Answer:
x=3
Step-by-step explanation:
Use pemdas!
First use distributive property to get rid of the parenthesis, by multiplying 2 by 3x and -4. Then combine like terms and use inverse operations to simplify each side until you get it down to just x! Hope this helped! :)
Answer:
Approximately 7.8 units
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:

From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.
B is (-5,6). Let's let this be x₂ and y₂. So, substitute:

Simplify:

Square:

Add:

Take the square root. Use a calculator:

So, the distance between them is about 7.8 units.
And we're done!
Answer:
y=x+8
Step-by-step explanation:
y=x+b
That is the equation with only the slope, however, we can use the point (-4,4) to find the y-intercept
4=-4+b
Add 4 both sides:
8=b
Thus the equation is y=x+8
Hope this helps!
Answer:
It should look like a v with the origin at +0.5
Step-by-step explanation:
Answer:
Allison worked 6 hours lifeguarding and 3 hours washing cars.
Step-by-step explanation:
Let
Number of hours Allison worked lifeguarding last week = x
Number of hours Allison worked washing cars last week = y
1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then

<u>Lifeguarding:</u>
$12 per hour
$12x in x hours.
<u>Washing cars:</u>
$8 pere hour
$8y in y hours.
2. Allison earned a total of $96, hence

You get the system of two equations:

Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.