Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute
in (i).


Putting
in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute
in (ii).

Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute
in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get




Putting
in (iv), we get



Putting
in (ii), we get
Therefore, the required quadratic equation is
.
Answer:
f(x+2)=3x+10
Explanation:
f(x+2) means replace all the xs with (x+2)
f(x)=3x+4
f(x+2)=3(x+2)+4
Now simplify
f(x+2)=3x+6+4
f(x+2)=3x+10
Answer:
R=0.25
Step-by-step explanation:
Y=RX
2=R×8
2/8=8R/8
R=0.25
Answer:
So we know the total is 34
B to C will be 15 so that's around half the total
So let's subtract the given part from the total
34 = 15 = 19
AB = 19
True.
The diameter is the axis of symmetry of a circle.
The diameter divides the circle into two equal parts. Therefore, it can be considered an axis of symmetry. Everything on the right of the diameter is the same as everything on the left of the diameter.
answer
True.