9514 1404 393
Answer:
5
Step-by-step explanation:
Katherine will use a multiple of 1/2 pint to serve her guests. That is the number of pints she will serve will be 2 1/2 = 5/2 = 5×(1/2).
Katherine can serve a maximum of 5 guests with the ice cream she purchased.
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We could look at the quotient of 2 2/3 = 8/3 and 1/2. It will be ...
(8/3)÷(1/2) = (8/3)×(2/1) = 16/3 = 5 1/3
The largest whole number in this value is 5, the number of guests Katherine can serve.
A quadratic with roots at 8 and 5 is f(x) = x^2 + 10x - 24
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -12 ----> add 8 from both sides
x + 12 = 0
We can do the same for the other zero.
x = 2 ----> subtract from both sides
x - 2 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 12)(x - 2)
f(x) = x^2 + 12x - 2x - 24
f(x) = x^2 + 10x - 24
Answer:
thshajvdhsuuwhwhhehehshdvvehwisbbdhsuwjbbgyausbgdhsbwvs

To solve this equation , we need to write it in quadratic form

To get the equation in quadratic form we replace x^2 with u

can be written as
, Replace u for x^2
So equation becomes

Now we factor the left hand side
-16 and -1 are the two factors whose product is +16 and sum is -17
(u-16) (u-1) = 0
u -16 = 0 so u=16
u-1 =0 so u=1
WE assume u = x^2, Now we replace u with x^2
Now take square root on both sides , x= +4 and x=-4
Now take square root on both sides , x= +1 and x=-1
So zeros of the function are -4, -1, 1, 4
Answer:
the combined age of the three people is
5 J + 24
Step-by-step explanation:
Jill (J)
Kate (J+6)
Ben 3(J+6)
J + (J+6) + 3(J+6)
J+J + 6 +3 J +18
5 J + 24