Answer:
ICarly ??
Step-by-step explanation:
I love this show lol
Answer:
x = 2 ± ![\sqrt{13}](https://tex.z-dn.net/?f=%5Csqrt%7B13%7D)
Step-by-step explanation:
Given
y = x² - 4x - 9
To find the zeros, set y = 0, that is
x² - 4x - 9 = 0 ( add 9 to both sides )
x² - 4x = 9
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 2)x + 4 = 9 + 4, that is
(x - 2)² = 13 ( take the square root of both sides )
x - 2 = ±
( add 2 to both sides )
x = 2 ±
← exact solutions
Answer:
x=2 and y=6; (2,6) are coordinate points
Step-by-step explanation:
5x-y=4........i)
2x+2y=16.....ii)
multiply eq.i) by 2
10x-2y=8...iii)
add eq ii and iii
10x-2y+2x+2y=8+16
12x=24
x=2
put x=2 in eq i
5(2)-y=4
10-4=y
6=y
Answer:
![\boxed {\boxed {\sf 136}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20136%7D%7D)
Step-by-step explanation:
The quadratic formula helps us find the roots of a quadratic equation. The equation is:
![\begin{array}{*{20}c} {x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} } \\ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%2A%7B20%7Dc%7D%20%7Bx%20%3D%20%5Cfrac%7B%7B%20-%20b%20%5Cpm%20%5Csqrt%20%7Bb%5E2%20-%204ac%7D%20%7D%7D%7B%7B2a%7D%7D%7D%20%7D%20%5C%5C%20%5Cend%7Barray%7D)
where ![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
The discriminant is just the part under the square root. This helps tell us if there are two, one, or zero real solutions.
The discriminant is:
![b^2-4ac](https://tex.z-dn.net/?f=b%5E2-4ac)
We are given the quadratic: ![9x^2-8x-2=0](https://tex.z-dn.net/?f=9x%5E2-8x-2%3D0)
Therefore, a is 9, b is -8, and c is -2.
![a=9 \\ b= -8 \\c= -2\\](https://tex.z-dn.net/?f=a%3D9%20%5C%5C%20b%3D%20-8%20%5C%5Cc%3D%20-2%5C%5C)
![(-8)^2-[4(9)(-2)]](https://tex.z-dn.net/?f=%28-8%29%5E2-%5B4%289%29%28-2%29%5D)
Solve the exponent.
![64-[4(9)(-2)]](https://tex.z-dn.net/?f=64-%5B4%289%29%28-2%29%5D)
Multiply 4, 9, and -2.
![64-(-72) = 64+72 \\=136](https://tex.z-dn.net/?f=64-%28-72%29%20%3D%2064%2B72%20%5C%5C%3D136)
The discriminant is 136. Since it is a non-zero, positive number, this quadratic has 2 real solutions/zeroes/roots.
one slice of pizza is $3.75
Step-by-step explanation:
first write out 2 simultaneous equations from thr given information.
fries=f and pizza=p
4p+2f=21
2p+3f=16.5
and solve from there through either the substitution method or elimination. hope this helps