Answer:
Step-by-step explanation:
If you plot the vertex and the point that it goes through, the point it goes through is above the vertex, so the vertex is a positive one that opens upwards. The general vertex form of a parabola of this type is
We have the x, y, h, and k. We will plug all those in and solve for a. That looks like this:
which simplifies to
-5 = 4a - 13 and
8 = 4a so
a = 2
That means that the paraobola in vertex form is
Let's solve your equation step-by-step.<span><span><span><span><span><span>2<span>x4</span></span>−<span>7<span>x3</span></span></span>+<span>4<span>x2</span></span></span>+<span>7x</span></span>−6</span>=0</span>Step 1: Factor left side of equation.<span><span><span><span><span>(<span>x+1</span>)</span><span>(<span>x−1</span>)</span></span><span>(<span>x−2</span>)</span></span><span>(<span><span>2x</span>−3</span>)</span></span>=0</span>Step 2: Set factors equal to 0.<span><span><span><span><span>x+1</span>=<span><span><span>0 or </span>x</span>−1</span></span>=<span><span><span>0 or </span>x</span>−2</span></span>=<span><span><span>0 or </span><span>2x</span></span>−3</span></span>=0</span><span><span><span><span>x=<span>−<span><span>1 or </span>x</span></span></span>=<span><span>1 or </span>x</span></span>=<span><span>2 or </span>x</span></span>=<span>32</span></span>Answer:<span><span><span><span>x=<span>−<span><span>1 or </span>x</span></span></span>=<span><span>1 or </span>x</span></span>=<span><span>2 or </span>x</span></span>=<span>3<span>2</span></span></span>
Answer:
(4b-9) (4b+9)
Step-by-step explanation:
16b^2 – 81
This is the difference of squares
(a^2 -c^2) = (a-c) (a+c)
a^2 = 16b^2 so a= 4b
c^2 = 81 so c = 9
(16b^2 – 81) = (4b-9) (4b+9)
The original cost of the dress was $20.
In order to find this, you need to divide the amount of the discount by the percentage of the discount. This will give you the whole number of the cost.
Discount/Percentage = Cost
$3/15% = Cost
$20 = Cost
You can find the slope using the following formula:
m=
Substitute the corresponding values into the equation.
m=
Simplify.
m=
m=-
