Answer:
c = 
Step-by-step explanation:
To make a perfect square
add ( half the coefficient of the x- term )² to x² + 5x
x² + 5x + (
)²
= x² + 5x +
= (x + )² ← a perfect square
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx
so
we have
a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50
b) for x=2 y=1--------> y/x=1/2-------> 0.50
c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50
d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50
the value of k is equal to 0.50
so
<span>the relationship forms a direct variation. </span>
the equation is
y=0.50*x
Verify
for x=1
y=0.50*(1)------> y=0.50-----> is correct
for x=2
y=0.50*(2)------> y=1.00-----> is correct
for x=3
y=0.50*(3)------> y=1.50-----> is correct
for x=5
y=0.50*(5)------> y=2.50-----> is correct
The original price was £320 before the 40% sale price
Answer:
See below
Step-by-step explanation:
<u>Given function:</u>
m represents the domain and D represents the range of the function, therefore m = x, D = y
<u>Filling in the table:</u>
- for x = 10, y = 35 + 0.4*10 = 35 + 4 = 39 and so on for the rest of the values
- x = 10, 30, 50, 75, 100
- y = 39, 47, 55, 65, 75
The factors are 3 6 and 9
