Hi there.
To convert ounces to pounds, we use the formula
gives us 6 lbs.
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Answer:
34 + 35 + 36 = 105
Step-by-step explanation:
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 105
3X + 3 = 105
3X + 3 - 3 = 105 - 3
3X = 102
3X/3 = 102/3
X = 34
Which means that the first number is 34, the second number is 34 + 1 and the third number is 34 + 2. Therefore, three consecutive integers that add up to 105 are 34, 35, and 36.
34 + 35 + 36 = 105
We know our answer is correct because 34 + 35 + 36 equals 105 as displayed above.
Answer:
C ( h(x) = x^2 - 6x)
Step-by-step explanation:
Assuming that the function has a slope of 1 (none of the answer choices show a different slope, for all of the coefficients of x^2 are 1) the easiest way to solve this problem would be to find the function for the graph instead of inputting points from the graph into each of the function. (you could do that if you weren't sure.) To get a function from the graph, we first have to find the vertex and enter it into this vertex form function:
h(x) = (x - a )^2 - b
(there are other ways, but finding the vertex and putting the function in vertex form and then simplifying is the easiest way in this situation.) Looking at the graph, we can tell that the vertex of the function is (3, -9). Using the fact that h(x) = (x - a )^2 - b works for the vertex (-a, b), we can conclude that the function is
h(x) = (x - 3)^2 - 9.
This is not an answer! We have to simplify (x - 3)^2 - 9 to answer the question. By squaring x - 3, we get:
x^2 - 6x + 9 - 9 =
x^2 - 6x.
Therefore, the answer is:
C (h(x) = x^2 - 6x).
(Y2-y1)/(x2-x1) is slope equation
Pick any two points (600,0) and (0,-600)
(-600-0)/(0-600) = -600/-600 = 1
y = x + b
Plot the points inside
0 = 600 + b
b = -600
Final equation: y = x - 600
