Answer:
d. 3/2r+2c ≤ 10
Step-by-step explanation:
The amount of flour Molly needs for r batches of oatmeal raisin cookies is ...
3/2r
The amount of flour Molly needs for c batches of chocolate chip cookies is ...
2c
The total amount of flour Molly can use for cookies cannot exceed the amount available, so ...
3/2r + 2c ≤ 10
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<em>Comment on the question</em>
The wording is a bit odd. It asks for the amount of flour available—after it tells you the amount available is 10 cups. (I might write that as <em>f ≤ 10</em>.) The answer choices clearly suggest that what is wanted is a representation of the possible mix of batches of cookies for which Molly could use the available flour. IMO, this is another instance of poor editing of math problem wording.
Ok, so we see in
y=a(x-h)^2+k
vertex is (h,k)
vertex is highest or lowest point
on one side, it goes up and other side it goes down
if a is positive, then it goes down then up
if a is negative, it goes up then down
we see
f(x)=2(x+3)^2+2
2 is positive
goes down then up
vertex is (-3,2)
so decreases from -infinity to -3 or ininterval
(-infinity,-3)
answer is first option
Answer:
15 years
Step-by-step explanation:
93400=65000*e^(.025x)
x=14.5 which rounds to 15
Answer:
d = 2.75 or 11/4
Step-by-step explanation:
15 = 5 + 4(2d - 3)
15 = 5 + 8d - 12
15 = 8d - 7
<u>+7 + 7</u>
22 = 8d
22/8 = d
2.75 = d
Check:
15 = 5 + 4(2(2.75) - 3)
-92
Step-by-step explanation:
If a quadratic equation has the following form:
then its discriminant D is defined as
In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is
Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:
there will be 2 real roots
there will be 1 real root
there will be 2 imaginary roots
Hence our given quadratic equation will not have any real roots but only imaginary ones.
