First you put (x+5) into the initial function wherever you see x so it becomes
(x+5)^2+3(x+5)-10=x^2+kx+30
(x^2+5x+25)+(3x+15)-10 simplified left side
x^2+8x+30 fully simplified left side
thus k=8
x^2+8x+30=0 to find 0s
-4 + 3.7416573867739i
<span>-4 - 3.7416573867739i
</span>these are the roots you find after using the quadratic formula
the second one is the smallest
Answer:


Step-by-step explanation:
Given : Let c represents the number of boxes of chocolate chip cookies and b represents the boxes for butter cookies.
Anna is selling boxes of chocolate chip cookies (c) for $6 each and boxes of peanut butter cookies (b) for $7 each.
i.e. Cost of 'c' chocolate chip cookies = 6c
Cost of b butter cookies = 7b
She must sell at least 30 boxes of cookies and at least $175 worth of cookies.
i.e. 

Thus , the system of inequalities models this situation :


Answer:
122
Step-by-step explanation:
5!=5 x 4 x 3 x 2 x 1 = 120
2!=2 x 1 = 2
120+2=122
It it called an equation. Equation consist of number, symbols, and a equal sign.
To solve, first do -2 times t and -2 times 8. Your equation would look like this after: -2T+(-16)=12. Then add 16 to each side. -2T=28. Next, divide by -2. T=-14 is your answer.