Answer:
y=0.3x
Step-by-step explanation:
Formula = 
y α x
y = kx
Where k is the constant of proportionality.
When y = 1.5; x = 5;
We substitute these known values in the equation,
y = kx
1.5 = k5
Dividing both sides of the equation by 5 to find the value for k, we have
1.5/5= k0.3/5
Therefore,
K = 0.3
Having found the value of k,
We substitute this value into the relationship
y = kx
Therefore we have,
y = 0.3x.
The direct variation function is therefore,
y = 0.3x.
[RevyBreeze]
Answer:
The correct option is D.
Step-by-step explanation:
The given expression is

Difference of two squares property:

Using the above property, the given expression can be written as

Applying square we get


Therefore the correct option is D.
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
Answer:

Step-by-step explanation:
Given equation:

Divide both sides by 4:

Subtract 1/4 from both sides:


Simplify:

Answer : B
x^2-9x+14
Lets factor 
We find out two factors whose product is +14 and sum is -9
Two factors are -2 and -7, we split the middle term -9x using -2 and -7

Group first two terms and last two terms
Then factor out GCF from each term



so x-2 is one of the factor