Explanation
when you know the slope and a passing point of the line, you can find the equation of the line by replacing in the slope-point equation ,it is given by:
then
Step 1
a)Let
now,replace and solve for y
therefore, the answer is
I hope this helps you
Step-by-step explanation:
does this mean the sale price includes the tax already ?
then we need to find 13% of the original price before taxes.
that would be done by saying that $101.94 are actuality 113% of the original price (original price = 100%, and then 13% are added).
101.94 = 113%
1% = 101.94/113
13% = 101.94 × 13/113 ≈ $11.73
that means it of the total sales price of $101.94, $11.73 would be the included taxes.
but if this means that 101.94 = 100% of the original price before taxes, we need to calculate the 13% based on that
101.94 = 100%
1% = 101.94/100
13% = 101.94 × 13/100 ≈ $13.25
and then the total price to be paid is
101.94 + 13.25 = $115.19
The angle on a line is 180°
The sum of the three given angles is 180°:
Use this equation to find the value of x:
Then, the value of x is 25
The Romans no longer feared him after his death in 453.
Let the year be represented by = x
So, inequality becomes -
453<x ; x will be smaller than 453 because Hun was dead in 453. So 453 and any number smaller than that would be the times in his life that he would have been feared.
<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>
