Answer:
b = 29.0, A = 123.9°, C = 20.1°
Answer:
Move all the points on the graph two points to the right
Step-by-step explanation:
f(x-2) is just a translation to the right by 2. The whole formula is typically y = a f(b(x + c)) + d. In this case, the C value is the one being changed and that indicates a translation left or right. -2 indicates 2 to the right.
<u>Complete Question:</u>
Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?
A. The distance traveled depends on the number of hours traveled.
B. The number of hours traveled depends on the speed of the train.
C. The speed of the train depends on the distance traveled.
D. The speed of the train depends on the number of hours traveled.
<u>Answer:</u>
Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled
<u>Step-by-step explanation:</u>
As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,
Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time
If 'v' is constant,
By this we can conclude that, the distance travelled by the train depends on the time taken to travel to it. Hence option A would be the correct one.
Step-by-step explanation:
The null hypothesis: The department has determined that there should be 40% A’s given, 40% B’s given and 20% C’s given as final grades for the course
If the p-value for this hypothesis test is = 0.000... and this number is lower than the 0.05 significance level, we reject the null hypothesis and conclude that from the result of our observation that final grades do not match this grading guidelines.
It means the grading guidelines was exceeded in terms of As, was less in terms of Bs and was higher in terms of Cs i e the grading guidelines was not consistent with what was stated in the null.
The generic equation of a third degree polynomial is given by:
y = ax ^ 3 + bx ^ 2 + cx + d
We must make a system of equations to find the values of a, b, c, d.
We have then:
For (1, 3):
3 = a (1) ^ 3 + b (1) ^ 2 + c (1) + d
3 = a + b + c + d
For (2, -2):
-2 = a (2) ^ 3 + b (2) ^ 2 + c (2) + d
-2 = 8a + 4b + 2c + d
For (3, -5):
-5 = a (3) ^ 3 + b (3) ^ 2 + c (3) + d
-5 = 27a + 9b + 3c + d
For (4.0):
0 = a (4) ^ 3 + b (4) ^ 2 + c (4) + d
0 = 64a + 16b + 4c + d
We obtain the following system of equations:
3 = a + b + c + d
-2 = 8a + 4b + 2c + d
-5 = 27a + 9b + 3c + d
0 = 64a + 16b + 4c + d
Whose solution is:
a = 1
b = -5
c = 3
d = 4
The polynomial will then be:
y = x ^ 3 - 5x ^ 2 + 3x + 4
Answer:
y = x ^ 3 - 5x ^ 2 + 3x + 4