Answer:
- B, A package costs $7 plus $4 per pound to ship.
- B, y = 2x - 2
- B, y = -1/3x + 3
- C, y = 2x + 1
- B, y = 60x + 40
- D, 14 weeks (600 = 40 + 40x)
- Sam, ($13hr)
<em>i hope this helps, good luck :)</em>
Answer:
26
Step-by-step explanation:
Given that :
2 out of every 5 people buys vanilla ice cream;
If Total number of ice cream sold in a day = 65 ; how many will be vanilla ;
Probability of purchasing vanilla ; p(vanilla) = 2/5 = 0.4
Hence, expected number who bought vanilla :
p(vanilla) * total number of icecream sold
0.4 * 65 = 26
Hence, about 26 of the 65 icecream sold are vanilla flavor.
<span>Probability of an event =(Number of favorable outcomes)/(Total number of outcomes)
Here, the number of favorable outcomes is the number of times 3 comes up.
The number of times 3 comes up = 67
Total number of outcomes is the number of times the cube is rolled.
Total number of times the cube is rolled = 450
Therefore, Probability of getting a 3 =67/450
Since 67 is a prime number, 67/450 is the final answer in simplest form.</span>
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
