We are given the table that projects the distance of the car per hour. x is associated to time while y is associated to distance. The equation of the line after plotting in MS Excel is y = 900 - 50x. Hence the y-intercept is equal to 900 while the slope is equal to -50. The domain of the function that is x is all positive numbers.
Answer:
1. 56.52 inches
2. 141,300 inches
Step-by-step explanation:
One turn of the tire is the circumference. Therefore, we have to find the circumference first. C = πd = 18π = 18 × 3.14 = 56.52 in
2500 rotations would be 2500 ⋅ 56.52 in = 141,300 in
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9514 1404 393
Answer:
B. Up 1 and 2 to the left
Step-by-step explanation:
The second graph (blue) is up 1 and 2 left of the first graph (red).
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You can compare the given equations to the form ...
y = a(x -h)^2 +k
For the first graph, we have (h, k) = (6, -1).
For the second graph, we have (h, k) = (4, 0).
Then the amount added to the first to make the second is ..
(4, 0) -(6, -1) = (-2, 1) . . . . . . a translation 2 left and 1 up
Answer:
a = 1 b = -1.
Step-by-step explanation:
Suppose the quotient when you divide x^4+x^3+ax+b by x^2 + 1 is
x^2 + ax + b then expanding we have:
(x^2 + 1)(x^2 + ax + b)
= x^4 + ax^3 + bx^2 + x^2 + ax + b
= x^4 + ax^3 + (b + 1)x^2 + ax + b Comparing this with the original expression:
x^4 + x^3 + 0 x^2 + ax + b Comparing coefficients:
a = 1 and b+ 1 = 0 so b = -1.
