Answer:
1. 5x+10y=35 x= 5 y= 1
2. 2x+12y=30 x= 3 y= 2
Step-by-step explanation:
1. 5x+10y
10+5=15; 15-10=5; x=5
10/5=2; 2/2=1; y=1
5(5)=25
10(1)= 10
25+10= 35
YAY!
2. 2x+12y
12/2=6; 6/2=3; x=3
12/6=2; y=2
2(3)=6
12(2)=24
24+6= 30
YAY!
Answer:
Step-by-step explanation:
6) the answer is option b
y = - x + 3
x - y = 1
From the graph, the point at which the lines of the two equations meet is the solution to the system of equations
The points = x = 2 and y = 1
If you substitute these values in option b, it satisfies the equations.
7) the correct option is d
-x + y = -3 - - - - - - -1
2x -y = 6 - - - - - - 2
If we solve using elimination method,
Multiply equation 1 by 2 and equation 2 by 1
-2x + 2y = -6
2x -y = 6
Adding both equations
y = 0 and substituting y = 0 in equation 2,
x = 3
So y = 0 and x = 3
So it has only one solution
8) The lines of the two equations meet at a point where x = 3 and y = 0
Option d is the correct answer
-x +y = -3
2x - y = 6
Substituting x = 3 and y = 0 in option d,
- 3 + 0 = -3
6 - 0 = 6
9) y = x-2
x = 17-4y
Substituting y = x - 2 in x = 17 - 4y, we have
x = 17 -4(x - 2)
Opening the bracket
x = 17 - 4x + 8
x + 4x = 17 + 8
5x = 25
x = 25/5 = 5
50 : 45
10 : 9 (10 yellow : 9 red)
The answer is number 2
Since it has a negative exponent, the equation is showing exponential decay. The graph will decrease. In order to find the percent of change, we need to review our exponent properties. The product property tells us that when we raise a power to a power, we multiply the exponents. This means we can view our exponent of -2x as the product of two exponents, -2 and x. This would look like. We know that negative number exponents tell us to "flip" sides of the fraction, so that tells us that 4⁻² = 1/4² = 1/16. We can then rewrite our equation as
Exponential decay is in the form y = a(1-b)ˣ. From our equation, a = 1. We know that 1-b = 1/16; this means that b must be 15/16. Thus our percent of decrease would be 15/16 = 0.9375 = 93.75%.
Answer:
The final simplified form would be 6p^2 + 7m
Step-by-step explanation:
In order to find this, we need to start by putting all the like terms together. First, put all the p^2 terms together.
4p^2 + 2p^2 = 6p^2
Then we do the same thing with the m terms.
5m - m + 3m = 7m
Then for the end result, we just put the two terms together.
6p^2 + 7m