Answer:
The vertex is (0, -5) and the axis of symmetry is x = 0.
Step-by-step explanation:
In order to find the axis of symmetry, we look for the x value of the vertex. We can find this using the equation -b/2a, in which a is equal to the coefficient of the x^2 term and b is the coefficient of the x term.
x = -b/2a
x = 0/2(1)
x = 0/2
x = 0
So the axis of symmetry is 0 as is the x value of the vertex. Now we can find the y value by plugging in the x value into the equation.
f(x) = x^2 - 5
f(x) = 0^2 - 5
f(x) = 0 -5
f(x) = -5
This gives us a vertex of (0,-5)
Answer:
16
Step-by-step explanation:
the numbers are divided by 4 to form a sequence so 64 divided by 4 is 16
Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.
What is a linear function?
- A linear function is modeled by:

In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Rowan, we have that:
- He has already read 20 pages, hence the y-intercept is
.
- He reads 1.5 pages per minute, hence the slope is

Then:

For Kennedy, we have that:
- He has already read 25 pages, hence the y-intercept is
.
- He reads 1 page per minute, hence the slope is

Then:

They will have read the same number of pages after x minutes, for which:

Then:




To learn more about linear function, you can take a look at brainly.com/question/25823744
Answer:
The width of the football field is 160 feet.
The length of the football field is 360 feet.
Step-by-step explanation:
Let w represent width of the football field.
We have been given that the length is 200 ft more than the width, so the length of the field would be
.
We are also told that the perimeter is 1,040 ft. We know that football field is in form of rectangle, so perimeter of field would be 1 times the sum of length and width. We can represent this information in an equation as:

Let us solve for w.






Therefore, the width of the football field is 160 feet.
Upon substituting
in expression
, we will get length of field as:

Therefore, the length of the football field is 360 feet.