Answer:
B. 5/6
Step-by-step explanation:
5 divided by 6 equals .8333.
The simple/ <span>common sense method:
</span>The typical lay out of a quadratic equation is ax^2+bx+c
'c' represents where the line crosses the 'y' axis.
The equation is only translated in the 'y' (upwards/downwards) direction, therefore only the 'c' component of the equation is going to change.
A translation upwards of 10 units means that the line will cross the 'y' axis 10 places higher.
9+10=19,
therefore <u>c=19</u>.
The new equation is: <u>y=x^2+19 </u>
<span>
<span>The most complicated/thorough method:
</span></span>This is useful for when the graph is translated both along the 'y' axis and 'x' axis.
ax^2+bx+c
a=1, b=0, c=9
Find the vertex (the highest of lowest point) of f(x).
Use the -b/2a formula to find the 'x' coordinate of your vertex..
x= -0/2*1, your x coordinate is therefore 0.
substitute your x coordinate into your equation to find your y coordinate..
y= 0^2+0+9
y=9.
Your coordinates of your vertex f(x) are therefore <u>(0,9) </u>
The translation of upward 10 units means that the y coordinate of the vertex will increase by 10. The coordinates of the vertex g(x) are therefore:
<u>(0, 19) </u>
substitute your vertex's y coordinate into f(x)
19=x^2+c
19=0+c
c=19
therefore <u>g(x)=x^2+19</u>
Answer:
the answer is 10.3
Step-by-step explanation:
Answer:
$48.66
Step-by-step explanation:
The price of a good is the base cost plus tax. We are given the cost of the skirt, so all we need is the amount of tax. To find it, we multiple the cost of the skirt by the tax rate:
45.99 * 0.058 = 2.67
We now add the tax to the cost of the skirt:
45.99 + 2.67 = 48.66
As you can see, we are adding the price of the skirt to 5.8% of the skirt's price, so we can also solve the problem by simply multiplying the cost by 1.058 as shown below:
45.99 * 1.058 = 48.66
