30 + x0.15=y is the first equation
15+x0.20=y is the second equation
Where in both x equals the amount of days it takes and y is your out come
You can solve this problem two ways one by finding the common denominator or just multiply x until you get the same awnser between the both of them
1) -3(5x+2y=-3)⇒ -15x-6y=9
⇒ -9x=27
2(3x+3y=9)⇒ 6x+6y=18
2) -9x/-9=27/-9 ⇒ x=-3
3) 3(-3)+3y=9⇒ -9+9+3y=9+9⇒ 3y/3=18/3⇒ y=6
Answer: (-3,6)
Reasoning:
Step 1) In order to eliminate, first I had to multiple the first equation by -3 and the second by 2 so that when combining the equations y would cancel each other out so that I could solve for x. <em>Note: There are many combinations as to how you could multiple the equations so that either the x or y would cancel out.
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Step 2) Once y is eliminated, solve for x.
Step 3) Now plug x back into one of the original equations and solve for y. <em>Note: Plug x back into one of the original equations, not the equations that were changed by multiplication,</em>
Answer:
Domain: [-3, 1]
Step-by-step explanation:
Doman is the set of x-values that can be inputted into function f(x).
We see that our x-values span from -3 to 1. Since both have no holes, they are included in our domain:
[-3, 1] or -3 ≤ x ≤ 1
Answer:
Mass of A = 5760 grams
Step-by-step explanation:
Surface area is given, so we can set-up a similarity equation to solve for k, proportionality constant. Here, we will relate both of them through k^2, because they are 2 dimensional (area). Thus
Surface Area of A = k^2 * Surface Area of B
28 = k^2 * 40.32
k^2 = 28/40.32
k^2 = 25/36
k = Sqrt (25/36)
k = 5/6
Now, we want to find mass (1 dimensional quantity), thus we can say:
Mass of A = k * Mass of B
Mass of A = (5/6) * (6912)
Mass of A = 5760 grams
Answer:
Part A:
- angle ACB= 60° (ABC equilateral triangle.)
- Angle ECD=EDC= (180°-32°)/2= 148/2= 74° (sum of angles in a triangle is equal to 180, and triangle ECD is isosceles since it's given that CE=DE.
- x= 180°-(60°+74°)
= 180°-134°
= 46°
x= 46°
Part B:
120°
