Answer: x= 1 , y = 7
Step-by-step explanation:
y = -6x + 13 ................. equation 1
y = 3x + 4 ................ equation 2
substitute y = 3x + 4 into equation 1 , then we have
3x + 4 = - 6x + 13
collect the like terms , we have
3x + 6x = 13 - 4
9x = 9
x = 1
substitute x = 1 into equation 2 , we have
y = 3(1) + 4
y = 3 + 4
y = 7
Therefore : x = 1 and y = 7
Let p = the normal price.
Then 7(p - .75)= 2.80
Divide by 7: p - .75 = .40 and p = 1.15
Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
Answer:
27 minutes to complete the painting of 4 walls
Step-by-step explanation:
since 16m with 9p --> 8 walls
x minutes with 4p --> 6 walls?
let x= minutes
6 walls painted=(8/144 walls painted per minute)x
simplify
x= 6 divided by (8/144)
x=108 minutes (to complete 6 walls)
108/4=
27 minutes to complete the painting of 4 walls
