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:
Step-by-step explanation:
equation (1): 
equation (2): y=2x
solve the system by substitution
step1: sub (2x) for y in equation 1:
step2: simplify the expression:
(divide by 2 for both sides)
To find the value for y sub 21/4 for x in equation 2:
y=2x
y=2×(21/4)
3828/4=957 basically you have to put 3828 into 4 groups
Answer:
35%
Step-by-step explanation:
She is saving $0.70/$2.00 weekly.
To convert this into a percentage we covert it to decimal then multiply by 100 :
$0.70/$2.00 = 0.35
0.35 × 100 = 35%
Our final answer is 35%.
Hope this helped and have a good day
This is an exercise you should actually do with real physical objects. The objects don't have to be wood and they don't have to be square for you to be able to arrange them into a rectangular shape. You can cut squares from paper, or use Scrabble™ tiles, poker chips, pennies, M&M™ candies, bottle caps, Legos™, Cheez-It™ crackers, pebbles, or any other objects of similar size and shape.
What you will find is that there are 8 possibilities, corresponding to the number of divisors of 24:
1×24, 2×12, 3×8, 4×6, 6×4, 8×3, 12×2, 24×1
_____
If you make rectangles from numbers of pieces other than 24, you will find that only two rectangles are possible for prime numbers, like 23: 1×23 or 23×1. Even numbers of tiles will all have rectangles of 1×_ and 2×_ (as well as _×1 and _×2).
Doing this sort of playing with physical objects helps you develop number sense that can serve you well later. Don't discount it.
