Answer:
<h3>the horizontal value in a pair of coordinates: how far along the point is. the x coordinate is always written first in an ordered pair of coordinates (x,y) such as (12,5). in this example, the value "12" is the x coordinate. also called abscissa</h3>
Step-by-step explanation:
i hope it helps :)
Answer:
See explanation
Step-by-step explanation:
1. R is the set of all integers with absolute value less than 10, thus
2. A is its subset containing all natural numbers less than 10, thus
3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:
Thus,
See the diagram in attached diagram.
Note that
If it has no real solutions, that means the graph does not intersect the x axis
since we have ax^2+bx+c=0, the parabola opens either up or down
since the vertex is in the second quadrant (x is negative and y is positive in this reigon) and the graph does not cross the x axis, the parabola must open up
if the value of 'a' is positive, then the parabola opens up
so 'a' must be positive
if it is translated to the 4th quadrant, then the vertex is now below the x axis
it will now have 2 x intercepts because the vertex is in the 4th quadrant and look at a graph of a parabola opening up with vertex in 4th quadrant and seehow many time it crosses the x axis
Answer:
-1/4
Step-by-step explanation:
if you convert 3/4 to decimals it would be 0.75. and 0.75 - 1.00 = 0.25. -0.25 is equal to -1/4.
Answer:
Slope: 2
Step-by-step explanation:
The slope of a line is when x increases by an amount, y increases by an amount. We can find the slope of a linear graph by taking 2 points. I will use (0,3) and (-1,1)
We see that the y-values are 4 from each other, and that the x-values are 2 from each other.
Now, we can use a method called rise over run, which is y-value/x-value.
Therefore, the slope is 2.
