Answer (-3,6)
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f(x)=x ² +6x+15
=(x ² +6x+9)+6
=(x+3) ²+6
the vertex:(-3,6)
Try breaking these into sections.
Twice: 2 times
The sum of: add
A number: choose a variable, like x
---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"
-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"
Is: equals
-------"Twice the sum of a number and four is" becomes "2(x+4)="
23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"
three times the number: 3 times x
---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"
-------So the final phrase: 2(x+4)=3x-23"
Answer: 
Step-by-step explanation:
To find the number of girls signed up for camp, we just subtract the number of boys from to total number of children. There are 132 boys and 219 children, which gives us
219 - 132 = 87 girls. To find how many boys there are than girls, we just find the difference between the 132 boys and 87 girls by subtracting again:
132 - 87 = 45 more girls than boys.
