Answer:
Step-by-step explanation:
<h2>
<u>Lesson : Finding vertex from quadratic functions ,</u></h2><h2>
<u /></h2>
Given:
f(x) = (x - 3)(x - 2)
"Vertex"
Find the x intercepts by using the zero product property,
(x - 3) (x - 2) = 0
x = 3 x = 2
X-int = (3,0) , (2,0)
Now find the y intercepts by factoring the equation ,
(x - 3)(x - 2)
x * x
x^2
x * -2
x^2 -2x
-3 * x
x^2 -2x -3x
-3 * -2
x^2 -2x -3x + 6
Combining like terms:
x^2 -5x + 6
Replace x with zero,
0^2 -5(0) + 6
6
y intercept = (0,6)
Now graph :
Graph shown
Find vertex -
Answer:
10ft
Step-by-step explanation:
Think of the rectangle as two right triangles. Sides a and b on the triangle are 8ft and 6 ft. That's 8 squared + 6 squared = c squared. C is 10 ft.
To write 3000 as a fraction you have to write 3000 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
3000 = 3000/1 = 30000/10
And finally we have:
3000 as a fraction equals 30000/10
Answer:
It would look like the picture I attached at the bottom.
Step-by-step explanation:
We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.
It gets a little tricky because the question then adds the inequality, and we see that y is now less than <em>or equal to </em>the original equation.
Since it is less than, we can shade all the values below the graph.
(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).
Desmos is a great website to use if you're having trouble graphing in the future :)
I had this question today. I believe its either D or C, but my friend told me it was D. So, I think it's D. I hoped if this helped you or not. If you get it wrong Im very sorry so it would've been C.
