Answer:
We conclude that the two rations do not form a proportion.
Hence, the correct answer is 'N0'.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
Here, k is called the constant of proportionality.
In our case,
Given the ratios
30/24 and 42/35
Checking 30/24
k = 30/24
k = 15/12
k = 5/4
Checking 42/35
k = 42/35
k = 6/5
It is clear that
5/4 ≠ 6/5
so
30/24 ≠ 42/35
It means the constant of proportionality 'k' is not the same. Thus, the ratios do not form a proportion.
Therefore, we conclude that the two rations do not form a proportion.
Hence, the correct answer is 'N0'.
Answer:
y=3
Step-by-step explanation:
Divide top and bottom by 2= 7/1
Multiply top and bottom by 3. 21/3
Multiply top and bottom by 4 = 28/4
This would be easy if you made more sense out of the question.
Answer:
smaller (t) = 2 and this in coordinates form (2,0)
larger (t) = 15 and this in coordinates form (15,0)
the vertex of the parabola = 
or in decimals (8.5, 42.25)
Step-by-step explanation:
- For the zeros of the function take each bracket and make it equal to zero.
SMALLER (t):
(t-2)=0
(add 2 for both sides)
t=2
LARGER (t):
(t-15)=0
(add 15 for both sides)
t=15
- For the vertex of the parabola you do:
step1: expand the brackets:
f(t)=-(t-2)(t-15)
f(t)= 
step2: define a,b and c using the expression 
:
a= -1 (the coefficient of 
)
b= 17 (the coefficient of t)
c= -30 (the single number without a letter)
step3: sub the values in the formula 
to find the x coordinate of the vertex :
= 
= 
or in decimals 8.5
step4: sub the value of t (the x-coordinate) in equation f(t):
f(t)=
f ( ) = - 
+ 17× - 30
= 
+ 
-30
=
or in decimals 42.25
(THIS IS A PICTURE OF THE GRAPH↓)
