Answer:
The equation of the line that is passing through the point (5,4) and is parallel to x-axis would be 
Step-by-step explanation:
Given that the line passes through the point (5,4).
As the line is parallel to the x-axis, the slope of the line would be zero.
And we have point (5,4) from which the line is passing.
So, 
The equation of the line passing through point
is

So, the equation of the line that is passing through the point (5,4) and is parallel to x-axis would be 
Answer:
£210
Step-by-step explanation:
A decrease of 30% represents 70% of the original cost.
100% represents the original cost
Divide the price by 70 to find 1% then multiply by 100 for original cost
original cost =
× 100 = 2.1 × 100 = £210
Answer: x=-2 y=2
Step-by-step explanation:
I decided that isolating the y value of the second equation is the best way to start solving.
I divide 3 from both sides to get y= (4-x)/3. With this, I can substitute into the first equation. 4x+3(4-x)/3)=-2.
The multiplying the 3 by the denominator three cancels each other out to make:
4x+4-x=-2.
We subtract 4 on both sides and then subtract x from 4x.
We end up with 3x=-6. Then, we divide both sides by 3.
x=-2.
Now we substitute this into the second equation to solve.
3y=4-(-2)
This becomes 3y=4+2 which is 3y=6
We divide both sides by 3 to get y=2
We end up with x=-2 and y=2.
I hope you learned something :)
Answer:
The average rate of change is -3.
Step-by-step explanation:
Given : Function
over the interval 2 ≤ x ≤ 4.
To find : What is the average rate of change ?
Solution :
Function
over [2,4]
The rate of change is the slope of the line,
So, 






Substitute,



Therefore, The average rate of change is -3.