Answer:
104 pictures
Step-by-step explanation:
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:
B. This relationship represents a function because no length of ribbon has more than one price.
Step-by-step explanation:
A relation is considered as a function when there is exactly just one possible range value that any of the domain value can give. In order words, each domain value of a function cannot have more than one range value.
In the given table of values representing the length and price of ribbon, the domain includes all the set of lengths of the ribbon while the range is the set of the corresponding prices the lengths can cost.
Thus, each length given has exactly just one price. No particular length has more than one price. Therefore, we can consider this as a function.
Answer:
The correct option is 70
Step-by-step explanation:
It is a right triangle so we will use Pythagorean theorem to find AB:
We have One side = 24 and hypotenuse = 24+50 which is 74
Now apply Pythagorean theorem:
AB = √(74)²-(24)²
AB = √5476-576
AB= √4900
Take the square root of 4900.
AB= 70
Thus the correct option is 70....