Answer:
x=45
Step-by-step explanation:
add (3x-9)+30+24=180
subtract 30 and 24 from both sides
(3x-9) = 126
+9 on both sides
3x=135
divide by 3 on both sides
x=45
Answer: 11.2 pounds is the max weight of the package he can have.
Step-by-step explanation: $20 - $6 is $14. $14 divided by 1.25 is 11.2.
Answer:
We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.
y - 4 = -5(x + 1)
y - 4 = -5x -5
y - 4 + 4 = -5x - 5 + 4
y = -5x - 1
Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Solving (a):
We have:
Express f(x) as y
Swap x and y
Add 8 to
Square both sides
Rewrite as:
Express y as:
To determine the domain, we have:
The original function is
The range of this is:
The of the function is the of the function.
<em>Hence, the domain is:</em>