Answer:
infinitely many solutions
Step-by-step explanation:
1) distribute 9 to each term inside parenthesis on left side of equation
18x+90=2(9x+45)
2)now distribute 2
18x+90=18x+90
these equations are exactly the same! this means that this equation has infinitely many solutions
Hope this helps!
Answer:
Choice 1. -3x + 2y = 5.
Step-by-step explanation:
The slope of the line = y2-y1/x2-x1
= (4 - 1) / (1 - (-1))
= 3/2.
To find the equation of the line we use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line. So using m = 3/2 and the point (1, 4):
y - 4 = 3/2(x - 1)
y - 4 = 3/2 x - 3/2
Multiply through by 2:
2y - 8 = 3x - 3
-3x + 2y = -3 + 8
-3x + 2y = 5 (answer).
Answer:
Step 1:
We need to place the numbers in descending order of the power. Here, 
has the largest power, so that number goes first. We keep doing this until we end up with our final expression, placed in order based on the powers.
Step 2:
We can see that the last three numbers, 17, -7, and 6, don't have variables or powers, so we simplify by adding (and subtracting) them.
Our final equation:
Answer:
The Statement D⊆B is False.
Step-by-step explanation:
Given:
A = {1, 3, 5, 7 }
B = {5, 6, 7, 8}
C = {5, 8}
D = {2, 5, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8}
To Check:
D⊆B = True or False
Solution:
The sign '⊆' symbolize SUBSET
So D⊆B means D is the Sub Set of B
That means All the element of Set D must be there in the SET of B Then it comes True.
Or else it is False
D = {2, 5, 8}
B = {5, 6, 7, 8}
Therefore D⊆B is a FALSE statement
For it to be TRUE we must have set B as
D = {2, 5, 8}
B = {2,5, 6, 7, 8}
Now D⊆B is a TRUE statement
