For this case we must indicate the value of the following expression, expressed in scientific notation:
We have that for multiplication properties of powers of the same base, the same base is placed and the exponents are added:
Then, rewriting the expression we have:
Answer:
Answer:
We have the slope-intercept form of a straight line given by y = mx + b, where m is the slope and b is the y-intercept.
Now, when the slope m is positive, the straight line will slant upward towards the right and when the slope m is negative, the line will slant downwards to the right.
Moreover, the more positive or negative the slope is, the steeper the slant of the corresponding line will be.
The change can be seen in figure 1 below where the slope is changing as 2. 4 and -5.
Further, when the y-intercept b is positive, the line will cross the y-axis above the line y=0 and when the y-intercept b is negative, the line will cross y-axis below y=0.
Moreover, the change in y-intercept will shift the graph of the line in left or right direction.
The shift can be seen below in the second figure, where y-intercept changes from 3, 4 and -5.
Answer:
x = 5 , y = 2
Step-by-step explanation:
5x + 2y = 29 ....................(1)
x + 4y = 13 Multiply this equation by -5:-
-5x - 20y = -65.................(2)
Add equations (1) and (2):-
-18y = -36
y = 2
Substitute for y in equation (1):-
5x + 2(2) = 29
5x = 25
x = 5
Check the results in the second equation:-
x + 4y = 13
5 + 4(2) = 13 - It checks out.
Answer:
C) 2/9
Step-by-step explanation:
There are 9 total marbles in the bag and 2 are yellow.
Probability = (number of desired outcomes)/(number of total outcomes)
Here the desired outcome is pulling a yellow marble, there are 2 ways we can do that since there are 2 yellow marbles.
The total number of outcomes is 9 since there are 9 total marbles in the bag
Our fraction is 2/9