
Answer:
they will eat 12 food altogether
