Answer:
A prime number is a number that can be divided only by 1 and itself. This means that the number has exactly two factors. For example, 13 is a prime number because 13 can only be divided evenly by 1 and 13. If the number has more than two factors, we say that the number is composite.
Step-by-step explanation:
Answer:
and 
and 
Step-by-step explanation:
Domain is the set of input values or x-values.
Range is the set of output values or y-values.
According to the relation mapping diagram, the relation is
So,
In the graph 5 points are plotted. So, the relation is
So,
<span>5.1 </span> Find the Vertex of <span>y = x2-2x-15
</span>Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).<span>
</span>Each
parabola has a vertical line of symmetry that passes through its
vertex. Because of this symmetry, the line of symmetry would, for
example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.<span>
</span>Parabolas
can model many real life situations, such as the height above ground,
of an object thrown upward, after some period of time. The vertex of the
parabola can provide us with information, such as the maximum height
that object, thrown upwards, can reach. For this reason we want to be
able to find the coordinates of the vertex.<span>
</span>For any parabola,<span>Ax2+Bx+C,</span>the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 1.0000 <span>
</span>Plugging into the parabola formula 1.0000 for x we can calculate the y -coordinate :<span>
</span><span> y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 15.0
</span> or <span> y = -16.000</span>
I believe the answer would be (-3,-5).
Place the equations on top of each other and figure out how to cancel out one of the digits to get your answer. Try canceling out 2x. Multiply the entire equation y=x+3 by -2 to contradict the second equation. y=x(-2)+3(-2) then you'd get y=-2x-6. -2x-6 above 2x+1, solve. -2 and 2 cancel out so you're left with -6+1, therefore, y=5. Now that you have your y, you must solve for x. Using substitution to solve the equation (I picked 2x+1) you'd get -5=2x+1. Subtract 1 on both sides. +1-1=0 so that cancels out. -5-1=-6 and you're left with -6=2x. So you subtract 2 on both sides because 2 has the variable, and you are left with x=-3. Therefore, the answer is (-3,-5).
