<h3>
Answer: b = 4 and c = 7.</h3>
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Explanation:
Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.
The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.
Plug those three values into the vertex form below
y = a(x-h)^2 + k
y = 1(x-(-2))^2 + 3
y = (x+2)^2 + 3
Then expand everything out and simplify
y = x^2+4x+4 + 3
y = x^2+4x+7
We see that b = 4 and c = 7.
The sum of the angles of a quadrilaterals is 360 so 8s=360 s=45
9/15=4/x
One solution was found :
x = 20/3 = 6.667
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
9/15-(4/x)=0
Step by step solution :
Step 1 :
4
Simplify —
x
Equation at the end of step 1 :
9 4
—— - — = 0
15 x
Step 2 :
3
Simplify —
5
Equation at the end of step 2 :
3 4
— - — = 0
5 x
Step 3 :
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
<h3>
Answer: 336</h3>
Explanation:
Label the slots A,B,C for first through third place.
There are 8 choices for slot A, 7 for slot B, and 6 for slot C. We start with 8 and count our way down until we get to the final slot. Then we multiply out those values
8*7*6 = 336
There are 336 ways to select three people from a pool of eight overall.
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If you want to use the permutation formula, then your steps might look like this
Note how the 5! terms cancel out on the second to last step, leaving behind the expression 8*7*6 which was found earlier.
