Answer:
Step-by-step explanation:
y = kx represents a proportional relationship between x and y
where,
k is the constant of proportionality
Given:
d = st
Where,
d = distance
s = speed
t = time
The constant of proportionality of the quantities d, s and t is speed(s)
Speed(s) remains constant at a given time and distance
The equation can be written in different forms below:
d = st
S = d/t
t = d/s
Real world example of proportional relationships
• F=ma
Where,
F=Force
m=mass
a=acceleration
F=ma is used to calculate force
Answer:
y = -4
Step-by-step explanation:
Solve the following system:
{4 x + 5 y = -12 | (equation 1)
3 y - 2 x = -16 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{4 x + 5 y = -12 | (equation 1)
0 x+(11 y)/2 = -22 | (equation 2)
Multiply equation 2 by 2/11:
{4 x + 5 y = -12 | (equation 1)
0 x+y = -4 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{4 x+0 y = 8 | (equation 1)
0 x+y = -4 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 2 | (equation 1)
0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = 2
, y = -4
Answer:
5
Step-by-step explanation:
Answer: Third Option
Step-by-step explanation:
We have the following exponential equation
We must solve the equation for the variable x
To clear the variable x apply the 
function on both sides of the equation
Simplifying we get the following:
To simplify the expression 
we apply the base change property
This means that:
Then:
An expression for that would be s + 0.05s, or 1.05s.
