Answer:
The value of x is 1 and y = -2
Step-by-step explanation:
y = 2x²- 3x - 1;
y = x - 3
2x²- 3x - 1 = x - 3
2x² - 3x - 1 - x + 3 = 0
2x² - 4x + 2 = 0
take 2 as common
2(x² - 2x + 1) = 0
x² - 2x + 1 = 0
x² - x - x + 1 = 0
x(x - 1) - 1(x - 1) = 0
(x - 1) (x - 1) = 0
x - 1 = 0 or x - 1 = 0
x = 1 or x = 1
Now,
y = x - 3
y = 1 - 3
y = - 2
Thus, The value of x is 1 and y is -2
<u>-TheUnknown</u><u>Scientist</u>
Go -6 for x axis and -4 for y axis
Answer: 1078m^2
Step-by-step explanation:
ok, so the surface area of a figure is the area of that entire thing so what we are going to do is find the area of every part of this , the area of each base is 17*19. the area of each of the other sides are 6*17 and 6*19.
Answer:
Step-by-step explanation:
Convert this Quadratic Equation to Vertex Form by completing the square, ![\displaystyle y = a[x - h]^2 + k](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20a%5Bx%20-%20h%5D%5E2%20%2B%20k)
:
![\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-5x%5E2%20-10x%20%2B%206%20%5C%5C%20%5C%5C%20-5x%5E2%20-%2010x%20%2B%2025%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20-%205%5D%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%20k%20%E2%86%92%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%2011%20%E2%86%92%20f%28x%29%20%3D%20-5%5Bx%20%2B%201%5D%5E2%20%2B%2011%20%5C%5C%20%5C%5C%20Vertex%3A%20%5B-1%2C%2011%5D%3B%2011%20%3D%20Maximum)
So as you can see, each time we broke the equation down, we used the formula ![\displaystyle [\frac{b}{2}]^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B%5Cfrac%7Bb%7D%7B2%7D%5D%5E2)
to complete the square.
** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.
I am joyous to assist you anytime.
