<span>y = 3x² + 18x
factor out the leading coefficient
y = 3(x²+6x)
Complete the square
coefficient of the x term: 6
divide it in half: 3
square it: 3²
use 3² to complete the square:
y = 3(x²+6x + 3²) - 3·3²
= 3(x+3)² - 3·3²
= 3(x+3)² - 27
vertex (-3, -27)</span>
Answer:
Plot and connect (5,4), (3,0) and (7,0).
Step-by-step explanation:
This is in factored form and can be graphed directly from the equation. The equation shows the x-intercepts.
The x-intercepts are found by solving for x using the zero product rule.
(x-3)=0 so x = 3
(x-7) = 0 so x = 7
The intercepts are (3,0) and (7,0). Plot the points. The vertex will occur halfway between these points. 7-3 / 2 = 4/2 = 2. This means the axis of symmetry is at x = 5 and this is the x-coordinate of the vertex too.
Substitute x = 5 into the equation and solve for y.
-(5-3)(5-7) = -(2)(-2) = 4
The vertex is (5,4). Plot it and connect the points.
You already have the base area, so to work out the volume, you just multiply 140 by 6.
Therefore, the answer is B. 840 ft³ :)
Answer:
(-1,6)
Step-by-step explanation:
Given that(4,6) is on the graph of f(x)
f(-4x) means x is multiplied by -4
When x is multiplied by -1 then there will be reflection over y axis
We multiply every point by -1. so multiply the x values of the given point (4,6) by -1
New point is (-4,6)
If any number is multiplied with x then there will be a horizontal compression or stretch.
4 is multiplied with x , so there will be horizontal compression because 4 is greater than 1
To get new point, we divide the x values by 4 for compression
we already got (-4,6) after multiplying by -1
Now we divide the x coordinate -4 by 4 = -1
So corresponding point for the function f(-4x) is (-1,6)
Answer:
Q = -5/8 * 2/3
Multiply both numbers like your multiplying actual numbers.
<em><u>(-5 * 2)/(8*3)</u></em>
<h2><em><u>
</u></em></h2><h2><em><u>
A = -10/24 = -5/12</u></em></h2><h2><em><u>
Hope this helps</u></em></h2>
