Answer: g > 7
Graph has an open circle at 7 on the number line, shading to the right
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Explanation:
Think of it like saying "I have a number, and I add on 5. The result is something larger than 12". You can guess and check your way to the answer, but the quickest way is to subtract 5 from both sides.
We subtract to undo the addition happening to the 'g'.
g+5 > 12
g+5-5 > 12-5
g > 7
So the number is larger than 7. For instance, if g = 8, then,
g+5 > 12
8+5 > 12
13 > 12
This is a true statement.
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If you need to graph the solution, then you'll have an open circle at 7 on the number line. The open circle says to the reader "don't include this value as part of the solution set". Shade to the right of the open circle to describe all values larger than 7.
In summary, the graph has an open circle at 7 and shading to the right.
Answer:
2(2x + 5)
Step-by-step explanation:
2 is common to both 4x and 10, so 4x + 10 = 2(2x + 5)
Answer: y = 15x + 32
Step-by-step explanation: 32 is the start up fee meaning that it's the y-intercept because even at 0 months, you have to pay $32. The $15 is the slope because that's what you pay per month... so it's the amount of months (x) multiplied by the dollar amount ($15).
Answer:
The total number of ways in which the 5 people can sit is: 5!=120: 5!=120
Let us assume that person d and e are sitting together and are taken as a single entity, the number of ways in which 4 people can sit is: 4!=24: 4!=24
The number of ways in which d and e are not sitting together: 1120−24=96.
Answer:
x=2
Step-by-step explanation:
axis of symmetry is
x-2=0
or
x=2
