Answer:
x = gym memberships, and y = bottles of water
30x + 7y = 1050.....when x = 28
30(28) + 7y = 1050
840 + 7y = 1050
7y = 1050 - 840
7y = 210
y = 210/7
y = 30....so he would have to sell 30 water bottles
Step-by-step explanation:
The area of the region = area of the two rectangles = 64 units².
<h3>How to Find the Area of Rectangles?</h3>
A rectangle has a length and a width, and its area can be calculated using the formula below:
area of rectangle = (length)(width).
The region shown is composed of two rectangles. To find the area of the region, calculate the area of each of the rectangles in the image given.
Area of rectangle 1 = (length)(width)
Length = 12 units
Width = 4 units
Area of rectangle 1 = (12)(4)
Area of rectangle 1 = 48 units²
Area of rectangle 2 = (length)(width)
Length = 4 units
Width = 4 units
Area of rectangle 2 = (4)(4)
Area of rectangle 2 = 16 units²
The area of the region = area of the two rectangles = 48 + 16 = 64 units²
Learn more about the area of rectangle on:
brainly.com/question/25292087
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4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!
(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]
10 - 5 5
--------- = ----- = 1
-3-(-8) 5
Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b
Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]
y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY
So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13
y=1x+13 is our final answer.
5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)
We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1
Good! Now we take our given point, (9, -4) and plug it into the new equation:
y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY
So, our final answer is y=-1/3x+(-1)
6) I don't know, sorry! :(
That would be = -p^2+4p+4
