Answer:
(2,-3)
Step-by-step explanation:
I used substitution and rearranged the second equation to y=-2x+1. Then I replaced the y in the first equation with -2x+1. So, I got 3x-5(-2x+1)=21. When you solve that you get 13x=26 or x=2. Then you replace x with 2 in either equation and end up with y=-3.
Answer:
B) -7m - 8 = m - 4
D) m - 4 = -7m - 8
E) -8 - 7m = -4 + m
Step-by-step explanation:
Solve all of the equations to see if they end up with the same result. Start with the original:
-2m - 5m - 8 = 3 + (-7) + m
-7m - 8 = -4 + m (now we know B and D and E are correct)
-7m - m - 8 = -4 + m - m
-8m - 8 = -4
-8m - 8 + 8= -4 + 8
-8m = 4
A isn't true because 513 is at least divisible by 3, so it's not a prime number.
C isn't true because all whole numbers are either prime or composite.
D isn't true because it is neither a imaginary number, fraction, decimal, or unreal number, so therefore it must be a whole number.
B is true, because it is able to be divided by numbers other than one and itself.
Answer:
The function machine metaphor helps explain the definition and properties of a function. ... One tool for understanding functions is the function machine metaphor. Once you ... We can imagine it is some machine that does this transformation.
Step-by-step explanation:
https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:symmetry/v/function-symmetry
this might help you.
Answer:
Yes
Step-by-step explanation:
As long as the slopes of these two lines are not the same, they will intersect.
Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.
Slope of 1st line: 
Slope of 2nd line: 
The slopes are not equal, therefore the lines intersect.