There is not a real way to justify this, but I saw first that 400-80 equals 320 which is double 160. This made me think that the period of time during this was 2 hours. The car drove 80 miles in two hours and the plane flew 400 miles in 2 hours. The period for one hour would be 40 mph for the car and 200 mph for the plane. 200-40=160. I have no idea how to prove it though and I’m hoping you can go backwards.
Answer:
(- ∞, 4 ]
Step-by-step explanation:
To determine the range we require the coordinates of the vertex
The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.
To obtain the zeros, equate f(x) to zero, that is
-(x + 5)(x + 1) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 1 = 0 ⇒ x = - 1
= 
= 
= - 3
Substitute x = - 3 into f(x) for corresponding value of y
f(- 3) = - (- 3 + 5)(- 3 + 1) = - (2)(- 2) = 4
Vertex = (- 3, 4)
Since a = - 1 then vertex is a maximum, hence
range is (- ∞, 4 ]
Let the numbers be 7x and 4x
According to question
7x-4x =57
3x =57
X=57/3
X=19
So the numbers are
7x=7*19=133
4x=4*19=76
The answer is 7000.
Any zero that isnt trapped between two non-zero numbers (on the left side of the decimal) is insignificant, therefore the 3 rounds down. hope this helped!
Answer:
y - 2 = -2 (x - 7)
Step-by-step explanation:
first you need to find the slope. the slope formula is (y₂ - y₁) / (x₂ - x₁) and if you plug the numbers in [(6,4) as the ₁'s and (7,2) as the ₂'s], you will get (2 - 4) / (7 - 6) which is -2. the point slope form is y - y₁ = m (x - x₁). in your equation, it has half of it done using (7, 2), so we'll use that as the ₁. plug it in, and you get y - 2 = -2 (x - 7)
hope this helps!
