Answer:
y = 3x + 3
Step-by-step explanation:
The slope is 3 and the intercept (y) is (0,3).
The formula is y = mx + b, where m is the slope and b is the y intercept.
We just substitute the numbers in and we get y = 3x + 3
Answer:
480 different sandwiches
Step-by-step explanation:
To find how many sandwiches can be made, we need to find the number of possibilities for each choice: bread, protein, cheese, vegetables.
Bread: 3 types -> combination of 3 choose 1 -> 3
Protein: 4 types -> combination of 4 choose 1 -> 4
Cheese: 4 types -> combination of 4 choose 1 -> 4
Vegetables: 5 types -> combination of 5 choose 2 -> 5!/(3!*2!) = 5*4/2 = 10
So the number of different sandwiches is:
3 * 4 * 4 * 10 = 480
The answer is D. You are just adding 8 to the number of hours you work because you earn 8 dollars an hour, or you can just multiply the number of hours by the wage you get paid and you would get the your gross pay. It would also be in quadrant 1 because all the numbers are positive and quadrant 1 is all positive numbers not like the other quadrants where there is either all negative numbers or some positive numbers and some negative numbers. But to make things shorter the answer is D.
The first thing we should do is write the functions.
For the area we have:
A = w * h = 20000 feet ^ 2
The price is:
Cost = (4 * 2 * h + 2 * 2 * w)
Substitute for h ::
C (w) = (4 * 2 * (20,000 / w) + 2 * 2w)
Rewrite we have:
C (w) = 160,000 / w + 4w
Take the derivative:
C '(w) = 160000 (-1 / w ^ 2) + 4
We equal zero and clear w:
0 = 160000 (-1 / w ^ 2) + 4
160000 / w ^ 2 = 4
w ^ 2 = 40000
w = 200 (approximately)
width = 200 ft; so cost is 2 * ($ 4) 200 = $ 1600
height = 20000/200 = 100 ft; so cost is 2 ($ 2) 100 = $ 400
Total cost = $ 2000
Answer:
The cost of the least expensive fence is:
Total cost = $ 2000
Answer: A)
x = # of students in math class
2x+7=40
B)
2x+7=40
-7
------------
2x = 33
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2 2
x = 76 students
