Answer:
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
Step-by-step explanation:
1. Regroup terms.
![4x - 1 = 3x + 3](https://tex.z-dn.net/?f=4x%20%20-%201%20%3D%203x%20%2B%203)
2. Add 1 to both sides.
![4x = 3x + 3 + 1](https://tex.z-dn.net/?f=4x%20%3D%203x%20%2B%203%20%2B%201)
3. Simplify 3x + 3 + 1 to 3x + 4.
![4x = 3x + 4](https://tex.z-dn.net/?f=4x%20%3D%203x%20%2B%204)
4. Subtrect 3x from both sides.
![4x - 3x = 4](https://tex.z-dn.net/?f=4x%20-%203x%20%3D%204)
5. Simplify 4x - 3x to x.
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
Therefor, the answer is, x = 4.
<h2>
Answer:</h2>
y =
x + 3
<h2>
Step-by-step explanation:</h2>
As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c <em>or </em>-------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope <em>m</em> given by;
m = ![\frac{y_2 - y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2-x_1%7D)
m = ![\frac{-2-3}{4-0}](https://tex.z-dn.net/?f=%5Cfrac%7B-2-3%7D%7B4-0%7D)
m = ![\frac{-5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-5%7D%7B4%7D)
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m =
into equation (ii) as follows;
y - 3 =
(x - 0)
(iv) Solve for y from (iii)
y - 3 =
x
y =
x + 3 [This is the slope intercept form of the line]
Where the slope is
and the intercept is 3
Answer:
Step-by-step explanation:
First you want to understand that every time a radio wave goes 300,000,000 meters a second passes, literally what meter per second means. of course it doesn't go that far, it goes 384,000 one way and then the same distance back, which makes 768,000. Under a third of the distance to make 1 second, so it will be less than one second.
You also want to understand the formula for speed. speed = distance / time. Whch also means, to find time you can change it to be time = distance / speed. And hey, we have distance and speed. 768,000 / 300,000,000 = .00256, I'll leave the significant figures to you unless you need help with them. but that's .00256 of a second. or .00256 s