I think so if its not im srry
Answer:
192- -6 + -12y
Step-by-step explanation:
<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>
to find the equation of a linear equation given two points:
1) find the slope y=mx+b
here's the equation: (y2-y1)/(x2-x1)
y2- y value of the 2nd point y1- y value of 1st point
x2- x value of 2nd point x1- x value of 1st point
1st point- (0, 12) 2nd point- (1,3)
so your slope equation is this: (3-12) / (1-0) or -9/1 or -9
m is -9
2) find the y intercept y=mx+b
b is whatever y is when x is 0. There's a long way to find it, but you already have it, because one of your points is (0,12). They told you what y was when x was 0.
b is 12.
your linear equation is y=-9x+12
to find the equation of an exponential equation given two points:
1) find a y=a(b)<span>×
</span>if one of your points has a 0 as the x value, the y value is a. you do have a point like this: (0,12) so...
<span>a is 12
</span>2) find b y=a(b)<span>×
put what you know a is in the equation: y=12(b)</span><span>×
then put the x and y values of the other point in for x and y in the equation
so (1,3) 1 is x and 3 is y
3=12(b)^1
when the exponent is 1, it disappears:
3=12b
simplify: b= 3/12 or b=1/4
then put all that in the equation:
y=12(3/4)</span><span>×</span>
Answer:
10 shirts
Step-by-step explanation:
We can use a ratio to solve
50 dollars 125 dollars
-------------------- = -------------------
4 shirts x shirts
Using cross products
50 *x = 4 * 125
50x = 500
Divide each side by 50
50x/50 = 500/50
x = 10