Answer:
52
Step-by-step explanation:
1st term is =60-8=52
a2=60-16=44
a3=60-24=36
a4=60-32=28
a5=60-40=20
a6=60-48=12
....
sI the terms are 52,44,36,28, 20,12,4,-4,-12....
so the largest term is 52
Answer:
Calculating the distance travelled
Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.
Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.
½ × base × height.
½ × 6 × 2 = 12 m 2
(10 – 6) × 2 = 8 m 2
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
Answer:
2/3, 3/4, 5/6, 7/8, 8/9, 9/10, etc.
Step-by-step explanation:
1/2 is smaller than 1/3, which is smaller than 3/4, which is in turn smaller than 5/6, and so on.
For this case we have the following vertices:
D = (- 1, -1)
E = (1, -1)
F = (- 1, -6)
Then, the vertices after the transformation are:
D '= (- 1, 1)
E '= (1,1)
F '= (- 1,6)
The x coordinate remains the same
The y coordinate change sign.
Therefore, the transformation is:
Reflection on the x axis.
Answer:
Reflection on the x axis.
option 1
