Answer:
It should be option B
Step-by-step explanation:
What it is basically asking is if Y = -4, find the value of x in the equation 6x + 7y = 4x + 4y
To solve this you just need to plug in -4 for y and solve for x
6x + 7(-4) = 4x + 4(-4)
6x - 28 = 4x - 16
Now isolate x by adding 28 to both sides
6x - 28 + 28 = 4x - 16 + 28
6x = 4x + 8
and subtract 4x from both sides
6x - 4x = 4x - 4x + 8
2x = 8
divide both sides by 2
2/2x = 8/2
x = 4
x = 4, y = -2
Answer: (4, - 2)
Hope it helps :)
Bransliest would be appreciated
The vertex form of the equation is:
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3, x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
n, n + 2, n + 4, n + 6 - four consecutive odd integers
-72 - the sum
The equation:
n + (n + 2) + (n + 4) + (n + 6) = -72
n + n + 2 + n + 4 + n + 6 = -72
4n + 12 = -72 |subtract 12 from both sides
4n = -84 |divide both sides by 4
n = -21
n + 2 = -21 + 2 = -19
n + 4 = -21 + 4 = -17
n + 6 = -21 + 6 = -15
Answer: -21, -19, -17, -15.