y=2x+5
2(2x+5)+4x=10
4x+10+4x=10
8x=20
So there's one solution, x=2.5
Answer:
True
Step-by-step explanation:
To find true or false
Using the properties of logarithms, the left side of the given equation .logb b^2r=2r
, is equivalent to logb b^2r = 2x logb b
(use Power Rule)
=2x(1)
=2x
Hence, the given statement is a true statement.
Answer:
Before we graph 
we know that the slope, mx, could be read as 
. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.
For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable 
does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.
A) This is a repeating decimal which means it is possible to write it in the form p/q where p & q are integers and q is nonzero. So we can rule out choice A.
B) Similar to the answer choice above, we have another repeating decimal. So we can rule out choice B.
C) This is a terminating decimal. It does not go on forever. We can write this as a fraction (0.7 = 7/10). So we can rule out choice C.
D) This is also terminating so it seems like your teacher made a typo. What I'm thinking is that the 3.14 was meant to be a decimal that goes on forever without a pattern. This is a well known number called pi. I'm assuming that's what your teacher was going for.
So I'd go with choice D as the answer.
