You haven't shared the given line, so all I can do here is to invent a line and then show you how to write the equation of a new line which is parallel to mine and which has an x-intercept of 4.
My invented line: y = (2/3)x + 3
The new line MUST have the same slope: m = 2/3.
Then y = mx + b becomes y = (2/3)x + b. Find the x-intercept by setting y = 0 and solving for x: (2/3)x = 0 - b. Now replace x with 4 and find b:
-b = (2/3)(4) = 8/3. Then b = -8/3, and the new line is
y = (2/3)x - 8/3.
42
let the smallest even number be x, than the four even numbers are x, x+2, x+4, x+6, their sum is 180
x+x+2+x+4+x+6=180
4x+12=180
4x=168
x=42
the smallest even number is 42.
Answer:
The value of x = 2
Step-by-step explanation:
Given the equation
- Expand 12(x-2) = 12x - 24
- Expand 1/2(x+6) = 1/2x + 3
so the equation becomes
simplifying
multiplying both sides by 2
subtracting x from both sides
divide both sides by 29
simplifying
Therefore, the value of x = 2
Answer:
$793
Step-by-step explanation:
The amount of money in an account earning simple interest is given by the formula ...
A = P(1 +rt)
where P is the principal invested at rate r for t years.
__
Using the values given in the problem statement, the account balance can be found to be ...
A = $650(1 +0.055×4) = $650×1.22 = $793
There will be $793 in the account after 4 years.
