The greatest number of tickets she can buy is 6 tickets
Answer is –4/5
Rearrange the equation to make y the subject
5y = –4x – 35
y = –4/5 x – 7
If the line is parallel to the other line, they both have the same gradients but different y-intercepts, so the gradient is just as is.
Answer:
D.
Step-by-step explanation:
The number which multiplies x is the slope of the graph so 13x becoming 3x means the slope of the graph will change.
Answer: 6 years old.
Step-by-step explanation:
For this exercise let "x" represents your present age.
According to the information provided in the exercise, you know that In three years, Chad will be three times your present age.
Then, your age in three years can be represented with the following expression:
Knowing at that time Chad's age will be three times yours and you will be half as old as old as Chad, you can write the following equation to represent this situation:
Therefore, the final step is to solve for "x" in order to find its value.
You get that this is:
Answer:
Step-by-step explanation:
Given function is,
f(x) = -4(x - 3)² + 1
A). Negative sign of the coefficient (-4) tells that the parabola opens downwards.
And 4 represents that the parent function is stretched vertically by 4 units.
B). By comparing this equation with the vertex form of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of parabola.
Vertex of the given parabola → (3, 1)
C). Axis of symmetry → x = 3
D). Domain of the given quadratic function → (-∞, ∞)
Range of the given function → (-∞, 1)
