Hope this helps <span>1) </span><span>Equations with negative values for a</span><span> produce graphs that open down and equations with a positive values for a</span> produce graphs that open up.
<span>2)<span> </span></span><span>As the absolute value of a gets larger our graphs become more narrow (they shoot towards positive or negative infinity faster). This is more interesting than it might appear. If you consider the second derivative of any quadratic it will be the a</span><span> value. The second derivative represents acceleration, so the larger the a value the faster the increase of velocity and accordingly a quicker progression towards positive or negative infinity. Check this out in graphing calculator, press play to vary the value of a from -20 to 20. Notice that when the value of a approaches zero, the approximates a line, and of course when a is 0 we have the line y</span><span> = 2x</span><span> – 1.</span>
3/8 = 9/24
1/6 = 4/24
9+4=13
13/24
24-13 =
11/24
She spent 11/24 of her allowance on other items
To find the ratio, you just need to divide the two function and solve it. The calculation would be:
<span>F(t)=Q0(1+r)^t
F(0.11)/F(0.01) = 1.09/1.06
</span>Q0(1+r)^0.11 / Q0(1+r)^0.01 = 1.0291
(1+r)^(0.11-0.01) = <span>1.0291</span>
(1+r)^0.10 = 1.0291
(1+r)^0.10*10 = 1.0283 ^10
(1+r )= 1.3325
r = 0.323
The distance formula<span> is derived from the Pythagorean theorem. To </span>find the distance between two points<span> (x</span>1,y1) and (x2,y2<span>).
hope that helped
</span>
1/3x + y = 4....subtract 1/3x from both sides
y = -1/3x + 4 <===
