When we want to find the roots of a one-variable function, we look for where its graph intersects the x-axis. In this case, the graph intersects the x-axis at
The vertex of a parabola is the highest or lowest point on it, depending on whether the leading coefficient of the quadratic function is negative or positive. In this case, we see that the lowest point is
For the y-intercept, just look for where the graph intersects the y-axis; in this case, that point is
Using this information, the vertex-form equation of the parabola is so the factors are two copies of In this case, the value of in the equation was conveniently 1; if that's not the case, you'll want to plug in to solve for the value of a that gives the correct y-intercept.
Does that help clear things up?
2)
2*120 + 2*3.14*40 = 240 + 251.2 = 491.2;
Answer:
c the answer is c
Step-by-step explanation:
Answer:subtraction property
Step-by-step explanation:
Two a negative and a negative makes a positive so it would be x+6=18 so u do the opposite on both sides so it would be subtraction
Answer:
0≥x<4
Step-by-step explanation:
first, let's look at this number line.
there is a closed circle at 0 and an open circle at 4. this means that 0 is included (≤ or ≥) and that 4 is not included (< or >).
these are the endpoints, meaning that in this compound inequality, the numbers next to the symbols are 0 and 4.
x is in the middle of this compound inequality.
0 x 4
now, we have to figure out the symbols in between. i wrote out our choices above for each number. the highlighted portion is greater than or equal to 0 and less than 4, so we can write this compound inequality as the following:
0≥x<4
x is greater than or equal to 0, but less than 4