Answer:
C) The parabola is narrower and reflected across the x-axis.
Step-by-step explanation:
The original parabola has equation:
The transformed parabola has equation
How wide the graph is can be determined by the absolute value of the coefficient.
The smaller the absolute value of the coefficient, the wider the graph.
Since
The original graph is wider than the transformed graph.
Also the negative factor tells us there is a reflection in the x-axis.
Answer:
B.a=b, c≠0
C.a=b, c=0
D.a-b=1, c≠1
Step-by-step explanation:
The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x
Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.
A
a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0
B
a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.
C
This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.
D
Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.
E
Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.
<em>From the above, the answer to the question is choices </em><em>B, C, and D</em>
5 + -6m + mX,
If you like, I can explain a bit more!
If Car A's speed is x, then Car B's speed is x-22. Using the formula, we get that the distance is the same in both, so 4*(x-22)=D and 2.4*x=D due to that we plug 2.4 and 4 in for T and x-22 and x for R. Since they both equal D, we can write it as 2.4*x=4*(x-22). Using the distributive property, we get 4*(x-22)=4x-88=2.4*x. Subtracting 2.4*x from both sides as well as adding 88, we get 1.6*x=88. Dividing both sides by 1.6, we get 88/1.6=55= x=Car A's speed
