Answer:
infinitely many
Step-by-step explanation:
12x + 1 = 3(4x + 1) - 2
Distribute
12x + 1 = 12x + 3 - 2
Combine like terms
12x+1 = 12x +1
Subtract 12x from each side
1 =1
Since this is always true, we have infinite solutions
Answer:
Option C
Step-by-step explanation:
2 pentagons and 5 rectangles are needed to build this pentagonal prism!
Answer:
y=3x-4
Step-by-step explanation:
Answer:
55 degrees and 125 degrees
Step-by-step explanation:
Supplementary means that they add up to 180.
x + y = 180
Let's let x be the larger angle.
x = 15 + 2y
The above equation comes from the information given, that it's 15 more than twice the smaller angle.
Now let's use substitution.
x + y = 180
(15 + 2y) + y = 180
15 + 3y = 180
3y = 165
y = 55
The smaller angle is 55. Plug this back in to the first equation to get x.
x + y = 180
x + 55 = 180
x = 125
Now that you have both, test them again just to be sure that they fit the given conditions.
Answer:
C. (-3, 2, -1)
Step-by-step explanation:
There are two types of matrices. One is REF and the other is what makes REF simpler--RREF. We use RREF to solve for REF because it makes the solution easy to find. RREF is displayed in your problem... it means that it's already solved, so the answers are already given on the right side, which is -3,2,-1. This only works with the combination provided (with the 0s and 1s). Otherwise, you'd have to solve.